diff options
Diffstat (limited to 'Master')
53 files changed, 11208 insertions, 1582 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures.zip b/Master/texmf-dist/doc/latex/tablor/Figures.zip Binary files differdeleted file mode 100644 index ae85df1bd44..00000000000 --- a/Master/texmf-dist/doc/latex/tablor/Figures.zip +++ /dev/null diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp b/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp new file mode 100644 index 00000000000..278ebac4b18 --- /dev/null +++ b/Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp @@ -0,0 +1,22 @@ + beginTableau(105) +newLigneVariables(btex $ {x}$ etex); + val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); +val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); +val(btex $\frac{\sqrt{5}}{5} $ etex); +val(btex $50$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); + plus;barre; + plus; + valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + + newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); + moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + +endTableau; + +
\ No newline at end of file diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/capture.eps b/Master/texmf-dist/doc/latex/tablor/Figures/capture.eps new file mode 100644 index 00000000000..7cf5b460c50 --- /dev/null +++ b/Master/texmf-dist/doc/latex/tablor/Figures/capture.eps @@ -0,0 +1,1509 @@ +%!PS-Adobe-1.0 EPSF-3.0 +%%BoundingBox: 0 1 1384 842 +%%Creator: KDE 3.5.5 +%%CreationDate: sam fv 2 19:51:19 2008 +%%Orientation: Portrait +%%Pages: 1 +%%DocumentFonts: + +%%EndComments +%%BeginProlog +% Prolog copyright 1994-2005 Trolltech. You may copy this prolog in any way +% that is directly related to this document. 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new file mode 100644 index 00000000000..cdeeb091e99 --- /dev/null +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp @@ -0,0 +1,540 @@ +input tableauVariation; +verbatimtex +%&latex +\documentclass{article} +\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien ! +\usepackage{amsmath} +\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas +\renewcommand\cdot{ } % idem pour les cdot +\begin{document} +etex +beginTableau(0) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); +val(btex $0$ etex); +val(btex $7$ etex); + +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $25$ etex,1); valPos(btex $0$ + etex,0); +valPos(btex $49$ etex,1); +endTableau; + +beginTableau(1) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $0$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); valPos(btex $0$ + etex,0); +valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + + + +beginTableau(2) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $0$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus; +endTableau; + +beginTableau(3) newLigneVariables(btex $t$ etex);val(btex $-10$ etex); +val(btex $-1$ etex); +val(btex $0$ etex); +val(btex $1$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(t)}$ etex); plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {g}}$ etex);valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex + $\mbox{+}\infty $ + etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ + etex,1);limGauche(btex + $-\infty$ + etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $1$ etex,0); + +endTableau; + +beginTableau(4) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(5) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\frac{5}{2}$ etex); +val(btex $4$ etex); +val(btex $6$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\mbox{ln}\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(6) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\alpha_2$ etex);val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex); +valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ + etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex + $ 10 $ etex,0.5); + valPos(btex $1$ etex,0); +endTableau; + +beginTableau(7) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex); +valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $\mbox{+}\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex + $ -1 $ etex,0.5); + valPos(btex $0$ + etex,1);valPos(btex + $ -1 $ etex,0.5); + limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $\mbox{+}\infty $ etex,1);valPos(btex $1$ etex,0); +endTableau; + +beginTableau(9) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +val(btex $ 0.212584$ etex); +val(btex $ 0.584635$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {g}}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $ -2.818394$ + etex,1);valPos(btex $ -2.944288$ + etex,0); +valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + + + beginTableau(10) + newLigneVariables(btex $ {x}$ etex); + val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex); +val(btex $5$etex); +val(btex $+\infty$ etex); + newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-2x+3}}$ etex);plus;valBarre(btex 0 etex);moins;barre;moins; +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) +newLigneVariables(btex $ {x}$ etex); + val(btex $\mbox{-}\infty $ etex);val(btex $\mbox{-}\left(\sqrt{2}\right)$ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\sqrt{2}$ etex); +val(btex $\frac{3}{2}$ etex); +val(btex $\mbox{+}\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); + plus;barre; + plus;barre; + plus;barre; + plus;barre; + plus;valBarre(btex 0 etex);moins; + + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-1}}$ etex); + plus;barre; + plus; + valBarre(btex 0 etex);moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}\mbox{+}1}}$ etex); + plus;barre; + plus;barre; + plus;barre; + plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-1}}$ etex); + moins;barre; + moins;barre; + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-2}}$ etex); + plus; + valBarre(btex 0 etex);moins;barre; + moins;barre; + moins; + valBarre(btex 0 etex);plus;barre;plus; + + newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); + moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins; + +endTableau; + + beginTableau(12) +newLigneVariables(btex $ {x}$ etex); + val(btex $-15$ etex);val(btex $-10$ etex); +val(btex $10$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-10}}$ etex); + moins;barre;moins; + + valBarre(btex 0 etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex); + moins;valBarre(btex 0 etex);plus; + + newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); + plus;valBarre(btex 0 etex); moins; + valBarre(btex 0 etex); +endTableau; + + +beginTableau(13) +newLigneVariables(btex $ {x}$ etex); + val(btex $\mbox{-}\infty $ etex);val(btex $-4$ etex); +val(btex $\frac{5}{4}$ etex); +val(btex $\frac{3}{2}$ etex); +val(btex $2$ etex); +val(btex $4$ etex); +val(btex $\mbox{+}\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); + plus;barre; + plus;barre; + plus; + valBarre(btex 0 etex);moins;barre; + moins;barre;moins; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(4\cdot \mbox{x}\right)\mbox{+}5}}$ etex); + plus;barre; + plus; + valBarre(btex 0 etex);moins;barre; + moins;barre; + moins;barre;moins; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}-16}}$ etex); + plus; + valBarre(btex 0 etex);moins;barre; + moins;barre; + moins;barre; + moins;valBarre(btex 0 etex);plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-2}}$ etex); + moins;barre; + moins;barre; + moins;barre; + moins; + valBarre(btex 0 etex);plus;barre;plus; + newLigneSignes(btex $\hbox{ Signe de}\atop{{\displaystyle Q(x)}}$ etex); + moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus; +endTableau; + + +beginTableau(14) +newLigneVariables(btex $ {x}$ etex); + val(btex $\mbox{-}\infty $ etex);val(btex $-10$ etex); +val(btex $10$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-10}}$ etex); + moins;barre;moins; + + valBarre(btex 0 etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}10}}$ etex); + moins;valBarre(btex 0 etex);plus; + newLigneSignes(btex $\hbox{ Signe de}\atop{{\displaystyle Q(x)}}$ etex); + plus;nonDefBarre; moins; + valBarre(btex 0 etex); +endTableau; + + + +beginTableau(15) +newLigneVariables(btex $\displaystyle {x}$ etex); + val(btex $-10$ etex);val(btex $-5$ etex); +val(btex $10$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x}-10)\cdot (\mbox{x}\mbox{+}5)}}$ etex); + plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex); +endTableau; + + beginTableau(105) +newLigneVariables(btex $ {x}$ etex); + val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex); +val(btex $\mbox{-}\frac{\sqrt{5}}{5} $ etex); +val(btex $\frac{\sqrt{5}}{5} $ etex); +val(btex $50$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot \mbox{x}\mbox{+}2}}$ etex); + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {5\cdot \mbox{x}^{2}-1}}$ etex); + plus;barre; + plus; + valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + + newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); + moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus; + +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 $\mbox{+}\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 $\mbox{+}\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$ + etex,0);valPos(btex + $ 2 $ etex,0.5);valPos(btex $\mbox{+}\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 $\mbox{+}\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 $0$ + etex,0);valPos(btex + $ 2 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $1$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0); + +endTableau; + +beginTableau(21) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\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);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 $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$ + etex,1);valPos(btex + $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0); +endTableau; + +beginTableau(22) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +val(btex $\pi $ etex); +val(btex $2\cdot \pi $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins; valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $1$ etex,1); valPos(btex $-1$ + etex,0); +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); + +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 $\mbox{+}\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); +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 $\frac{3}{4} \times \sqrt{3}$ + etex,1);valPos(btex + $ 1 $ etex,0.5);valPos(btex $0$ etex,0); +endTableau; + +beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex); +val(btex $0$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);nonDefBarre;limDroite(btex $-\infty$ etex,0); valPos(btex $0$ + etex,1);valPos(btex $-\infty$ etex,0); + +endTableau; + + beginTableau(26) +newLigneVariables(btex $ {x}$ etex); + val(btex $-10$ etex);val(btex $-\left(\frac{1}{2} \times \sqrt{5}\right)\mbox{+}\frac{-3}{2}$ etex); +val(btex $-1$ etex); +val(btex $\frac{1}{2} \times \sqrt{5}\mbox{+}\frac{-3}{2}$ etex); +val(btex $1$ etex); +val(btex $\frac{3}{2}$ etex); +val(btex $\mbox{+}\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(2\cdot \mbox{x}\right)\mbox{+}3}}$ etex); + plus;barre; + plus;barre; + plus;barre; + plus;barre; + plus;valBarre(btex 0 etex);moins; + + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}-1}}$ etex); + moins;barre; + moins;barre; + moins;barre; + moins; + valBarre(btex 0 etex);plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {\mbox{x}\mbox{+}1}}$ etex); + moins;barre; + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre; + plus;barre;plus; + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x})^{2}\mbox{+}3\cdot \mbox{x}\mbox{+}1}}$ etex); + plus; + valBarre(btex 0 etex);moins;barre; + moins; + valBarre(btex 0 etex);plus;barre; + plus;barre;plus; + + newLigneSignes(btex $\hbox{ Signe du }\atop{{\displaystyle \rm produit}}$ etex); + plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins; + +endTableau; + + beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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 $-\left(e^{-4}\right)-1$ + etex,0);valPos(btex + $ 0 $ etex,0.5);valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(28) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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 $2$ + etex,1);valPos(btex + $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); +endTableau; + +beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $0$ etex); +val(btex $1$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; valBarre(btex 0 etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $0$ etex,0); valPos(btex $\mbox{ln}\left(\frac{(e^{1}\mbox{+}1)}{e^{1}}\right)$ + etex,1);valPos(btex $0$ etex,0); + +endTableau; + +beginTableau(31) 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 $\mbox{+}\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex); +nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$ + etex,1);valPos(btex + $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0); +endTableau; + + + +beginTableau(33) +newLigneVariables(btex $\displaystyle {x}$ etex); + val(btex $-10$ etex);val(btex $10$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(\mbox{x}-10)\cdot (\mbox{x}\mbox{+}10)}}$ etex); + valBarre(btex 0 etex);plus; + valBarre(btex 0 etex); +endTableau; + +beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $\mbox{-}\left(\sqrt{2}\right)$ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\sqrt{2}$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDef;finNonDef;moins;valBarre(btex 0 etex);plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $-1$ etex); +val(btex $1$ etex); +val(btex $\frac{5}{2}$ etex); +val(btex $4$ etex); +val(btex $6$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\mbox{+}\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 $\mbox{+}\infty $ etex,1); +endTableau; + +beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-5$ etex); +val(btex $\frac{2}{5}$ etex); +val(btex $10$ etex); + +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $\frac{169}{2}$ etex,1); valPos(btex $\frac{58}{5}$ + etex,0); +valPos(btex $242$ etex,1); +endTableau; + +beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $-20$ etex); +val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex); +val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex); +val(btex $20$ etex); + +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $-26047$ etex,0); valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{-1681}{243}$ + etex,1);valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{-1681}{243}$ + etex,0); +valPos(btex $22033$ etex,1); +endTableau; + +beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $-20$ etex); +val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)\mbox{+}\frac{5}{9}$ etex); +val(btex $\frac{1}{9} \times \sqrt{7}\mbox{+}\frac{5}{9}$ etex); +val(btex $20$ etex); + +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $26047$ etex,1); valPos(btex $-\left(\frac{14}{243} \times \sqrt{7}\right)\mbox{+}\frac{1681}{243}$ + etex,0); +valPos(btex $\frac{14}{243} \times \sqrt{7}\mbox{+}\frac{1681}{243}$ + etex,1);valPos(btex $-22033$ etex,0); + +endTableau; + + + +beginTableau(40) +newLigneVariables(btex $\displaystyle {x}$ etex); + val(btex $-20$ etex);val(btex $ 1.942052$ etex); +val(btex $20$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {-\left(3\cdot (\mbox{x})^{3}\right)\mbox{+}5\cdot (\mbox{x})^{2}-\left(2\cdot \mbox{x}\right)\mbox{+}7}}$ etex); + plus;valBarre(btex 0 etex); moins; + +endTableau; + + + +beginTableau(41) +newLigneVariables(btex $\displaystyle {x}$ etex); + val(btex $-20$ etex);val(btex $ 1.942052$ etex); +val(btex $20$ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {3\cdot (\mbox{x})^{3}-\left(5\cdot (\mbox{x})^{2}\right)\mbox{+}2\cdot \mbox{x}-7}}$ etex); + moins;valBarre(btex 0 etex); plus; + +endTableau; + +beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex);val(btex $ 0.000000$ etex);val(btex $\alpha_1$ etex);val(btex $\mbox{+}\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$ + etex,1);valPos(btex + $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0); +endTableau; + +beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $\mbox{-}\infty $ etex); +val(btex $ 0.639232$ etex); +val(btex $\mbox{+}\infty $ etex); + +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle {f}}$ etex);valPos(btex $-\infty$ etex,0); valPos(btex $ 0.967397$ + etex,1);valPos(btex $-\infty$ etex,0); + +endTableau; + +end diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html index 0668506334f..4ab2e40bfe3 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -37,11 +37,6 @@ font-weight: bold; text-decoration: underline; } - .font-latex-bold { - /* font-latex-bold-face */ - color: #6b8e23; - font-weight: bold; - } .font-latex-math { /* font-latex-math-face */ color: #ffa500; @@ -68,6 +63,10 @@ color: #6495ed; font-weight: bold; } + .type { + /* font-lock-type-face */ + color: #9290ff; + } .variable-name { /* font-lock-variable-name-face */ color: #98fb98; @@ -87,14 +86,57 @@ </head> <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>}[14/05/2008 v2.05 la machine à créer des tableaux de signes et variations] +<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[16/05/2008 v2.06 la machine à créer 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 </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="comment">avec l'efficace participation de Jean-Michel </span><span class="comment"><span class="flyspell-incorrect">Boucart</span></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">enteteMP.cfg : configuration de l'entête MetaPOST +</span><span class="comment-delimiter">% </span><span class="comment">à modifier si besoin +</span><span class="comment-delimiter">%</span><span class="comment"> +</span><span class="comment-delimiter">%%%%%</span><span class="comment"> +</span> +<span class="font-latex-sedate">\RequirePackage</span>{filecontents} + + + +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{filecontents*}</span>{enteteMP.cfg} +input tableauVariation; +verbatimtex +<span class="comment-delimiter">%</span><span class="comment">&latex +</span><span class="font-latex-sedate"><span class="keyword">\documentclass</span></span><span class="function-name">{article}</span> +<span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span> <span class="comment">% ou mathpazo, lmodern, etc. ou rien ! +</span><span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="function-name">{amsmath}</span> +<span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="font-latex-sedate"><span class="keyword">\mbox</span></span><span class="variable-name">[1]</span><span class="function-name">{ #1 }</span> <span class="comment">% pour les mbox intempestifs de xcas +</span><span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="font-latex-sedate">\cdot</span>{ } <span class="comment">% idem pour les cdot +</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{document}</span> +etex +<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{filecontents*}</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">FIN de enteteMP.cfg +</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">Crée 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} @@ -141,7 +183,7 @@ </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 permet l'affichage intermédiaire du +</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">fichier metapost pour le modifier </span><span class="comment-delimiter">%</span><span class="comment"> </span><span class="comment-delimiter">%</span><span class="comment"> @@ -156,20 +198,30 @@ </span><span class="comment-delimiter">%% </span><span class="comment">ne l'avez pas de base </span> -<span class="font-latex-sedate">\RequirePackage</span>{ifthen} +<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">ifthen</span>} <span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">fancyvrb</span>} <span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>} + +<span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix d'OS +</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{false} + + + +<span class="comment-delimiter">%% </span><span class="comment">Définit des commandes disque selon l'OS utilisé +</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">% +</span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{rm }<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{cat } + <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{cp }} + + <span class="comment-delimiter">% </span><span class="comment">option xcas présent </span> <span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-duplicate">false</span>} -<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}} - -<span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix </span><span class="comment"><span class="flyspell-incorrect">d'OS</span></span><span class="comment"> -</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>} - +<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}} <span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier extérieur pour la </span><span class="comment"><span class="flyspell-incorrect">plateforme</span></span><span class="comment"> @@ -182,7 +234,7 @@ <span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via </span><span class="comment"><span class="flyspell-incorrect">pdflatex</span></span><span class="comment"> </span> <span class="font-latex-sedate">\ifpdf</span> -<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{mps}{*}{} +<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{<span class="flyspell-incorrect">mps</span>}{*}{} <span class="font-latex-sedate">\fi</span> <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires @@ -192,19 +244,12 @@ -<span class="comment-delimiter">%% </span><span class="comment">En-tête pour le fichier metapost contenant les codes -</span><span class="comment-delimiter">%% </span><span class="comment">de tous les tableaux produits +<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>[commandchars=?WW]{tete.mp} - input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-sedate"><span class="keyword">\documentclass</span></span><span class="function-name">{article}</span> - \?fonte - <span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="function-name">{amsmath}</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">\Mathbold</span></span><span class="function-name">}</span>[1]{<span class="font-latex-sedate"><span class="keyword">\mbox</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\boldmath</span></span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="font-latex-sedate"><span class="function-name">\unboldmath</span></span><span class="function-name">}</span>} - <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{document}</span> - <span class="flyspell-duplicate">etex</span> + +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.<span class="flyspell-duplicate">mp</span>} + +<span class="flyspell-duplicate">end</span> <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -215,14 +260,6 @@ </span><span class="comment-delimiter">%% </span><span class="comment">Clôt le fichier metapost contenant le récapitulatif de tous les tableaux </span> -<span class="comment-delimiter">%% </span><span class="comment">Définit des commandes disque selon l'OS utilisé -</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">% -</span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{DEL } <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{TYPE } - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{COPY }}<span class="comment">% -</span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{rm }<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cat</span> } - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cp</span> }} - - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nettoyer</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]<span class="comment">% </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log} @@ -258,7 +295,7 @@ </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="comment">% -</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> -f tete.mp <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}<span class="comment">% Reconstituer l'entête de Tableaux.mp +</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> -f enteteMP.cfg <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}<span class="comment">% Reconstituer l'entête de Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment"> </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 @@ -270,11 +307,11 @@ </span> -<span class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon l'OS +<span class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon </span><span class="comment"><span class="flyspell-duplicate">l'OS</span></span><span class="comment"> </span> <span class="font-latex-sedate">\makeatletter</span> <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\executGiacmp</span></span><span class="function-name">}</span>[1]{<span class="comment">% -</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">% +</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">% </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac #1 }}<span class="comment">% </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac <#1 }}} <span class="font-latex-sedate">\makeatother</span> @@ -284,7 +321,7 @@ <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 SCRIPTS GIAC/XCAS +</span><span class="comment-delimiter">%%% </span><span class="comment">LES SCRIPTS GIAC/</span><span class="comment"><span class="flyspell-incorrect">XCAS</span></span><span class="comment"> </span><span class="comment-delimiter">%</span><span class="comment"> </span><span class="comment-delimiter">%%%</span><span class="comment"> </span> @@ -296,7 +333,7 @@ </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>[commandchars=?WW]{XcasTV.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.cxx} TV(L,F,nom,nomv,f,ftt,nmr):={ nl:=size(L); f:=unapply(f,x); @@ -306,8 +343,8 @@ S:=resoudre(fp(x),x); si size(S)>0 alors pour j de 0 jusque size(S)-1 faire kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); if(kk==1){Z:=append(Z,simplifier(S[j]))}; - fpour - fsi; + <span class="flyspell-duplicate">fpour</span> + <span class="flyspell-duplicate">fsi</span>; Z:=sort(Z); nz:=size(Z); @@ -319,16 +356,16 @@ pour u de 1 jusque nz-2 faire fpour; nz:=size(Z); l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" "; -pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); +pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>); ";fpour; k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ +<span class="flyspell-duplicate">lsi</span>:=" +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ - if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ + if(fp(Z[0])==0){"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"}else{" "}+ if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }} @@ -337,13 +374,13 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; if(ksp==1){"plus;"}else{"moins;"} }; } -<span class="flyspell-duplicate">lsf</span>:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; +lsf:=if(member(Z[nz-1],F)==0){""}else{"<span class="flyspell-duplicate">nomDefBarre</span>; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneVariations</span>(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} - else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ + else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+ if(k0==1){"1"}else{"0"}+ ");"; @@ -359,93 +396,35 @@ newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span clas "}}} }; } -lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; +lnz:=limite(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+ - if(kz==1){"1);"}else{"0); + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0); "}; -intro:="input <span class="flyspell-duplicate">tableauVariation</span>; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -<span class="flyspell-duplicate">lf</span> -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}} - - - MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } }else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ l0+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ lf @@ -457,29 +436,28 @@ if(nz>2){"beginTableau("+nmr+")"+ l0+ lsi+lsp+lsf+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" endTableau; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ lsi+lsf+ li+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";} }} sortie:=fopen("XCasmpfc.mp"); -fprint(sortie,Unquoted,MetaLfc); +<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -491,12 +469,12 @@ return(MetaL); </span><span class="comment-delimiter">%% </span><span class="comment">par exemple, pour sqrt(x^2-1) : TVZ([-infinity,100],[],[[-1,1]],"f","x",sqrt(x^2-1),1,1) </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>[commandchars=?WW]{XcasTVZ.<span class="flyspell-duplicate">cxx</span>} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVZ.<span class="flyspell-duplicate">cxx</span>} TVZ(L,F,FF,nom,nomv,f,ftt,nmr):={ nl:=size(L); -nf:=size(FF); +nf:=size(<span class="flyspell-duplicate">FF</span>); Ff:=NULL;IMIN:=NULL;IMAX:=NULL; for(k:=0;k<nf;k++){ if(FF[k][0]>L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]}; @@ -505,11 +483,11 @@ if(FF[k][1]<L[1]){Imax[k]:=FF[k][1];LL:=L}else{Imax[k]:=L[1];LL:=[L[0]]}; IMIN:=IMIN,Imin[k]; IMAX:=IMAX,Imax[k]; } - FF:=[Ff]; + FF:=[<span class="flyspell-duplicate">Ff</span>]; IMIN:=[IMIN]; IMAX:=[IMAX]; f:=unapply(f,x); -fp:=fonction_derivee(f); +<span class="flyspell-duplicate">fp</span>:=fonction_derivee(f); Z:=concat(LL,F); for(k:=0;k<nf;k++){ @@ -520,29 +498,29 @@ S:=resoudre(fp(x),x); si size(S)>0 alors pour j de 0 jusque size(S)-1 faire for(k:=0;k<nf;k++){ kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); - kK:=(evalf(S[j])<evalf(Imin[k])) or (evalf(S[j])>evalf(Imax[k])); + kK:=(evalf(S[j])<evalf(Imin[k])) or (evalf(S[j])><span class="flyspell-duplicate">evalf</span>(Imax[k])); Kk:=(kk) and kK; if(Kk==1){Z:=append(Z,simplifier(S[j]))}; } fpour - fsi; + <span class="flyspell-duplicate">fsi</span>; Z:=sort(Z); nz:=size(Z); - si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1; + si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1; fsi; pour u de 1 jusque nz-2 faire si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1; fsi; fpour; -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=size(Z); for(j:=0;j<nf;j++){ for(k:=1;k<nz;k++){ - if ((Z[k]>Imin[j])and(Z[k]<Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=nz-1; + if ((Z[k]>Imin[j])and(Z[k]<Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1; } } } @@ -550,12 +528,12 @@ 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])+"$</span> etex); -";fpour; +";<span class="flyspell-duplicate">fpour</span>; k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); -lsi:=" +<span class="flyspell-duplicate">lsi</span>:=" newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ @@ -565,22 +543,22 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; - lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{ + lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}<span class="flyspell-duplicate">else</span>{ if(member(Z[r],IMAX)!=0){"finNonDef;"+ - if(ksp==1){"plus;"}else{"moins;"}}else{ - if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ + if(ksp==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{ + if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ if(ksp==1){"plus;"}else{"moins;"} }}}}; -lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; +<span class="flyspell-duplicate">lsf</span>:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; "}} -lm0:=limite(f(x),x=Z[0],1)==-infinity; +lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>; li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneVariations</span>(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -590,137 +568,79 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ krm:=evalf(limite(f(x),x=Z[r-1],1))< evalf(limite(f(x),x=Z[r],-1)); krp:=evalf(limite(f(x),x=Z[r],1))> evalf(limite(f(x),x=Z[r+1],-1)) ; - lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity; + lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>; lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){ "-\\infty"}else{ latex(simplifier(limite(f(x),x=Z[r],-1)))} +"$</span> etex,"+if(krm==1){ "1);"}else{"0);"} - +"debutNonDef;" - }//fsi Zr=Imin + +"<span class="flyspell-duplicate">debutNonDef</span>;" + }//fsi Zr=<span class="flyspell-duplicate">Imin</span> else{ if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ "-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))} - +"$</span> etex,"+if(<span class="flyspell-duplicate">krp</span>==1){ - "1);"}else{"0);"} + +"$</span> etex,"+if(krp==1){ + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} } else { if(member(Z[r],F)){ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){ "-\\infty"}else{ latex(simplifier(limite(f(x),x=Z[r],-1)))} - +"$</span> etex,"+if(krm==1){ + +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){ "1);"}else{"0);"} +"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ "-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))} +"$</span> etex,"+if(krp==1){ - "1);"}else{"0);"} + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} }//fsi (member Zr F) else{"valPos(btex<span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>etex,"+ if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){ "0.5);"}else{ if(krp==1){ - "1);"}else{"0);"}//felse(krp) - }//felse(valpos) + "1);"}else{"0);"}//felse(<span class="flyspell-duplicate">krp</span>) + }//felse(<span class="flyspell-incorrect">valpos</span>) }//felse(member Zr F) } //felse(Zr=Imax) }//felse(Zr=Imin) };//ffor - }//fsi nz + }//fsi <span class="flyspell-duplicate">nz</span> -lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; +<span class="flyspell-duplicate">lnz</span>:=limite(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+ - if(kz==1){"1);"}else{"0); + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0); "}; -intro:="input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -<span class="flyspell-duplicate">lf</span> -+" -endTableau; -end";} -}} - - - MetaLfc:=if(ftt==2){if(nz>2){" -beginTableau("+nmr+")"+ +beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+lsi+lsp+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{ -intro+"beginTableau("+nmr+")"+ +intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ -lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">lsi</span>+lsf+" +<span class="flyspell-duplicate">endTableau</span>; "; } -}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ +}else{ if(ftt==0){if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ -lf +<span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ @@ -730,7 +650,7 @@ li+ lp+ <span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{"beginTableau("+nmr+")"+ l0+ @@ -738,7 +658,7 @@ lsi+lsf+ li+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";} }} @@ -748,8 +668,6 @@ sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); - -return(MetaL); } :; @@ -764,7 +682,7 @@ return(MetaL); </span> -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{XcasTVapp.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.<span class="flyspell-duplicate">cxx</span>} @@ -772,7 +690,7 @@ return(MetaL); -<span class="flyspell-duplicate">TVapp</span>(L,F,nom,nomv,f,ftt,nmr):={ +TVapp(L,F,nom,nomv,f,ftt,nmr):={ nl:=size(L); @@ -781,14 +699,14 @@ fp:=fonction_derivee(f); z0:=concat(L,F);z:=sort(z0); nz:=size(z); if(L==[-infinity,+infinity]){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=-100..100);} -else{if(L[0]==-infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=-100..L[1]);} +<span class="flyspell-duplicate">else</span>{if(L[0]==-infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=-100..L[1]);} else{if(L[1]==+infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=L[0]..100);} else{S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=z[0]..z[nz-1])}}}; si size(S)>0 alors pour j de 0 jusque size(S)-1 faire kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (evalf(S[j])<=L[1]); if(kk==1){if(kok==1){z:=append(z,simplifier(S[j]))}}; fpour; -fsi; +<span class="flyspell-duplicate">fsi</span>; S:=NULL; @@ -811,18 +729,18 @@ for(j:=1;j<nz;j++){ Z:=[S]; -<span class="flyspell-duplicate">nz</span>:=size(Z); +nz:=size(Z); l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" "; -pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); +pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>); ";fpour; k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ - if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ + if(fp(Z[0])==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }} @@ -835,10 +753,10 @@ lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);"+ +newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ - if(k0==1){"1"}else{"0"}+ + if(k0==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+ ");"; if(nz>2){ for(r:=1; r<=nz-2;r++){ krm:=evalf(limite(f(x),x=Z[r-1],1))< evalf(limite(f(x),x=Z[r],-1)); @@ -853,65 +771,10 @@ newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span clas lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+ - if(kz==1){"1);"}else{"0); + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0); "}; -intro:="input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -<span class="flyspell-duplicate">intro</span>+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}} @@ -924,25 +787,25 @@ endTableau; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ -lsi+lsf+" +<span class="flyspell-duplicate">lsi</span>+lsf+" endTableau; "; } -}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ +}else{ if(ftt==0){if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ lp+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{"beginTableau("+nmr+")"+ l0+ li+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ @@ -960,7 +823,7 @@ lsi+lsf+ li+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} }} @@ -971,7 +834,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; @@ -997,11 +859,11 @@ return(MetaL); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{XcasTVI.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.cxx} -TVI(L,F,nom,nomv,f,ftt,ao,nmr):={ -nl:=size(L); +<span class="flyspell-duplicate">TVI</span>(L,F,nom,nomv,f,ftt,ao,nmr):={ +<span class="flyspell-duplicate">nl</span>:=size(L); f:=unapply(f,x); fp:=fonction_derivee(f); Z:=concat(L,F); @@ -1017,11 +879,11 @@ nz:=size(Z); si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1; fsi; pour u de 1 jusque nz-2 faire - si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1; + si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1; fsi; fpour; nz:=size(Z); -l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" "; +l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" "; @@ -1041,22 +903,22 @@ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex) if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0); TestL:=(abs(LL[k])==abs(LL[k+1])); if(TestS==0){ if( TestL==1 ){l0:=l0}else{ -A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> <span class="flyspell-duplicate">etex</span>);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}} +A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=<span class="flyspell-duplicate">kk</span>+1}} l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex); "}; -TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); +<span class="flyspell-duplicate">TestS</span>:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); lsi:=" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ - if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ + if(fp(Z[0])==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "}; @@ -1065,30 +927,30 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\di if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); ksp:=evalf(fp(Z[r]+0.01))>0; TestL:=(abs(LL[r])==abs(LL[r+1])); - lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ + lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "}; }} -else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0); +else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(<span class="flyspell-duplicate">LL</span>[r+1]-ao))==0.0); TestL:=(abs(LL[r])==abs(LL[r+1])); if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;} } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;} }} }; lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"} -lm0:=limite(f(x),x=Z[0],1)==-infinity; +<span class="flyspell-duplicate">lm</span>0:=limite(f(x),x=Z[0],1)==-infinity; -TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); +<span class="flyspell-duplicate">TestS</span>:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex); +newLigneVariations(btex <span class="font-latex-math">$\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$</span> <span class="flyspell-duplicate">etex</span>); "+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ - if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "}; + if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}<span class="flyspell-duplicate">else</span>{" "}; if(nz>2){if(nz==NL){for(r:=1; r<=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); @@ -1096,7 +958,7 @@ newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span clas krp:=evalf(limite(f(x),x=Z[r],1))> evalf(limite(f(x),x=Z[r+1],-1)) ; lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity; lp:=lp+if(member(Z[r],F)) { - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} + "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span> etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);" @@ -1104,12 +966,12 @@ newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span clas };//for }else{rr:=1;for(r:=1; r<=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); krm:=evalf(limite(f(x),x=Z[rr-1],1))< evalf(limite(f(x),x=Z[rr],-1)); - krp:=evalf(limite(f(x),x=Z[rr],1))> evalf(limite(f(x),x=Z[rr+1],-1)) ; + krp:=evalf(limite(f(x),x=Z[rr],1))> evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>+1],-1)) ; lmrm:=limite(f(x),x=Z[rr],-1)==-infinity;lmrp:=limite(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1])); if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) { "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span> - etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex + etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$ "+ao+" $</span> etex,0.5); ";rr:=rr+1; }// else testL==1 @@ -1117,9 +979,9 @@ if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) { else{lp:=lp+if(member(Z[rr],F)){ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span> - etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0); + etex,"+if(sign(evalf(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0); "}}};rr:=rr+1; -}//else <span class="flyspell-duplicate">testS</span>==0 +}//else testS==0 }//for nz<NL }// else nz<NL //if nz=NL @@ -1128,77 +990,20 @@ else{lp:=lp+if(member(Z[rr],F)){ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+ - if(kz==1){"1);"}else{"0);"}; + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}; -intro:=" -input tableauVariation; -verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - -"; - - -MetaL:= if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ -if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -<span class="flyspell-duplicate">lp</span>+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}}; - MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{ "beginTableau("+nmr+")"+ l0+ lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } @@ -1206,12 +1011,12 @@ endTableau; if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ l0+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" endTableau; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ lf @@ -1223,7 +1028,7 @@ if(nz>2){"beginTableau("+nmr+")"+ lsi+lsp+lsf+ li+ lp+ -lf +<span class="flyspell-duplicate">lf</span> +" endTableau; @@ -1245,7 +1050,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(<span class="flyspell-duplicate">MetaL</span>); }:; @@ -1266,10 +1070,10 @@ return(<span class="flyspell-duplicate">MetaL</span>); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{XcasTVIapp.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.cxx} -TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={ +<span class="flyspell-duplicate">TVIapp</span>(L,F,nom,nomv,f,ftt,ao,nmr):={ nl:=size(L); @@ -1279,13 +1083,13 @@ z0:=concat(L,F);z:=sort(z0); nz:=size(z); if(L==[-infinity,+infinity]){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=-100..100);} else{if(L[0]==-infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=-100..L[1]);} -else{if(L[1]==+infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=L[0]..100);} +<span class="flyspell-duplicate">else</span>{if(L[1]==+infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=L[0]..100);} else{S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=z[0]..z[nz-1])}}}; si size(S)>0 alors pour j de 0 jusque size(S)-1 faire - kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (evalf(S[j])<=L[1]); + kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (<span class="flyspell-duplicate">evalf</span>(S[j])<=L[1]); if(kk==1){if(kok==1){z:=append(z,simplifier(S[j]))}}; fpour; -<span class="flyspell-duplicate">fsi</span>; +fsi; S:=NULL; @@ -1311,7 +1115,7 @@ Z:=[S]; nz:=size(Z); -l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" "; +l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" "; @@ -1322,173 +1126,116 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){LP:=LP,if(member(Z[r],F)){limite(f(x),x,Z if(nz>2){ LL:=[LI,LP,LF]}else{LL:=[LI,LF]}; NL:=size(LL); -A:=NULL;aa:=1;kk:=0; +A:=NULL;aa:=1;<span class="flyspell-duplicate">kk</span>:=0; if(NL==nz){for(k:=0;k<nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0); if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}} -l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"}; +l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"}; if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0); TestL:=(abs(LL[k])==abs(LL[k+1])); if(TestS==0){ if( TestL==1 ){l0:=l0}else{ -A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}} -l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex); +A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> <span class="flyspell-duplicate">etex</span>);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}} +l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>); "}; TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1)); - kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1)); + kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1)); -lsi:=" +<span class="flyspell-duplicate">lsi</span>:=" newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ - if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ + if(fp(Z[0])==0){"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"}else{" "}+ if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(<span class="flyspell-duplicate">sign</span>(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "}; -if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); +if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r]-<span class="flyspell-duplicate">ao</span>))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); ksp:=evalf(fp(Z[r]+0.01))>0; TestL:=(abs(LL[r])==abs(LL[r+1])); - lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ + lsp:=lsp+if(member(Z[r],F)==0){"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "}; }} -else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); +<span class="flyspell-duplicate">else</span>{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0); TestL:=(abs(LL[r])==abs(LL[r+1])); - if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} - } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ - if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ + if(kspp==1){"plus;"}else{"moins;"}+"valBarre(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} + } else{lsp:=lsp+if(member(Z[rr],F)==0){"<span class="flyspell-duplicate">valBarre</span>(btex 0 etex);"}else{"nonDefBarre;"}+ + if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;} }} }; lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"} -lm0:=limite(f(x),x=Z[0],1)==-infinity; +<span class="flyspell-duplicate">lm</span>0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>; -TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); +TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-<span class="flyspell-duplicate">ao</span>))==0.0) or (sign(evalf(LL[1]-ao))==0.0); li:=" -newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex); +<span class="flyspell-duplicate">newLigneVariations</span>(btex <span class="font-latex-math">$\\hbox{ Variations de}\\atop{\\displaystyle {"+nom+"}}$</span> etex); "+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"} - else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+ - if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "}; + else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+ + if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);"}<span class="flyspell-duplicate">else</span>{" "}; - if(nz>2){if(nz==NL){for(r:=1; r<=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); + if(nz>2){if(nz==NL){for(r:=1; r<=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(<span class="flyspell-duplicate">evalf</span>(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0); krm:=evalf(limite(f(x),x=Z[r-1],1))< evalf(limite(f(x),x=Z[r],-1)); krp:=evalf(limite(f(x),x=Z[r],1))> evalf(limite(f(x),x=Z[r+1],-1)) ; - lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity; + lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>; lp:=lp+if(member(Z[r],F)) { - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} + "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span> - etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(btex - <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);" - }else{" "}; + etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"<span class="flyspell-duplicate">valPos</span>(<span class="flyspell-duplicate">btex</span> + <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);" + }<span class="flyspell-duplicate">else</span>{" "}; };//for }else{rr:=1;for(r:=1; r<=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); - krm:=evalf(limite(f(x),x=Z[rr-1],1))< evalf(limite(f(x),x=Z[rr],-1)); - krp:=evalf(limite(f(x),x=Z[rr],1))> evalf(limite(f(x),x=Z[rr+1],-1)) ; + krm:=evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>-1],1))< evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],-1)); + krp:=evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],1))> evalf(limite(f(x),x=Z[rr+1],-1)) ; lmrm:=limite(f(x),x=Z[rr],-1)==-infinity;lmrp:=limite(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1])); if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) { - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} + "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span> - etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex + etex,"+if(sign(evalf(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$ "+ao+" $</span> etex,0.5); - ";rr:=rr+1; + ";rr:=<span class="flyspell-duplicate">rr</span>+1; }// else testL==1 }//testS==0 -else{lp:=lp+if(member(Z[rr],F)){ - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} +<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){ + "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span> etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0); - "}}};rr:=rr+1; + "}}};rr:=<span class="flyspell-duplicate">rr</span>+1; }//else testS==0 -}//for nz<NL -}// else nz<NL +}//for nz<<span class="flyspell-duplicate">NL</span> +}// else nz<<span class="flyspell-duplicate">NL</span> //if nz=NL -};//if nz>2 +};//if <span class="flyspell-duplicate">nz</span>>2 -lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; - lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+ - if(kz==1){"1);"}else{"0);"}; +lnz:=limite(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; + lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+ + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}; -intro:=" -input tableauVariation; -verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - -"; - - -MetaL:= if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -<span class="flyspell-duplicate">lsi</span>+lsf+" -endTableau; -end"; -} -}else{ -if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}}; - -MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+ +MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+lsi+lsp+lsf+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; -";}<span class="flyspell-duplicate">else</span>{ +";}else{ "beginTableau("+nmr+")"+ l0+ -lsi+lsf+" -endTableau; +<span class="flyspell-duplicate">lsi</span>+lsf+" +<span class="flyspell-duplicate">endTableau</span>; "; } @@ -1496,30 +1243,30 @@ endTableau; if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ l0+ li+ -lp+ +<span class="flyspell-duplicate">lp</span>+ lf +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; -";}else{"beginTableau("+nmr+")"+ +";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ l0+ li+ -lf +<span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ l0+ lsi+lsp+lsf+ li+ lp+ -lf +<span class="flyspell-duplicate">lf</span> +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{"beginTableau("+nmr+")"+ l0+ -lsi+lsf+ +<span class="flyspell-duplicate">lsi</span>+lsf+ li+ lf +" @@ -1531,11 +1278,10 @@ lf sortie:=fopen("XCasmpfc.mp"); -fprint(sortie,Unquoted,MetaLfc); -fclose(sortie); +<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc); +<span class="flyspell-duplicate">fclose</span>(sortie); -return(MetaL); }:; @@ -1561,13 +1307,13 @@ return(MetaL); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{XcasTabSignL.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.<span class="flyspell-duplicate">cxx</span>} TS(L,D,nmr):={ L:=apply(f->unapply(f,x),L) n:=size(L); -Z:=NULL; +Z:=<span class="flyspell-duplicate">NULL</span>; mini:=D[0]; maxi:=D[1]; @@ -1577,82 +1323,57 @@ pour k de 0 jusque n-1 faire if(S[j]>mini and S[j]<maxi){Z:=Z,simplifier(S[j]);} fpour; fsi; -fpour; +<span class="flyspell-duplicate">fpour</span>; Z:=sort(Z); 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; fsi; -fpour;}; -nz:=size(Z); +<span class="flyspell-duplicate">fpour</span>;}; +<span class="flyspell-duplicate">nz</span>:=size(Z); if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+ +newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ if(mini!=-infinity and L[p](mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ -if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){" - valBarre(btex 0 etex);"}else{" +if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](<span class="flyspell-duplicate">maxi</span>)==0){" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "} } lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)>0){"plus;"}else{"moins;"}; -MetaL:=" input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; -beginTableau("+nmr+") -<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +<span class="flyspell-duplicate">MetaLfc</span>:=" beginTableau("+nmr+") +<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$ {x}$</span> etex); "+l0+li+ " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+ + newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe du }\\atop{{\\displaystyle produit}}$</span> <span class="flyspell-duplicate">etex</span>);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+ lf+ if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+" -endTableau; -end" -; - - -MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); - "+l0+li+ - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+ - if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+ lf+ - if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; " ; -}else{ +}<span class="flyspell-duplicate">else</span>{ l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" "; pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); ";fpour; -l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; +l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);"; for(p:=0;p<=n-1;p++){lp:=""; li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+ +newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+ if(mini!=-infinity and L[p](mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(L[p](Z[0]-0.01)>0){"plus;"}else{"moins;"}; @@ -1662,55 +1383,27 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f "}+ if(L[p]((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}}; - li:=li+lp+ if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+ + li:=li+lp+ if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}else{"barre;"}+ if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins; "}+if(maxi!=+infinity and L[p](maxi)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "} }; pour t de 0 jusque nz-2 faire lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);" - fpour + <span class="flyspell-duplicate">fpour</span> -MetaL:=" input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +<span class="flyspell-duplicate">MetaLfc</span>:=" beginTableau("+nmr+") +newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); "+l0+ li + " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> <span class="flyspell-duplicate">etex</span>);"+ + newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe du }\\atop{{\\displaystyle \</span><span class="type"><span class="font-latex-math">\rm</span></span><span class="font-latex-math"> produit}}$</span> <span class="flyspell-duplicate">etex</span>);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+ - if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+ - lr+ - if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+" -endTableau; -end" -; -MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); - "+l0+ - li - + - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+ - if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+ lr+ @@ -1718,14 +1411,14 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(<span class="flyspell-duplicate">MetaL</span>); + }:; <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1739,7 +1432,7 @@ return(<span class="flyspell-duplicate">MetaL</span>); </span> -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{<span class="flyspell-duplicate">XcasTabSignQ</span>.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.cxx} <span class="flyspell-duplicate">TSq</span>(nomf,L,Fo,D,nmr):={ L:=apply(f->unapply(f,x),L); Fo:=apply(f->unapply(f,x),Fo); @@ -1755,7 +1448,7 @@ pour k de 0 jusque n-1 faire S:=resoudre(L[k](x),x); si size(S)>0 alors pour j de 0 jusque size(S)-1 faire if(S[j]>mini and S[j]<maxi){Z:=Z,simplifier(S[j]);} - fpour; + <span class="flyspell-duplicate">fpour</span>; fsi; <span class="flyspell-duplicate">fpour</span>; @@ -1772,73 +1465,48 @@ pour k de 0 jusque m-1 faire Z:=sort(Z); // on classe les zéros dans l'ordre croissant -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=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 fsi; -fpour;} +<span class="flyspell-duplicate">fpour</span>;} Z:=sort(Z); -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=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; fsi; -fpour;}; -nz:=size(Z); +<span class="flyspell-duplicate">fpour</span>;}; +<span class="flyspell-duplicate">nz</span>:=size(Z); if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ if(mini!=-infinity and L[p](mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ -if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){" +if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](<span class="flyspell-duplicate">maxi</span>)==0){" valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "} } lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)>0){"plus;"}else{"moins;"}; -MetaL:=" input <span class="flyspell-duplicate">tableauVariation</span>; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; -beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); - "+l0+li+ - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de "+nomf+"(x)}}$</span> etex);"+ - if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" - "}}else{"nonDefBarre;"}+ lf+ - if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}}else{"nonDefBarre;"}+" -endTableau; -<span class="flyspell-duplicate">end</span>" -; - - -<span class="flyspell-duplicate">MetaLfc</span>:=" +MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$ {x}$</span> <span class="flyspell-duplicate">etex</span>); "+l0+li+ " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de "+nomf+"(x)}}$</span> <span class="flyspell-duplicate">etex</span>);"+ + newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe }\\atop{{\\displaystyle de "+nomf+"(x)}}$</span> etex);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" - "}}else{"nonDefBarre;"}+ lf+ - if(member(maxi,FF)==0){if(maxi!=+infinity and <span class="flyspell-duplicate">product</span>(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" + "}}else{"nonDefBarre;"}+ <span class="flyspell-duplicate">lf</span>+ + if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}}else{"nonDefBarre;"}+" <span class="flyspell-duplicate">endTableau</span>; @@ -1848,20 +1516,20 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex -}<span class="flyspell-duplicate">else</span>{ +}else{ l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" "; pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); ";fpour; -l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);"; +l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; -for(p:=0;p<=n-1;p++){lp:=""; +for(p:=0;p<=n-1;p++){<span class="flyspell-duplicate">lp</span>:=""; li:=li+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+ +newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$</span> etex);"+ if(mini!=-infinity and L[p](mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(L[p](Z[0]-0.01)>0){"plus;"}else{"moins;"}; @@ -1881,49 +1549,20 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f pour t de 0 jusque nz-2 faire lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"} + if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "<span class="flyspell-duplicate">nonDefBarre</span>;"} <span class="flyspell-duplicate">fpour</span> -MetaL:=" input tableauVariation; -<span class="flyspell-duplicate">verbatimtex</span> -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); - "+l0+ - li - + - " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de}\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> "+nomf+"(x)}}$</span> etex);"+ - if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ - if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+ - lr+ - if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}+ - if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+" -endTableau; -<span class="flyspell-duplicate">end</span>" -; - -<span class="flyspell-duplicate">MetaLfc</span>:=" -beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +MetaLfc:=" +<span class="flyspell-duplicate">beginTableau</span>("+nmr+") +<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$ {x}$</span> etex); "+l0+ li + " - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de}\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> "+nomf+"(x)}}$</span> etex);"+ + newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de}\\atop{{\\displaystyle "+nomf+"(x)}}$</span> <span class="flyspell-duplicate">etex</span>);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+ @@ -1944,14 +1583,13 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex sortie:=fopen("XCasmpfc.mp"); -fprint(sortie,Unquoted,MetaLfc); +<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc); fclose(sortie); -return(<span class="flyspell-duplicate">MetaL</span>); }:; <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -1966,53 +1604,52 @@ return(<span class="flyspell-duplicate">MetaL</span>); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?WW]{XcasTabSign.cxx} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTabSigna</span>.cxx} TSa(a,b,c,d,nmr):={ zA:=resoudre(a*x+b=0,x)[0]; zB:=resoudre(c*x+d=0,x)[0]; -<span class="flyspell-duplicate">zmin</span>:=min(zA,zB); -zmax:=max(zA,zB); - Meta:= " input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; - beginTableau("+nmr+") - newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +zmin:=min(zA,zB); +<span class="flyspell-duplicate">zmax</span>:=max(zA,<span class="flyspell-duplicate">zB</span>); + <span class="flyspell-duplicate">Meta</span>:= " + beginTableau("+<span class="flyspell-duplicate">nmr</span>+") + newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex); val(btex <span class="font-latex-math">$"+latex(zmax)+"$</span>etex); -val(btex <span class="font-latex-math">$+\\infty$</span> etex); - newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$</span> etex);" +val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>); + newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$</span> <span class="flyspell-duplicate">etex</span>);" + if(a>0){"moins;"}else{"plus;"}+ if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+ - if(zmin==zA){si a>0 alors "plus;"; sinon "moins;";fsi} + if(zmin==zA){si a>0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>} else{si a>0 alors "moins;"; sinon "plus;"; fsi}+ - if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+ + if(zmin==zA){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+ if(a>0){"plus;"}else{"moins;"} +" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);" +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);" + if(c>0){"moins"}else{"plus"}+";"+ if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+ - if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi} + if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>} else{si c>0 alors "moins;"; sinon "plus;"; fsi}+ - if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+ + if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+ if(c>0){"plus;"}else{"moins;"} +" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$</span> etex);" - + si a*c>0 alors plus; sinon moins;fsi+";"+ - "valBarre(btex 0 etex);"+ +newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$</span> <span class="flyspell-duplicate">etex</span>);" + + si a*c>0 alors plus; sinon moins;<span class="flyspell-duplicate">fsi</span>+";"+ + "valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"+ si a*c>0 alors moins; sinon plus;fsi+";"+ "valBarre(btex 0 etex);"+ si a*c>0 alors plus; sinon moins;fsi+";"+" -endTableau; -end" +<span class="flyspell-duplicate">endTableau</span>; +" ; -return(Meta); + + + +sortie:=fopen("XCasmpfc.<span class="flyspell-duplicate">mp</span>"); +<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,<span class="flyspell-duplicate">Meta</span>); +<span class="flyspell-duplicate">fclose</span>(sortie); + + }:; <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2028,8 +1665,8 @@ return(Meta); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?<span class="flyspell-duplicate">WW</span>]{XcasTSc.cxx} -TSc(g,D,nmr):={ +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTSc.cxx} +<span class="flyspell-duplicate">TSc</span>(g,D,nmr):={ f:=unapply(g,x); Z:=NULL; mini:=D[0]; maxi:=D[1];lm:=" "; @@ -2037,24 +1674,24 @@ S:=resoudre(f(x),x); if(size(S)==0){ l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; li:=if(mini!=-infinity and f(mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+ if(mini!=-infinity or maxi!=+infinity){if(f((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}}else{if(f(0)>0){"plus;"}else{"moins;"}}; -lf:=if(maxi!=+infinity and f(maxi)==0){" - valBarre(btex 0 etex);"}else{" +<span class="flyspell-duplicate">lf</span>:=if(maxi!=+infinity and f(maxi)==0){" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}; } -else{pour j de 0 jusque size(S)-1 faire +<span class="flyspell-duplicate">else</span>{pour j de 0 jusque size(S)-1 faire if(S[j]>mini and S[j]<maxi){Z:=Z,simplifier(S[j])}; fpour; Z:=sort(Z); -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=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; fsi; -fpour;} +<span class="flyspell-duplicate">fpour</span>;} <span class="flyspell-duplicate">nz</span>:=size(Z); @@ -2080,41 +1717,23 @@ li:= if(mini!=-infinity and f(mini)==0){" "}+ if(f(Z[0]-0.01)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"; -lm:=if(nz>=2){for(r:=0; r<=nz-2;r++){lm:=lm+if(f((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}+ - "valBarre(btex 0 etex);" - }}else{" "}; +<span class="flyspell-duplicate">lm</span>:=if(nz>=2){for(r:=0; r<=nz-2;r++){lm:=lm+if(f((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}+ + "valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);" + }}<span class="flyspell-duplicate">else</span>{" "}; -<span class="flyspell-duplicate">lf</span>:=if(f(Z[nz-1]+1.0)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{" +<span class="flyspell-duplicate">lf</span>:=if(f(Z[nz-1]+1.0)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}; }}; -<span class="flyspell-duplicate">MetaL</span>:=" input tableauVariation; - verbatimtex -<span class="comment-delimiter">%</span><span class="comment">&latex -</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span> - <span class="font-latex-warning">\\</span>?fonte - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span> - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>} - <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span> - etex; -beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); - "+l0+" -<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$</span> etex);"+ - li+lm+lf - +" -endTableau; -<span class="flyspell-duplicate">end</span>" -; -MetaLfc:=" +<span class="flyspell-duplicate">MetaLfc</span>:=" -<span class="flyspell-duplicate">beginTableau</span>("+nmr+") -<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex); +beginTableau("+nmr+") +newLigneVariables(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$\\displaystyle {x}$</span> <span class="flyspell-duplicate">etex</span>); "+l0+" -newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$</span> etex);"+ +<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(f(x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+ li+lm+lf +" <span class="flyspell-duplicate">endTableau</span>; @@ -2127,12 +1746,10 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); -fclose(sortie); - +<span class="flyspell-duplicate">fclose</span>(sortie); -return(MetaL); }:; <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2155,22 +1772,26 @@ return(MetaL); <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">\executGiacmp</span>{XCas#1.giac}<span class="comment">% reconstituer le tableau -</span> <span class="comment">% exporter le source mp +</span> <span class="comment">% exporter le source </span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment"> </span> <span class="comment">% puis lancer metapost pour créer </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.<span class="flyspell-duplicate">mp</span>} - <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode -jobname=<span class="font-latex-sedate">\Tableaux</span>.Tab XCasmp#1}}<span class="comment">% +</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.<span class="flyspell-duplicate">mp</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#1.mp} + <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.<span class="flyspell-duplicate">mp</span>} + <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode -jobname=<span class="font-latex-sedate">\Tableaux</span>.<span class="flyspell-duplicate">Tab</span> <span class="font-latex-sedate">\Tableaux</span>.<span class="flyspell-duplicate">Tab</span>#1} + <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.<span class="flyspell-duplicate">mp</span>} }<span class="comment">% </span> {<span class="comment">% sinon, si le tableau est absent, alerte. </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">% </span> <span class="font-latex-sedate">\PackageError</span>{tablor}{Tableau absent non reconstituable.}{Pour compiler il faut, soit les fichiers de tableaux, soit le fichier <span class="font-latex-sedate">\Tableaux</span>.Tab.mp, soit disposer de - XCas.}}} + <span class="flyspell-duplicate">XCas</span>.}}} <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="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}} <span class="comment-delimiter">%%</span><span class="comment"> @@ -2183,7 +1804,7 @@ return(MetaL); <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">\dressetoile</span></span><span class="function-name">}</span>[1]{<span class="comment">% </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><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.<span class="flyspell-duplicate">mp</span>}} <span class="comment-delimiter">% </span><span class="comment">Si non, lancement des opérations 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.<span class="flyspell-duplicate">mp</span>} @@ -2192,7 +1813,7 @@ return(MetaL); </span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> -f 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 ultérieure dans Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment">. </span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}} <span class="comment">% Inclusion du </span> <span class="comment">% source dans le </span> <span class="comment">% fichier @@ -2204,7 +1825,7 @@ return(MetaL); </span> <span class="comment">% fichier </span> <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 </span><span class="comment"><span class="flyspell-duplicate">TVn</span></span><span class="comment"> @@ -2228,25 +1849,16 @@ return(MetaL); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCas.giac} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasa</span>.giac} maple_mode(0); -read("XcasTabSign.cxx"); -Sortie:=fopen("XCasmp.mp"); -vect.xcas.user := read("XCas.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -<span class="flyspell-duplicate">Resultat</span>:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("<span class="flyspell-incorrect">XcasTabSigna</span>.cxx"); +<span class="flyspell-duplicate">read</span>("<span class="flyspell-incorrect">XCasa</span>.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">{</span><span class="function-name"><span class="flyspell-duplicate">TSa</span></span><span class="function-name">}</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>WW]{XCas.user}} +{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[<span class="flyspell-duplicate">commandchars</span>=<span class="font-latex-warning">\\</span>??]{<span class="flyspell-duplicate">XCasa</span>.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> - <span class="font-latex-sedate">\dresse</span>{} + <span class="font-latex-sedate">\dresse</span>{a} } @@ -2257,23 +1869,14 @@ fclose(Sortie); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasQ</span>.giac} -maple_mode(0); -read("<span class="flyspell-duplicate">XcasTabSignQ</span>.cxx"); -Sortie:=fopen("<span class="flyspell-incorrect">XCasmpQ</span>.mp"); -vect.xcas.user := read("<span class="flyspell-duplicate">XCasQ</span>.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasQ.giac} +<span class="flyspell-duplicate">maple</span>_mode(0); +read("XcasTabSignQ.cxx"); +<span class="flyspell-duplicate">read</span>("XCasQ.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">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">}</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>WW]{<span class="flyspell-duplicate">XCasQ</span>.user}} +</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>??]{XCasQ.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{Q}} @@ -2281,50 +1884,32 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">*}</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>WW]{<span class="flyspell-duplicate">XCasQ</span>.user}} +<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>??]{XCasQ.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{Q}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasL.giac} -maple_mode(0); +<span class="flyspell-duplicate">maple</span>_mode(0); read("XcasTabSignL.cxx"); -Sortie:=fopen("XCasmpL.mp"); -vect.xcas.user := read("XCasL.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasL.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">{TS}</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>WW]{XCasL.user}} +</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>??]{XCasL.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{L}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TS*}</span>[1] +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TS</span></span><span class="function-name">*}</span>[1] {<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>WW]{XCasL.user}} +<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>??]{XCasL.user}} {<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{L}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTSc.giac} maple_mode(0); read("XcasTSc.cxx"); -Sortie:=fopen("XCasmpTSc.mp"); -vect.xcas.user := read("XCasTSc.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTSc.user"); <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -2332,41 +1917,32 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc*}</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>WW]{XCasTSc.user}} -{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TSc}} +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> +<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTSc.user}} +{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TSc</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc}</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>WW]{XCasTSc.user}} -{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TSc}} +</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>??]{XCasTSc.user}} +{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TSc</span>}} <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTV.giac} maple_mode(0); read("XcasTV.cxx"); -Sortie:=fopen("XCasmpTV.mp"); -vect.xcas.user := read("XCasTV.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTV.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">{TV}</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>WW]{XCasTV.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TV</span></span><span class="function-name">}</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>??]{XCasTV.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>{TV}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV*}</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">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> -<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>WW]{XCasTV.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>{TV}} +<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>??]{XCasTV.user}}<span class="comment">% +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TV</span>}} @@ -2381,27 +1957,18 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac} maple_mode(0); read("XcasTVZ.cxx"); -Sortie:=fopen("XCasmpTVZ.mp"); -vect.xcas.user := read("XCasTVZ.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTVZ.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">{TVZ}</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>WW]{XCasTVZ.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVZ</span></span><span class="function-name">}</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>??]{XCasTVZ.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>{TVZ}} -<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVZ*}</span>[1]{<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVZ</span></span><span class="function-name">*}</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>WW]{XCasTVZ.user}}<span class="comment">% +<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>??]{XCasTVZ.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVZ</span>}} @@ -2414,29 +1981,20 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVapp.giac} -<span class="flyspell-duplicate">maple</span>_mode(0); +maple_mode(0); read("XcasTVapp.cxx"); -Sortie:=fopen("XCasmpTVapp.mp"); -vect.xcas.user := read("XCasTVapp.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTVapp.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">{TVapp}</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>WW]{XCasTVapp.user}}<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>??]{XCasTVapp.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>{<span class="flyspell-duplicate">TVapp</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVapp*}</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>WW]{XCasTVapp.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> +<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVapp.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVapp</span>}} @@ -2452,27 +2010,18 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVI.giac} <span class="flyspell-duplicate">maple</span>_mode(0); read("XcasTVI.cxx"); -Sortie:=fopen("XCasmpTVI.mp"); -vect.xcas.user := read("XCasTVI.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTVI.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">{TVI}</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>WW]{XCasTVI.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVI</span></span><span class="function-name">}</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>??]{XCasTVI.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVI</span>}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI*}</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>WW]{XCasTVI.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span> +<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVI.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVI</span>}} @@ -2483,28 +2032,19 @@ fclose(Sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIapp.giac} maple_mode(0); read("XcasTVIapp.cxx"); -Sortie:=fopen("XCasmpTVIapp.mp"); -vect.xcas.user := read("XCasTVIapp.user"); -vxo := vect.xcas.user; -<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(<span class="flyspell-duplicate">rslt</span>); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +<span class="flyspell-duplicate">read</span>("XCasTVIapp.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">{TVIapp}</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>WW]{XCasTVIapp.user}}<span class="comment">% +<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVIapp</span></span><span class="function-name">}</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>??]{XCasTVIapp.user}}<span class="comment">% </span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TVIapp}} <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIapp*}</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>WW]{XCasTVIapp.user}}<span class="comment">% -</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVIapp}} +<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIapp.user}}<span class="comment">% +</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVIapp</span>}} @@ -2513,7 +2053,7 @@ fclose(Sortie); <span class="comment-delimiter">%%</span><span class="comment"> -</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -> enjoy :) +</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -> </span><span class="comment"><span class="flyspell-incorrect">enjoy</span></span><span class="comment"> :) </span></pre> </body> </html> diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf Binary files differindex 58e9301be17..c954c0bf881 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 5c8db7e2e25..a4dbb6d4a82 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.tex +++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex @@ -2,7 +2,7 @@ \usepackage[height=250mm,width=183mm]{geometry} \usepackage[T1]{fontenc} \usepackage[french]{babel} - +\usepackage[upright]{fourier} \usepackage[xcas]{tablor} \usepackage{listings,keystroke} \usepackage{graphicx,bclogo} @@ -16,16 +16,22 @@ %dans la table des matieres \addtolength{\cftsecnumwidth}{2em} +\addtolength{\cftsubsecnumwidth}{1em} +% pour une TdM hyperactive... +\usepackage[dvips,colorlinks=true,linkcolor=0.2white]{hyperref} +% quelques gris -\usepackage[dvips,colorlinks=true,linkcolor=0.2white]{hyperref} \usepackage{color} \definecolor{0.9white}{rgb}{.9,.9,.9} \definecolor{0.8white}{rgb}{.8,.8,.8} \definecolor{0.2white}{rgb}{.2,.2,.2} \definecolor{0.4white}{rgb}{.4,.4,.4} \definecolor{0.6white}{rgb}{.6,.6,.6} + +% style des listings + \newcommand{\lat}{ \lstset{numbers=none,language=[LaTeX]{TeX},xleftmargin=10pt,% keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,commentstyle=\normalfont\scriptsize\slshape, @@ -38,6 +44,8 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com } +% petits environnements bclogo + \newenvironment{DANGER}[1]{% \begin{bclogo}{\attention}{#1}{0.9white}{0.1}} {\end{bclogo}} @@ -48,7 +56,7 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com -% sections +% style des sections \usepackage{sectsty} @@ -81,17 +89,35 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com \hfill\makebox[1cm][s]{\ding{114} \hfill\ding{114}}}}} - +% titre \title{\texttt{tablor.sty} \\La machine crer des tableaux de signes et de variations } \author{Guillaume \textsc{Connan} \\ \href{http://gconnan.free.fr}{http://gconnan.free.fr}\\ avec l'efficace participation de Jean-Michel \textsc{Boucart}} -\date{14 mai 2008 - Version 2.05} +\date{16 mai 2008 - Version 2.06} + + + + + + + + +%% +% +% Dbut du document +% +%% + + + \begin{document} +\setlength{\parindent}{0mm} + \maketitle \initablor @@ -122,24 +148,72 @@ courant puis effacs par la commande \texttt{nettoyer} si vous le souhaitez~: session \texttt{XCAS} ou \texttt{giac}. \item des fichiers d'extension \texttt{.giac} qui regroupent des instructions lues et excutes par \texttt{giac}. -Les lignes importantes sont~: +Il est trs court~: \xcas \begin{lstlisting} +maple_mode(0); // au cas o certains travailleraient en mode maple, mupad ou ti read("XcasTV.cxx"); // giac charge le programme -Sortie:=fopen("XCasmpTV.mp"); // la sortie portera l'extension metapost -vect.xcas.user := read("XCasTV.user"); // giac lit les paramtres rentrs dans le fichier tex +read("XCasTV.user"); // giac lit les paramtres rentrs dans le source +tex et fabrique la vole le source MetaPOST. \end{lstlisting} \item des fichiers d'extension \texttt{.user} qui sont crs par \LaTeX{} grce l'environnement \texttt{VerbatimOut} de l'extension \texttt{fancyvrb} : il s'agit en fait de la commande qui se - trouve par exemple entre \verb+\begin{TVI}+ et \verb+\end{TVI}+. + trouve par exemple entre \verb+\begin{TV}+ et \verb+\end{TV}+. + \end{itemize} +\subsection{Code XCAS} + +Toutes les procdures suivent le mme principe~: + +\begin{itemize} +\item la plus grande partie s'occupe de crer les lignes du tableaux + l'aide de nombreux tests et boucles; +\item ensuite, on regroupe ces lignes dans une variable + \texttt{MetaLfc}; + +\item on exporte le tableau l'aide des trois dernires lignes~: + +\xcas + +\begin{lstlisting} +sortie:=fopen("XCasmpfc.mp"); // on cre un fichier XCasmpfc.mp +fprint(sortie,Unquoted,MetaLfc); // on y met MetaLfc +fclose(sortie); // on ferme XCasmpfc.mp +\end{lstlisting} + + + + +\lat +\end{itemize} + + + + +\begin{figure} + \begin{Idee}{Autres collaborations XCAS/\LaTeX{}} +On peut suivre ce mme principe pour crer d'autres associations de +vos outils prfrs. Voir par exemple~: + +\href{http://gconnan.free.fr/?page=53}{http://gconnan.free.fr/?page=53} + +et + +\href{http://melusine.eu.org/syracuse/giac/}{http://melusine.eu.org/syracuse/giac/} + \end{Idee} + \end{figure} + + + + + \section{De quoi a-t-on besoin~?} \begin{itemize} @@ -166,7 +240,8 @@ pour installer une nouvelle extension \LaTeX{}. la commande de compilation. Sinon, on peut modifier le fichier \texttt{texmf.cnf} pour que le mode soit automatis en modifiant la ligne suivante~:~\texttt{shell-escape t}; -\item il faut avoir disposition l'extension \texttt{fancyvrb}; +\item il faut avoir disposition les extensions \texttt{fancyvrb}, + \texttt{filecontents}, \texttt{ifthen} et \texttt{ifpdf}; \item pour ceux qui compilent avec \texttt{pdf\LaTeX{}}, il n'y a aucun problme et rien faire car \texttt{tablor} contient dj ce qu'il faut pour s'adapter~: @@ -180,12 +255,15 @@ pour installer une nouvelle extension \LaTeX{}. \href{http://gconnan.free.fr/?page=52}{http://gconnan.free.fr/?page=52} +\item il faut installer les fichiers de configuration + \texttt{tablor.cfg} et \texttt{entateMP.cfg} dans le mme + rpertoire de \texttt{tablor.sty} \end{itemize} - +\begin{figure} \begin{Idee}{shell-escape} Pour les utilisateurs de TeXnicCenter, observez cette @@ -204,7 +282,7 @@ Le sparateur est le point virgule. (Merci Gatan et Daniel). \end{Idee} - + \end{figure} \begin{figure} \begin{DANGER}{Conflit d'extensions} @@ -214,14 +292,14 @@ Le sparateur est le point virgule. \end{figure} -\begin{figure} + \begin{DANGER}{Commandes cres} Huit nouvelles commandes sont cres~:~\verb+\tv, \tvbis, \nettoyer, \initablor, \Tableaux,+ \verb+ \dresse, \dressetoile, \executGiacmp+. Attention aux conflits si de tels noms existent quelque part dans vos fichiers personnels. \end{DANGER} - \end{figure} + @@ -233,15 +311,7 @@ Le sparateur est le point virgule. % %\end{DANGER} % \end{figure} - -\begin{figure} - \begin{DANGER}{La lettre W} - L'option \texttt{commandchars} de \texttt{fancyvrb} utilise la lettre W qui devient - ainsi ~protge~ et par suite inutilisable pour nommer une fonction. Tout autre - caractre hors alphabet posait soit des problmes d'encodage, soit tait utilis par XCAS... - \end{DANGER} - \end{figure} - +\pagebreak \section{Comment l'utiliser~?} @@ -257,8 +327,8 @@ Le prambule sera toujours~: \begin{lstlisting} \documentclass{article} \usepackage{graphicx} -\usepackage[french]{babel} -\usepackage[xcas]{tablor} % option modifiable +\usepackage[french]{babel} % or eunozer langouage +\usepackage[xcas]{tablor} % xcas en option : cf plus loin \end{lstlisting} @@ -279,13 +349,13 @@ Le prambule sera toujours~: On met \texttt{xcas} si l'on a install \texttt{giac/XCAS} sur son - ordinateur et on ne met rien si \texttt{giac/XCAS} n'est pas install et qu'on a rcupr un + ordinateur et on ne met rien si \texttt{giac/XCAS} n'est pas + install ou (et) que l'on a rcupr un fichier \texttt{tex} avec les fichiers sources \texttt{MetaPOST}; Ainsi, \texttt{tablor} ne fera - pas appel \texttt{giac/XCAS} et se contentera de compiler les fichiers \texttt{MetaPOST}; - + pas appel \texttt{giac/XCAS} et se contentera de compiler les fichiers \texttt{MetaPOST}. -\subsection{Fichier \texttt{tablor.cfg}} +\subsection{Fichier de configuration \texttt{tablor.cfg}} \subsubsection*{Contenu} @@ -316,35 +386,62 @@ On met \texttt{xcas} si l'on a install \texttt{giac/XCAS} sur son \newcommand{\editeur}{kile } -% Dclaration des fontes utilises -% ================================ -% -% Remplacez "lmodern" par la fonte qui vous convient pour les maths -% (fourier, mathpazo, etc.) - - -\newcommand{\fonte}{usepackage{lmodern}} - \end{lstlisting} } -\xcas + Vous le placerez dans la mme arborescence que \texttt{tablor.sty} et le modifierez si besoin est. -\subsubsection*{diteur} +\subsubsection*{Rle} L'diteur sera appel dans certains cas pour modifier l'aspect des tableaux dans les fichiers sources \texttt{MetaPOST}. Il faudra choisir un diteur comme par exemple \texttt{emacs, xemacs, texmaker, vi, winshell, notepad, vim, kate, gedit, textmate,texshop}, \texttt{kile}, etc. Voir aussi le paragraphe~\ref{modif}. -\subsubsection*{Fontes} -Les fontes utilises par dfaut sont celles de l'extension \texttt{fourier}. Pour en utiliser -d'autres, remplacez ~[upright]{fourier}~ par la fonte qui vous convient pour les maths -(lmodern, mathpazo, etc.) +Si vous utilisez \texttt{ Microsoft-Windows}, il faudra dcommenter la +ligne spcifie afin que les commandes \texttt{unix} soient remplaces +automatiquement par des commandes \texttt{dos}. + + + + + + +\subsection{Fichier de configuration \texttt{enteteMP.cfg}} + + +\subsubsection*{Contenu} + +\begin{lstlisting} + +input tableauVariation; +verbatimtex +%&latex +\documentclass{article} +\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien ! +\usepackage{amsmath} +\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas +\renewcommand\cdot{ } % idem pour les cdot +\begin{document} +etex + +\end{lstlisting} + + +Ces lignes se trouvent au dbut de \texttt{tablor.sty}, entre les +lignes 20 et 32~:~ vous les modifierez si besoin est. + +\subsubsection*{Rle} + +Il s'agit du prambule \texttt{tex} qui sera utilis par +\texttt{MetaPOST} pour crer les tableaux. La ligne contenant +l'extension des fontes est en particulier optionnelle~:~vous pouvez la +modifier, voire la supprimer selon vos choix de fontes. + \subsection{Initialisation de \texttt{tablor} et prfixe des tableaux}\label{prefix} @@ -393,7 +490,7 @@ ou bien, selon les cas~: \begin{lstlisting} \documentclass{article} \usepackage{graphicx} -\usepackage[french]{babel} +\usepackage[french]{babel} % or eunozer langouage \usepackage[xcas]{tablor} % options modifiables \begin{document} @@ -568,9 +665,9 @@ Voici un exemple comportant plusieurs zones in \begin{center} - \begin{TVZ*}{3001} + \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) -\end{TVZ*} +\end{TVZ} \end{center} @@ -665,9 +762,9 @@ On en dduit le tableau suivant~: -\begin{TVapp*}{201} +\begin{TVapp} TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv) -\end{TVapp*} +\end{TVapp} \subsection{Tableaux de signes} @@ -883,7 +980,7 @@ automatiquement pour m'afficher le tableau voulu~: \begin{center} - \begin{TS*}{106} + \begin{TS*}{105} TS([3*x+2,5*x^2-1],[-50,50],\tv) \end{TS*} \end{center} @@ -909,11 +1006,29 @@ pas install \texttt{XCAS}. Voir le paragraphe~\ref{prefix} pour plus de dtails \item \href{http://www.yvesdelhaye.be/?Generateur-d-interrogations-le}{Yves \textsc{Delhaye}} pour ses ides sur le \texttt{shell-escape} \item \href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{Bernard - \textsc{Parisse}} pour \texttt{XCAS}. + \textsc{Parisse}} pour \texttt{XCAS}; + +\item Jean-Michel \textsc{Boucart} pour ses prcieuses et efficaces + amliorations de la partie \LaTeX{} du code. + \end{itemize} +\section{Erreurs habituelles} + + +Avez-vous rendu possible le \texttt{shell-escape}~? Avez-vous install +toutes les extensions listes en dbut de ce document~? Est-ce que \texttt{XCAS} + est dans votre \texttt{PATH}~? + +La premire chose est d'analyser le fichier \texttt{log}. + +En cas de problme, n'hsitez pas me contacter l'adresse indique +sur mon site en joignant le fichier \texttt{log}. + + + \section{Galerie} Voici quelques exemples de tableaux~: @@ -1187,28 +1302,28 @@ TSc((x-10)*(x+10),[-10,10],\tv) \item Tableau 1 \Rep -\begin{TV*}{1001}M +\begin{TV} TV([-20,20],[],"f","x",3*x^3-5*x^2+2*x-7,0,\tv) -\end{TV*} +\end{TV} \item Tableau 2 \Rep -\begin{TV*}{1002} +\begin{TV} TV([-20,20],[],"f","x",-3*x^3+5*x^2-2*x+7,0,\tv) -\end{TV*} +\end{TV} \item Tableau 3 \Rep -\begin{TSc*}{1003} +\begin{TSc} TSc(-3*x^3+5*x^2-2*x+7,[-20,20],\tv) -\end{TSc*} +\end{TSc} \item Tableau 4 \Rep -\begin{TSc*}{1004} +\begin{TSc} TSc(3*x^3-5*x^2+2*x-7,[-20,20],\tv) -\end{TSc*} +\end{TSc} \end{enumerate} @@ -1254,28 +1369,28 @@ TSc((x-10)*(x+10),[-10,10],\tv) \item Tableau 1 \Rep -\begin{TV*}{102} +\begin{TV} TV([-20,20],[],"f","x",3*x^3-5*x^2+2*x-7,0,\tv) -\end{TV*} +\end{TV} \item Tableau 2 \Rep -\begin{TV*}{103} +\begin{TV} TV([-20,20],[],"f","x",-3*x^3+5*x^2-2*x+7,0,\tv) -\end{TV*} +\end{TV} \item Tableau 3 \Rep -\begin{TSc*}{104} +\begin{TSc} TSc(-3*x^3+5*x^2-2*x+7,[-20,20],\tv) -\end{TSc*} +\end{TSc} \item Tableau 4 \Rep -\begin{TSc*}{105} +\begin{TSc} TSc(3*x^3-5*x^2+2*x-7,[-20,20],\tv) -\end{TSc*} +\end{TSc} \end{enumerate} @@ -1290,16 +1405,16 @@ On considre la fonction $f$ dfinie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x tudions sa drive~: -\begin{TVIapp*}{202} +\begin{TVIapp} TVIapp([-infinity,+infinity],[],"f'","x",diff(1/2*(x+(1-x)*exp(2*x)),x),1,0,\tv) - \end{TVIapp*} + \end{TVIapp} On en dduit le tableau de variation de $f$ -\begin{TVapp*}{203} +\begin{TVapp} TVapp([-infinity,+infinity],[],"f","x",1/2*(x+(1-x)*exp(2*x)),1,\tv) - \end{TVapp*} + \end{TVapp} \end{lstlisting} On considre la fonction $f$ dfinie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x+(1-x){\rm e}^{2x}\bigr)$ @@ -1307,16 +1422,16 @@ On considre la fonction $f$ dfinie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x tudions sa drive~: -\begin{TVIapp*}{202} +\begin{TVIapp} TVIapp([-infinity,+infinity],[],"f'","x",diff(1/2*(x+(1-x)*exp(2*x)),x),1,0,\tv) - \end{TVIapp*} + \end{TVIapp} On en dduit le tableau de variation de $f$ -\begin{TVapp*}{203} +\begin{TVapp} TVapp([-infinity,+infinity],[],"f","x",1/2*(x+(1-x)*exp(2*x)),1,\tv) - \end{TVapp*} + \end{TVapp} diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.cfg b/Master/texmf-dist/tex/latex/tablor/tablor.cfg index 9565de82c81..ddb9ea4080c 100644 --- a/Master/texmf-dist/tex/latex/tablor/tablor.cfg +++ b/Master/texmf-dist/tex/latex/tablor/tablor.cfg @@ -23,13 +23,3 @@ \newcommand{\editeur}{kile } - -% Dclaration des fontes utilises -% ================================ -% -% Remplacez "fourier" par la fonte qui vous convient pour les maths -% (lmodern, mathpazo, etc.) - - -\newcommand{\fonte}{usepackage{fourier}} - diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty index a62c439f72c..27edc93e6b5 100644 --- a/Master/texmf-dist/tex/latex/tablor/tablor.sty +++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty @@ -1,12 +1,55 @@ - \NeedsTeXFormat{LaTeX2e}[1995/12/01] -\ProvidesPackage{tablor}[14/05/2008 v2.05 la machine crer des tableaux de signes et variations] +\ProvidesPackage{tablor}[16/05/2008 v2.06 la machine crer des tableaux de signes et variations] % \copyleft Connan le Barbare \copyright % avec l'efficace participation de Jean-Michel Boucart -%% Cre 16 environnements : + +%%%%% +% +% enteteMP.cfg : configuration de l'entte MetaPOST +% modifier si besoin +% +%%%%% + +\RequirePackage{filecontents} + + + +\begin{filecontents*}{enteteMP.cfg} +input tableauVariation; +verbatimtex +%&latex +\documentclass{article} +\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien ! +\usepackage{amsmath} +\renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas +\renewcommand\cdot{ } % idem pour les cdot +\begin{document} +etex +\end{filecontents*} + + + +%%%%% +% +% FIN de enteteMP.cfg +% +%%%%%% + + + + + + + + + + + + +%% Cre 16 environnements : %% tableau de signes de 2 facteurs affines % \begin{TSa} % TSa(-2,3,-1,5,\tv); @@ -34,25 +77,25 @@ % \end{TVZ} % % -% tableau avec valeurs intermdiares +% tableau avec valeurs intermdiares %\begin{TVI} %TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,\tv) %\end{TVI} %%% -% tableau de variations avec f' sans zro formel +% tableau de variations avec f' sans zro 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 zro formel +% tableau de variations avec f' sans zro formel %\begin{TVIapp} % TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,\tv) % \end{TVIapp} % % %%% -% et leurs pendants toils qui permet l'affichage intermdiaire du +% et leurs pendants toils qui permettent l'affichage intermdiaire du % fichier metapost pour le modifier % % @@ -63,7 +106,7 @@ %% extensions requises -%% Il faudra rajouter dans le prambule \usepackage{graphicx} si vous +%% Il faudra rajouter dans le prambule \usepackage{graphicx} si vous %% ne l'avez pas de base @@ -72,19 +115,29 @@ \RequirePackage{ifpdf} -% option xcas prsent - - -\newboolean{xcas}\setboolean{xcas}{false} -\DeclareOption{xcas}{\setboolean{xcas}{true}} %% Initialisation du choix d'OS \newboolean{windows}\setboolean{windows}{false} -%% on configure tablor dans un fichier extrieur pour la plateforme -%% et l'diteur +%% Dfinit des commandes disque selon l'OS utilis +\ifthenelse{\boolean{windows}}% + {\newcommand{\rem}{DEL } \newcommand{\cat}{TYPE } + \newcommand{\cp}{COPY }}% + {\newcommand{\rem}{rm }\newcommand{\cat}{cat } + \newcommand{\cp}{cp }} + + +% option xcas prsent + + +\newboolean{xcas}\setboolean{xcas}{false} +\DeclareOption{xcas}{\setboolean{xcas}{true}} + + +%% on configure tablor dans un fichier extrieur pour la plateforme +%% et l'diteur \IfFileExists{tablor.cfg}{\input{tablor.cfg}}%\typeout{pas de fichier tablor.cfg}} @@ -103,35 +156,20 @@ -%% En-tte pour le fichier metapost contenant les codes -%% de tous les tableaux produits - - \begin{VerbatimOut}[commandchars=?WW]{tete.mp} - input tableauVariation; - verbatimtex -%&latex - \documentclass{article} - \?fonte - \usepackage{amsmath} - \newcommand{\Mathbold}[1]{\mbox{\boldmath$#1$\unboldmath}} - \begin{document} - etex +%% Pour clore les fichiers metapost - \end{VerbatimOut} +\begin{VerbatimOut}{queue.mp} + +end + \end{VerbatimOut} -%% Nettoie les fichiers log dont le nom dpend du choix de l'utilisateur -%% Par dfaut, c'est le nom du fichier tex courant (\jobname) -%% Clt le fichier metapost contenant le rcapitulatif de tous les tableaux -%% Dfinit des commandes disque selon l'OS utilis -\ifthenelse{\boolean{windows}}% - {\newcommand{\rem}{DEL } \newcommand{\cat}{TYPE } - \newcommand{\cp}{COPY }}% - {\newcommand{\rem}{rm }\newcommand{\cat}{cat } - \newcommand{\cp}{cp }} +%% Nettoie les fichiers log dont le nom dpend du choix de l'utilisateur +%% Par dfaut, c'est le nom du fichier tex courant (\jobname) +%% Clt le fichier metapost contenant le rcapitulatif de tous les tableaux @@ -144,7 +182,7 @@ %% Donne comme prefixe aux tableaux le prefixe courant -%% Peut-tre modifi par \initablor +%% Peut-tre modifi par \initablor \newcommand{\Tableaux}{\jobname} @@ -158,25 +196,25 @@ -%% permet de donner un prefixe aux tableaux produits (\jobname par dfaut) -%% effectue quelques vrifications : +%% permet de donner un prefixe aux tableaux produits (\jobname par dfaut) +%% effectue quelques vrifications : \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 prsent... - {\immediate\write18{\rem \Tableaux.Tab.mp}}% le dtruire +{\IfFileExists{\Tableaux.Tab.mp}% Si Tableaux.mp est prsent... + {\immediate\write18{\rem \Tableaux.Tab.mp}}% le dtruire {}% - \immediate\write18{\cp -f tete.mp \Tableaux.Tab.mp}% Reconstituer l'entte de Tableaux.mp + \immediate\write18{\cp -f enteteMP.cfg \Tableaux.Tab.mp}% Reconstituer l'entte de Tableaux.mp } {\IfFileExists{\Tableaux.Tab.mp}% Sans l'option XCas, si % Tableaux.mp existe -{\immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}}% l'excuter pour reconstituer les figures +{\immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}}% l'excuter 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 tre prsents ) + % peuvent tre prsents ) }}% @@ -207,7 +245,7 @@ %% -\begin{VerbatimOut}[commandchars=?WW]{XcasTV.cxx} +\begin{VerbatimOut}{XcasTV.cxx} TV(L,F,nom,nomv,f,ftt,nmr):={ nl:=size(L); f:=unapply(f,x); @@ -252,7 +290,7 @@ lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; li:=" -newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+ +newLigneVariations(btex $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"} else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -276,64 +314,6 @@ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; "}; -intro:="input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}} - - - MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ @@ -390,7 +370,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; \end{VerbatimOut} @@ -402,7 +381,7 @@ return(MetaL); %% par exemple, pour sqrt(x^2-1) : TVZ([-infinity,100],[],[[-1,1]],"f","x",sqrt(x^2-1),1,1) %% -\begin{VerbatimOut}[commandchars=?WW]{XcasTVZ.cxx} +\begin{VerbatimOut}{XcasTVZ.cxx} TVZ(L,F,FF,nom,nomv,f,ftt,nmr):={ @@ -491,7 +470,7 @@ lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else lm0:=limite(f(x),x=Z[0],1)==-infinity; li:=" -newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+ +newLigneVariations(btex $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"} else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -546,64 +525,6 @@ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; "}; -intro:="input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}} - - - MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ @@ -659,8 +580,6 @@ sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); - -return(MetaL); } :; @@ -675,7 +594,7 @@ return(MetaL); -\begin{VerbatimOut}[commandchars=?WW]{XcasTVapp.cxx} +\begin{VerbatimOut}{XcasTVapp.cxx} @@ -746,7 +665,7 @@ lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre; "} lm0:=limite(f(x),x=Z[0],1)==-infinity; li:=" -newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+ +newLigneVariations(btex $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex);"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"} else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+ if(k0==1){"1"}else{"0"}+ @@ -768,61 +687,6 @@ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; "}; -intro:="input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -" - - -MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end -";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}} @@ -882,7 +746,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; @@ -901,14 +764,14 @@ return(MetaL); %% %% Code giac/Xcas pour les Tableaux de Variations avec -%% Valeurs intermdiaires +%% Valeurs intermdiaires %% -\begin{VerbatimOut}[commandchars=?WW]{XcasTVI.cxx} +\begin{VerbatimOut}{XcasTVI.cxx} TVI(L,F,nom,nomv,f,ftt,ao,nmr):={ @@ -996,7 +859,7 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity; TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); li:=" -newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex); +newLigneVariations(btex $\\hbox{ Variations de }\\atop{\\displaystyle {"+nom+"}}$ etex); "+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"} else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "}; @@ -1043,63 +906,6 @@ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; -intro:=" -input tableauVariation; -verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -"; - - -MetaL:= if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ -if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}}; - MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" @@ -1156,7 +962,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; @@ -1177,7 +982,7 @@ return(MetaL); -\begin{VerbatimOut}[commandchars=?WW]{XcasTVIapp.cxx} +\begin{VerbatimOut}{XcasTVIapp.cxx} TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={ @@ -1286,7 +1091,7 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity; TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0); li:=" -newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex); +newLigneVariations(btex $\\hbox{ Variations de}\\atop{\\displaystyle {"+nom+"}}$ etex); "+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"} else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "}; @@ -1333,63 +1138,6 @@ lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity; -intro:=" -input tableauVariation; -verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -"; - - -MetaL:= if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+lsi+lsp+lsf+" -endTableau; -end";}else{ -intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+" -endTableau; -end"; -} -}else{ -if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -li+ -lf -+" -endTableau; -end";}}else{ -if(nz>2){intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsp+lsf+ -li+ -lp+ -lf -+" -endTableau; -end";}else{intro+"beginTableau("+nmr+")"+ - l0+ -lsi+lsf+ -li+ -lf -+" -endTableau; -end";} -}}; - MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" @@ -1446,7 +1194,6 @@ fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); }:; @@ -1472,7 +1219,7 @@ return(MetaL); -\begin{VerbatimOut}[commandchars=?WW]{XcasTabSignL.cxx} +\begin{VerbatimOut}{XcasTabSignL.cxx} TS(L,D,nmr):={ @@ -1499,7 +1246,7 @@ nz:=size(Z); if(nz==0){li:="";l0:="val(btex $"+latex(D[0])+"$ etex);val(btex $"+latex(D[1])+"$ etex);"; for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+ +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1510,37 +1257,12 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](m } lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)>0){"plus;"}else{"moins;"}; -MetaL:=" input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); - "+l0+li+ - " - newLigneSignes(btex $\\hbox{\\bf Signe du }\\atop{{\\bf produit}}$ etex);"+ - if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+ lf+ - if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+" -endTableau; -end" -; - MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); +newLigneVariables(btex $ {x}$ etex); "+l0+li+ " - newLigneSignes(btex $\\hbox{\\bf Signe du }\\atop{{\\bf produit}}$ etex);"+ + newLigneSignes(btex $\\hbox{ Signe du }\\atop{{\\displaystyle produit}}$ etex);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+ lf+ @@ -1561,7 +1283,7 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);"; for(p:=0;p<=n-1;p++){lp:=""; li:=li+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+ +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1585,41 +1307,13 @@ pour t de 0 jusque nz-2 faire lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);" fpour -MetaL:=" input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); - "+l0+ - li - + - " - newLigneSignes(btex $\\hbox{\\bf Signe du }\\atop{{\\bf produit}}$ etex);"+ - if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+ - if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+ - lr+ - if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}+" -endTableau; -end" -; MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); +newLigneVariables(btex $ {x}$ etex); "+l0+ li + " - newLigneSignes(btex $\\hbox{\\bf Signe du }\\atop{{\\bf produit}}$ etex);"+ + newLigneSignes(btex $\\hbox{ Signe du }\\atop{{\\displaystyle \\rm produit}}$ etex);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1636,7 +1330,7 @@ endTableau; sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); -return(MetaL); + }:; \end{VerbatimOut} @@ -1650,7 +1344,7 @@ return(MetaL); -\begin{VerbatimOut}[commandchars=?WW]{XcasTabSignQ.cxx} +\begin{VerbatimOut}{XcasTabSignQ.cxx} TSq(nomf,L,Fo,D,nmr):={ L:=apply(f->unapply(f,x),L); Fo:=apply(f->unapply(f,x),Fo); @@ -1682,10 +1376,10 @@ fpour; -Z:=sort(Z); // on classe les zros dans l'ordre croissant +Z:=sort(Z); // on classe les zros 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 zros en double + si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les zros en double fsi; fpour;} @@ -1700,7 +1394,7 @@ nz:=size(Z); if(nz==0){li:="";l0:="val(btex $"+latex(D[0])+"$ etex);val(btex $"+latex(D[1])+"$ etex);"; for(p:=0;p<=n-1;p++){li:=li+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+ +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1711,40 +1405,15 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](m } lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)>0){"plus;"}else{"moins;"}; -MetaL:=" input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - -beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); - "+l0+li+ - " - newLigneSignes(btex $\\hbox{\\bf Signe }\\atop{{\\bf de "+nomf+"(x)}}$ etex);"+ - if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}}else{"nonDefBarre;"}+ lf+ - if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}}else{"nonDefBarre;"}+" -endTableau; -end" -; - MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); +newLigneVariables(btex $ {x}$ etex); "+l0+li+ " - newLigneSignes(btex $\\hbox{\\bf Signe }\\atop{{\\bf de "+nomf+"(x)}}$ etex);"+ + newLigneSignes(btex $\\hbox{ Signe }\\atop{{\\displaystyle de "+nomf+"(x)}}$ etex);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ lf+ @@ -1770,7 +1439,7 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);"; for(p:=0;p<=n-1;p++){lp:=""; li:=li+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+ +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(L[p](x))+"}}$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ @@ -1795,46 +1464,17 @@ pour t de 0 jusque nz-2 faire if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"} fpour -MetaL:=" input tableauVariation; -verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; - beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); - "+l0+ - li - + - " - newLigneSignes(btex $\\hbox{\\bf Signe de}\\atop{{\\bf "+nomf+"(x)}}$ etex);"+ - if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" - "}}else{"nonDefBarre;"}+ - if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+ - lr+ - if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){" - valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+" -endTableau; -end" -; - MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); +newLigneVariables(btex $ {x}$ etex); "+l0+ li + " - newLigneSignes(btex $\\hbox{\\bf Signe de}\\atop{{\\bf "+nomf+"(x)}}$ etex);"+ + newLigneSignes(btex $\\hbox{ Signe de}\\atop{{\\displaystyle "+nomf+"(x)}}$ etex);"+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ @@ -1862,7 +1502,6 @@ fclose(sortie); -return(MetaL); }:; \end{VerbatimOut} @@ -1877,27 +1516,19 @@ return(MetaL); -\begin{VerbatimOut}[commandchars=?WW]{XcasTabSign.cxx} +\begin{VerbatimOut}{XcasTabSigna.cxx} TSa(a,b,c,d,nmr):={ zA:=resoudre(a*x+b=0,x)[0]; zB:=resoudre(c*x+d=0,x)[0]; zmin:=min(zA,zB); zmax:=max(zA,zB); - Meta:= " input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; + Meta:= " beginTableau("+nmr+") - newLigneVariables(btex $\\Mathbold{x}$ etex); + newLigneVariables(btex $ {x}$ etex); val(btex $-\\infty$ etex);val(btex $"+latex(zmin)+"$ etex); val(btex $"+latex(zmax)+"$etex); val(btex $+\\infty$ etex); - newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$ etex);" + newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$ etex);" + if(a>0){"moins;"}else{"plus;"}+ if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zA){si a>0 alors "plus;"; sinon "moins;";fsi} @@ -1905,7 +1536,7 @@ val(btex $+\\infty$ etex); if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+ if(a>0){"plus;"}else{"moins;"} +" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);" +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);" + if(c>0){"moins"}else{"plus"}+";"+ if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi} @@ -1914,16 +1545,23 @@ newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if if(c>0){"plus;"}else{"moins;"} +" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);" +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);" + si a*c>0 alors plus; sinon moins;fsi+";"+ "valBarre(btex 0 etex);"+ si a*c>0 alors moins; sinon plus;fsi+";"+ "valBarre(btex 0 etex);"+ si a*c>0 alors plus; sinon moins;fsi+";"+" endTableau; -end" +" ; -return(Meta); + + + +sortie:=fopen("XCasmpfc.mp"); +fprint(sortie,Unquoted,Meta); +fclose(sortie); + + }:; \end{VerbatimOut} @@ -1939,7 +1577,7 @@ return(Meta); -\begin{VerbatimOut}[commandchars=?WW]{XcasTSc.cxx} +\begin{VerbatimOut}{XcasTSc.cxx} TSc(g,D,nmr):={ f:=unapply(g,x); Z:=NULL; @@ -2000,32 +1638,14 @@ lf:=if(f(Z[nz-1]+1.0)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)== }}; -MetaL:=" input tableauVariation; - verbatimtex -%&latex - \\documentclass{article} - \\?fonte - \\usepackage{amsmath} - \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}} - \\begin{document} - etex; -beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); - "+l0+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$ etex);"+ - li+lm+lf - +" -endTableau; -end" -; MetaLfc:=" beginTableau("+nmr+") -newLigneVariables(btex $\\Mathbold{x}$ etex); +newLigneVariables(btex $\\displaystyle {x}$ etex); "+l0+" -newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$ etex);"+ +newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle {"+latex(f(x))+"}}$ etex);"+ li+lm+lf +" endTableau; @@ -2042,8 +1662,6 @@ fclose(sortie); - -return(MetaL); }:; \end{VerbatimOut} @@ -2064,13 +1682,17 @@ return(MetaL); \newcommand{\dresse}[1]{% -\ifthenelse{\boolean{xcas}}{% Avec l'option "XCas prsent" +\ifthenelse{\boolean{xcas}}{% Avec l'option "XCas prsent" \executGiacmp{XCas#1.giac}% reconstituer le tableau % exporter le source mp - % puis lancer metapost pour crer + % puis lancer metapost pour crer % l'image du tableau \immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab.mp} - \immediate\write18{mpost -interaction=batchmode -jobname=\Tableaux.Tab XCasmp#1}}% + \immediate\write18{\cat enteteMP.cfg >> \Tableaux.Tab#1.mp} + \immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab#1.mp} + \immediate\write18{\cat queue.mp >> \Tableaux.Tab#1.mp} + \immediate\write18{mpost -interaction=batchmode -jobname=\Tableaux.Tab \Tableaux.Tab#1} + \immediate\write18{\rem \Tableaux.Tab#1.mp} }% {% sinon, si le tableau est absent, alerte. \IfFileExists{\Tableaux.Tab.\theTVn}{}{% \PackageError{tablor}{Tableau absent non @@ -2085,8 +1707,8 @@ return(MetaL); %% -%% traitement des fichiers produits par giac/xcas avec possibilit -%% de modifier le fichier metapost (environnement toil)) +%% traitement des fichiers produits par giac/xcas avec possibilit +%% de modifier le fichier metapost (environnement toil)) %% @@ -2095,22 +1717,22 @@ return(MetaL); \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 oprations de fabrication +% Si non, lancement des oprations de fabrication {\executGiacmp{XCas#1.giac}% \immediate\write18{\editeur XCasmpfc.mp} - % Modification avec l'diteur choisi + % Modification avec l'diteur choisi \immediate\write18{\cp -f XCasmpfc.mp TSav-\theTVn.mp} % Sauvegarde du % source mp sur le disque pour une - % inclusion ultrieure dans Tableaux.mp. + % inclusion ultrieure dans Tableaux.mp. \immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab.mp}} % Inclusion du % source dans le % fichier % Tableaux \immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}% Reconstitution des tableaux - % et cration du dernier. L'option + % et cration du dernier. L'option % pallie l'absence de end en fin de % fichier @@ -2131,33 +1753,24 @@ return(MetaL); %% %%% %%% -%%% les "giac" qui permettent d'excuter la commande rentre dans le fichier tex +%%% les "giac" qui permettent d'excuter la commande rentre dans le fichier tex %%% suivis des environnements qui permettront la saisie du code giac/xcas -%%% Les versions toiles permettent de modifier le code metapost produit initialement +%%% Les versions toiles permettent de modifier le code metapost produit initialement %%% -\begin{VerbatimOut}{XCas.giac} +\begin{VerbatimOut}{XCasa.giac} maple_mode(0); -read("XcasTabSign.cxx"); -Sortie:=fopen("XCasmp.mp"); -vect.xcas.user := read("XCas.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XcasTabSigna.cxx"); +read("XCasa.user"); \end{VerbatimOut} \newenvironment{TSa} -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCas.user}} +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasa.user}} {\end{VerbatimOut} - \dresse{} + \dresse{a} } @@ -2171,20 +1784,11 @@ fclose(Sortie); \begin{VerbatimOut}{XCasQ.giac} maple_mode(0); read("XcasTabSignQ.cxx"); -Sortie:=fopen("XCasmpQ.mp"); -vect.xcas.user := read("XCasQ.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasQ.user"); \end{VerbatimOut} \newenvironment{TSq}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasQ.user}} +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasQ.user}} {\end{VerbatimOut}\dresse{Q}} @@ -2192,50 +1796,32 @@ fclose(Sortie); \newenvironment{TSq*}[1]% {\setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasQ.user}} +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasQ.user}} {\end{VerbatimOut}\dressetoile{Q}} \begin{VerbatimOut}{XCasL.giac} maple_mode(0); read("XcasTabSignL.cxx"); -Sortie:=fopen("XCasmpL.mp"); -vect.xcas.user := read("XCasL.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasL.user"); \end{VerbatimOut} \newenvironment{TS}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasL.user}} +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasL.user}} {\end{VerbatimOut}\dresse{L}} \newenvironment{TS*}[1] {\setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasL.user}} +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasL.user}} {\end{VerbatimOut}\dressetoile{L}} \begin{VerbatimOut}{XCasTSc.giac} maple_mode(0); read("XcasTSc.cxx"); -Sortie:=fopen("XCasmpTSc.mp"); -vect.xcas.user := read("XCasTSc.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTSc.user"); \end{VerbatimOut} @@ -2244,39 +1830,30 @@ fclose(Sortie); \newenvironment{TSc*}[1]% {\setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTSc.user}} +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTSc.user}} {\end{VerbatimOut}\dressetoile{TSc}} \newenvironment{TSc}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTSc.user}} +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTSc.user}} {\end{VerbatimOut}\dresse{TSc}} \begin{VerbatimOut}{XCasTV.giac} maple_mode(0); read("XcasTV.cxx"); -Sortie:=fopen("XCasmpTV.mp"); -vect.xcas.user := read("XCasTV.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTV.user"); \end{VerbatimOut} \newenvironment{TV}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTV.user}}% +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTV.user}}% {\end{VerbatimOut} \dresse{TV}} \newenvironment{TV*}[1]{% \setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTV.user}}% +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTV.user}}% {\end{VerbatimOut}\dressetoile{TV}} @@ -2292,27 +1869,18 @@ fclose(Sortie); \begin{VerbatimOut}{XCasTVZ.giac} maple_mode(0); read("XcasTVZ.cxx"); -Sortie:=fopen("XCasmpTVZ.mp"); -vect.xcas.user := read("XCasTVZ.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTVZ.user"); \end{VerbatimOut} \newenvironment{TVZ}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVZ.user}}% +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVZ.user}}% {\end{VerbatimOut} \dresse{TVZ}} \newenvironment{TVZ*}[1]{% \setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVZ.user}}% +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVZ.user}}% {\end{VerbatimOut}\dressetoile{TVZ}} @@ -2327,27 +1895,18 @@ fclose(Sortie); \begin{VerbatimOut}{XCasTVapp.giac} maple_mode(0); read("XcasTVapp.cxx"); -Sortie:=fopen("XCasmpTVapp.mp"); -vect.xcas.user := read("XCasTVapp.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTVapp.user"); \end{VerbatimOut} \newenvironment{TVapp}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVapp.user}}% +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVapp.user}}% {\end{VerbatimOut} \dresse{TVapp}} \newenvironment{TVapp*}[1]{% \setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVapp.user}}% +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVapp.user}}% {\end{VerbatimOut}\dressetoile{TVapp}} @@ -2363,27 +1922,18 @@ fclose(Sortie); \begin{VerbatimOut}{XCasTVI.giac} maple_mode(0); read("XcasTVI.cxx"); -Sortie:=fopen("XCasmpTVI.mp"); -vect.xcas.user := read("XCasTVI.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTVI.user"); \end{VerbatimOut} \newenvironment{TVI}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVI.user}}% +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVI.user}}% {\end{VerbatimOut}\dresse{TVI}} \newenvironment{TVI*}[1]% {\setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVI.user}}% +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVI.user}}% {\end{VerbatimOut}\dressetoile{TVI}} @@ -2394,27 +1944,18 @@ fclose(Sortie); \begin{VerbatimOut}{XCasTVIapp.giac} maple_mode(0); read("XcasTVIapp.cxx"); -Sortie:=fopen("XCasmpTVIapp.mp"); -vect.xcas.user := read("XCasTVIapp.user"); -vxo := vect.xcas.user; -dim.vxo := dim(vxo); -nbr.line.vxo := dim.vxo; -Resultat:=cat(" "); -rslt := vxo[0]; RslT:=cat(rslt); -Resultat:=cat(Resultat,RslT); -fprint(Sortie,Unquoted,Resultat); -fclose(Sortie); +read("XCasTVIapp.user"); \end{VerbatimOut} \newenvironment{TVIapp}% -{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVIapp.user}}% +{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVIapp.user}}% {\end{VerbatimOut}\dresse{TVIapp}} \newenvironment{TVIapp*}[1]% {\setcounter{TVnbis}{\theTVn} \setcounter{TVn}{#1} -\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\WW]{XCasTVIapp.user}}% +\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVIapp.user}}% {\end{VerbatimOut}\dressetoile{TVIapp}} |