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authorManuel Pégourié-Gonnard <mpg@elzevir.fr>2008-05-17 15:12:56 +0000
committerManuel Pégourié-Gonnard <mpg@elzevir.fr>2008-05-17 15:12:56 +0000
commit5c74e8bbbe565778ae975fbb5cced00f3bd02408 (patch)
tree7fac3417c36e0d13ebca2c8047f81e87056f63ca /Master/texmf-dist/doc/latex/tablor
parent5bb3d3a90123ee043d1502d4bc9d8d50b063904c (diff)
tablor v2.06
git-svn-id: svn://tug.org/texlive/trunk@8191 c570f23f-e606-0410-a88d-b1316a301751
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-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/TSav-105.mp22
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-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.pdfbin469785 -> 240642 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.tex265
51 files changed, 11034 insertions, 939 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures.zip b/Master/texmf-dist/doc/latex/tablor/Figures.zip
deleted file mode 100644
index ae85df1bd44..00000000000
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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
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+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
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
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;
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.font-latex-math {
/* font-latex-math-face */
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@@ -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 &#224; cr&#233;er des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[16/05/2008 v2.06 la machine &#224; cr&#233;er 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'ent&#234;te MetaPOST
+</span><span class="comment-delimiter">% </span><span class="comment">&#224; 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">&amp;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">Cr&#233;e 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 &#233;toil&#233;s qui permet l'affichage interm&#233;diaire du
+</span><span class="comment-delimiter">% </span><span class="comment">et leurs pendants &#233;toil&#233;s qui permettent l'affichage interm&#233;diaire du
</span><span class="comment-delimiter">% </span><span class="comment">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">D&#233;finit des commandes disque selon l'OS utilis&#233;
+</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 pr&#233;sent
</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 ext&#233;rieur 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-t&#234;te 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">&amp;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">Cl&#244;t le fichier metapost contenant le r&#233;capitulatif de tous les tableaux
</span>
-<span class="comment-delimiter">%% </span><span class="comment">D&#233;finit des commandes disque selon l'OS utilis&#233;
-</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 pr&#233;sent...
</span> {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}<span class="comment">% le d&#233;truire
</span> {}<span class="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'ent&#234;te 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'ent&#234;te de Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment">
</span>}
{<span class="font-latex-sedate">\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 &lt;#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)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[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))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; 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&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-<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)))}+"$</span> etex,"}+
- if(kz==1){"1);"}else{"0);
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
"};
-intro:="input <span class="flyspell-duplicate">tableauVariation</span>;
- verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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&gt;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&gt;2){intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lp+
-lf
-+"
-endTableau;
-end";}else{intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lf
-+"
-endTableau;
-end";}}else{
-if(nz&gt;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&gt;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&gt;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&gt;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&lt;nf;k++){
if(FF[k][0]&gt;L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]};
@@ -505,11 +483,11 @@ if(FF[k][1]&lt;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&lt;nf;k++){
@@ -520,29 +498,29 @@ S:=resoudre(fp(x),x);
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
for(k:=0;k&lt;nf;k++){
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
- kK:=(evalf(S[j])&lt;evalf(Imin[k])) or (evalf(S[j])&gt;evalf(Imax[k]));
+ kK:=(evalf(S[j])&lt;evalf(Imin[k])) or (evalf(S[j])&gt;<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&lt;nf;j++){
for(k:=1;k&lt;nz;k++){
- if ((Z[k]&gt;Imin[j])and(Z[k]&lt;Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=nz-1;
+ if ((Z[k]&gt;Imin[j])and(Z[k]&lt;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])+"$</span> etex);
-";fpour;
+";<span class="flyspell-duplicate">fpour</span>;
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="
+<span class="flyspell-duplicate">lsi</span>:="
newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+
if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
@@ -565,22 +543,22 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
- lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{
+ lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}<span class="flyspell-duplicate">else</span>{
if(member(Z[r],IMAX)!=0){"finNonDef;"+
- if(ksp==1){"plus;"}else{"moins;"}}else{
- if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(ksp==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{
+ if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
if(ksp==1){"plus;"}else{"moins;"}
}}}};
-lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
+<span class="flyspell-duplicate">lsf</span>:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
"}}
-lm0:=limite(f(x),x=Z[0],1)==-infinity;
+lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
li:="
-newLigneVariations(btex <span class="font-latex-math">$\\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)))}+"$</span> etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -590,137 +568,79 @@ if(nz&gt;2){
for(r:=1; r&lt;=nz-2;r++){
krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
krp:=evalf(limite(f(x),x=Z[r],1))&gt; evalf(limite(f(x),x=Z[r+1],-1)) ;
- lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
+ lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>;
lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"}+
- if(kz==1){"1);"}else{"0);
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
"};
-intro:="input tableauVariation;
- verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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&gt;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&gt;2){intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lp+
-lf
-+"
-endTableau;
-end";}else{intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lf
-+"
-endTableau;
-end";}}else{
-if(nz&gt;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&gt;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&gt;2){"beginTableau("+nmr+")"+
+}else{ if(ftt==0){if(nz&gt;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&gt;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)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
if(kk==1){if(kok==1){z:=append(z,simplifier(S[j]))}};
fpour;
-fsi;
+<span class="flyspell-duplicate">fsi</span>;
S:=NULL;
@@ -811,18 +729,18 @@ for(j:=1;j&lt;nz;j++){
Z:=[S];
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+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])+"$</span> <span class="flyspell-duplicate">etex</span>);
";fpour;
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
lsi:="
-newLigneSignes(btex <span class="font-latex-math">$\\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)))}+"$</span> etex,"}+
- if(k0==1){"1"}else{"0"}+
+ if(k0==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+
");";
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
@@ -853,65 +771,10 @@ newLigneVariations(btex <span class="font-latex-math">$\\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">&amp;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&gt;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&gt;2){intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lp+
-lf
-+"
-endTableau;
-end";}else{intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lf
-+"
-endTableau;
-end";}}else{
-if(nz&gt;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&gt;2){"beginTableau("+nmr+")"+
+}else{ if(ftt==0){if(nz&gt;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&gt;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&gt;nz){for(k:=0;k&lt;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))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; 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&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=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))&gt;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">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
}}
-else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(<span class="flyspell-duplicate">LL</span>[r+1]-ao))==0.0);
TestL:=(abs(LL[r])==abs(LL[r+1]));
if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
- if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+ if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
} else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
- if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+ if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
}}
};
lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
-lm0:=limite(f(x),x=Z[0],1)==-infinity;
+<span class="flyspell-duplicate">lm</span>0:=limite(f(x),x=Z[0],1)==-infinity;
-TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
+<span class="flyspell-duplicate">TestS</span>:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
li:="
-newLigneVariations(btex <span class="font-latex-math">$\\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+" $</span> etex,0.5);"}<span class="flyspell-duplicate">else</span>{" "};
if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
@@ -1096,7 +958,7 @@ newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span clas
krp:=evalf(limite(f(x),x=Z[r],1))&gt; 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&lt;=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))&lt; evalf(limite(f(x),x=Z[rr],-1));
- krp:=evalf(limite(f(x),x=Z[rr],1))&gt; evalf(limite(f(x),x=Z[rr+1],-1)) ;
+ krp:=evalf(limite(f(x),x=Z[rr],1))&gt; 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])))+"$</span>
- etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+ etex,"+if(sign(evalf(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
"}}};rr:=rr+1;
-}//else <span class="flyspell-duplicate">testS</span>==0
+}//else testS==0
}//for nz&lt;NL
}// else nz&lt;NL
//if nz=NL
@@ -1128,77 +990,20 @@ else{lp:=lp+if(member(Z[rr],F)){
lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"}+
- if(kz==1){"1);"}else{"0);"};
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"};
-intro:="
-input tableauVariation;
-verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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&gt;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&gt;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&gt;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&gt;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&gt;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&gt;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)&gt;0 alors pour j de 0 jusque size(S)-1 faire
- kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
+ kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (<span class="flyspell-duplicate">evalf</span>(S[j])&lt;=L[1]);
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+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
@@ -1322,173 +1126,116 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limite(f(x),x,Z
if(nz&gt;2){ LL:=[LI,LP,LF]}else{LL:=[LI,LF]};
NL:=size(LL);
-A:=NULL;aa:=1;kk:=0;
+A:=NULL;aa:=1;<span class="flyspell-duplicate">kk</span>:=0;
if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+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])+"$</span> <span class="flyspell-duplicate">etex</span>);"};
if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
TestL:=(abs(LL[k])==abs(LL[k+1]));
if(TestS==0){ if( TestL==1 ){l0:=l0}else{
-A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+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])+"$</span> <span class="flyspell-duplicate">etex</span>);
"};
TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
- kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
+ kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
-lsi:="
+<span class="flyspell-duplicate">lsi</span>:="
newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+
if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
- if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
+ if(fp(Z[0])==0){"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"}else{" "}+
if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(<span class="flyspell-duplicate">sign</span>(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "};
-if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
+if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-<span class="flyspell-duplicate">ao</span>))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
ksp:=evalf(fp(Z[r]+0.01))&gt;0;
TestL:=(abs(LL[r])==abs(LL[r+1]));
- lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ lsp:=lsp+if(member(Z[r],F)==0){"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
}}
-else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
+<span class="flyspell-duplicate">else</span>{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
TestL:=(abs(LL[r])==abs(LL[r+1]));
- if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
- if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
- } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
- if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+ if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ if(kspp==1){"plus;"}else{"moins;"}+"valBarre(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+ } else{lsp:=lsp+if(member(Z[rr],F)==0){"<span class="flyspell-duplicate">valBarre</span>(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
}}
};
lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
-lm0:=limite(f(x),x=Z[0],1)==-infinity;
+<span class="flyspell-duplicate">lm</span>0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
-TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
+TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-<span class="flyspell-duplicate">ao</span>))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
li:="
-newLigneVariations(btex <span class="font-latex-math">$\\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+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);"}<span class="flyspell-duplicate">else</span>{" "};
- if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
+ if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(<span class="flyspell-duplicate">evalf</span>(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
krp:=evalf(limite(f(x),x=Z[r],1))&gt; evalf(limite(f(x),x=Z[r+1],-1)) ;
- lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
+ lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>;
lp:=lp+if(member(Z[r],F)) {
- "limGauche(btex <span class="font-latex-math">$"+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+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);"
+ }<span class="flyspell-duplicate">else</span>{" "};
};//for
}else{rr:=1;for(r:=1; r&lt;=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
- krm:=evalf(limite(f(x),x=Z[rr-1],1))&lt; evalf(limite(f(x),x=Z[rr],-1));
- krp:=evalf(limite(f(x),x=Z[rr],1))&gt; evalf(limite(f(x),x=Z[rr+1],-1)) ;
+ krm:=evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>-1],1))&lt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],-1));
+ krp:=evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],1))&gt; evalf(limite(f(x),x=Z[rr+1],-1)) ;
lmrm:=limite(f(x),x=Z[rr],-1)==-infinity;lmrp:=limite(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) {
- "limGauche(btex <span class="font-latex-math">$"+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])))+"$</span>
etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
- "}}};rr:=rr+1;
+ "}}};rr:=<span class="flyspell-duplicate">rr</span>+1;
}//else testS==0
-}//for nz&lt;NL
-}// else nz&lt;NL
+}//for nz&lt;<span class="flyspell-duplicate">NL</span>
+}// else nz&lt;<span class="flyspell-duplicate">NL</span>
//if nz=NL
-};//if nz&gt;2
+};//if <span class="flyspell-duplicate">nz</span>&gt;2
-lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
- lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+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)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"};
-intro:="
-input tableauVariation;
-verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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&gt;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&gt;2){intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lp+
-lf
-+"
-endTableau;
-end";}else{intro+"beginTableau("+nmr+")"+
- l0+
-li+
-lf
-+"
-endTableau;
-end";}}else{
-if(nz&gt;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&gt;2){"beginTableau("+nmr+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;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&gt;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&gt;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-&gt;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]&gt;mini and S[j]&lt;maxi){Z:=Z,simplifier(S[j]);}
fpour;
fsi;
-fpour;
+<span class="flyspell-duplicate">fpour</span>;
Z:=sort(Z);
nz:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1;
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])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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))+"}}$</span> etex);"+
if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
-if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){"
- valBarre(btex 0 etex);"}else{"
+if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](<span class="flyspell-duplicate">maxi</span>)==0){"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}
}
lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"};
-MetaL:=" input tableauVariation;
- verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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])+"$</span> <span class="flyspell-duplicate">etex</span>);";
for(p:=0;p&lt;=n-1;p++){lp:="";
li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
if(L[p](Z[0]-0.01)&gt;0){"plus;"}else{"moins;"};
@@ -1662,55 +1383,27 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f
"}+
if(L[p]((Z[r]+Z[r+1])*.5)&gt;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)&gt;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)&gt;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">&amp;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}}$</span> <span class="flyspell-duplicate">etex</span>);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}else{"
- "}+
- if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+
- lr+
- if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
- if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}else{"
- "}+"
-endTableau;
-end"
-;
-MetaLfc:=" beginTableau("+nmr+")
-newLigneVariables(btex <span class="font-latex-math">$\\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}}$</span> etex);"+
- if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+
lr+
@@ -1718,14 +1411,14 @@ newLigneVariables(btex <span class="font-latex-math">$\\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-&gt;unapply(f,x),L);
Fo:=apply(f-&gt;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)&gt;0 alors pour j de 0 jusque size(S)-1 faire
if(S[j]&gt;mini and S[j]&lt;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 z&#233;ros dans l'ordre croissant
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les z&#233;ros en double
fsi;
-fpour;}
+<span class="flyspell-duplicate">fpour</span>;}
Z:=sort(Z);
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1;
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])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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))+"}}$</span> etex);"+
if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
-if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){"
+if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](<span class="flyspell-duplicate">maxi</span>)==0){"
valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}
}
lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"};
-MetaL:=" input <span class="flyspell-duplicate">tableauVariation</span>;
- verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
-</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
- <span class="font-latex-warning">\\</span>?fonte
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
- <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#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])+"$</span> etex);";
-for(p:=0;p&lt;=n-1;p++){lp:="";
+for(p:=0;p&lt;=n-1;p++){<span class="flyspell-duplicate">lp</span>:="";
li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\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))+"}}$</span> etex);"+
if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
if(L[p](Z[0]-0.01)&gt;0){"plus;"}else{"moins;"};
@@ -1881,49 +1549,20 @@ newLigneSignes(btex <span class="font-latex-math">$\\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)&gt;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">&amp;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)&gt;0){"plus;"}else{"moins;"}+
- if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
- lr+
- if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}<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">&amp;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+"}}$</span> <span class="flyspell-duplicate">etex</span>);"
+ if(a&gt;0){"moins;"}else{"plus;"}+
if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+
- if(zmin==zA){si a&gt;0 alors "plus;"; sinon "moins;";fsi}
+ if(zmin==zA){si a&gt;0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>}
else{si a&gt;0 alors "moins;"; sinon "plus;"; fsi}+
- if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
+ if(zmin==zA){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
if(a&gt;0){"plus;"}else{"moins;"}
+"
-newLigneSignes(btex <span class="font-latex-math">$\\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+"}}$</span> etex);"
+ if(c&gt;0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
- if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
+ if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>}
else{si c&gt;0 alors "moins;"; sinon "plus;"; fsi}+
- if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
+ if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
if(c&gt;0){"plus;"}else{"moins;"}
+"
-newLigneSignes(btex <span class="font-latex-math">$\\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+")}}$</span> etex);"
- + si a*c&gt;0 alors plus; sinon moins;fsi+";"+
- "valBarre(btex 0 etex);"+
+newLigneSignes(btex <span class="font-latex-math">$\\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+")}}$</span> <span class="flyspell-duplicate">etex</span>);"
+ + si a*c&gt;0 alors plus; sinon moins;<span class="flyspell-duplicate">fsi</span>+";"+
+ "valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"+
si a*c&gt;0 alors moins; sinon plus;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c&gt;0 alors plus; sinon moins;fsi+";"+"
-endTableau;
-end"
+<span class="flyspell-duplicate">endTableau</span>;
+"
;
-return(Meta);
+
+
+
+sortie:=fopen("XCasmpfc.<span class="flyspell-duplicate">mp</span>");
+<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,<span class="flyspell-duplicate">Meta</span>);
+<span class="flyspell-duplicate">fclose</span>(sortie);
+
+
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -2028,8 +1665,8 @@ return(Meta);
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=?<span class="flyspell-duplicate">WW</span>]{XcasTSc.cxx}
-TSc(g,D,nmr):={
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTSc.cxx}
+<span class="flyspell-duplicate">TSc</span>(g,D,nmr):={
f:=unapply(g,x);
Z:=NULL;
mini:=D[0]; maxi:=D[1];lm:=" ";
@@ -2037,24 +1674,24 @@ S:=resoudre(f(x),x);
if(size(S)==0){
l0:="val(btex <span class="font-latex-math">$"+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&gt;0)){"plus;"}else{"moins;"}}else{if(f(0)&gt;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]&gt;mini and S[j]&lt;maxi){Z:=Z,simplifier(S[j])};
fpour;
Z:=sort(Z);
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1;
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)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);";
-lm:=if(nz&gt;=2){for(r:=0; r&lt;=nz-2;r++){lm:=lm+if(f((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}+
- "valBarre(btex 0 etex);"
- }}else{" "};
+<span class="flyspell-duplicate">lm</span>:=if(nz&gt;=2){for(r:=0; r&lt;=nz-2;r++){lm:=lm+if(f((Z[r]+Z[r+1])*.5)&gt;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)&gt;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)&gt;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">&amp;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 pr&#233;sent"
</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 cr&#233;er
</span> <span class="comment">% l'image du tableau
-</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.<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 &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}
+ <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> enteteMP.cfg &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.<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 &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}
+ <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp &gt;&gt; <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 &gt;&gt; <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 &gt;&gt; <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 op&#233;rations 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 ult&#233;rieure dans Tableaux.mp.
+</span> <span class="comment">% inclusion ult&#233;rieure 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 &gt;&gt; <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 -&gt; enjoy :)
+</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -&gt; </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
index 58e9301be17..c954c0bf881 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 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 à créer 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}
+
+
+
+
+
+
+
+
+%%
+%
+% Début du document
+%
+%%
+
+
+
\begin{document}
+\setlength{\parindent}{0mm}
+
\maketitle
\initablor
@@ -122,24 +148,72 @@ courant puis effacés 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 exécutées par
\texttt{giac}.
-Les lignes importantes sont~:
+Il est très court~:
\xcas
\begin{lstlisting}
+maple_mode(0); // au cas où 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 paramètres rentrés dans le fichier tex
+read("XCasTV.user"); // giac lit les paramètres rentrés dans le source
+tex et fabrique à la volée le source MetaPOST.
\end{lstlisting}
\item des fichiers d'extension \texttt{.user} qui sont créés par \LaTeX{} grâce à 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 procédures suivent le même principe~:
+
+\begin{itemize}
+\item la plus grande partie s'occupe de créer les lignes du tableaux à
+ l'aide de nombreux tests et boucles;
+\item ensuite, on regroupe ces lignes dans une variable
+ \texttt{MetaLfc};
+
+\item on exporte le tableau à l'aide des trois dernières lignes~:
+
+\xcas
+
+\begin{lstlisting}
+sortie:=fopen("XCasmpfc.mp"); // on crée 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 même principe pour créer d'autres associations de
+vos outils préférés. 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 automatisé en modifiant la ligne suivante~:~\texttt{shell-escape t};
-\item il faut avoir à disposition l'extension \texttt{fancyvrb};
+\item il faut avoir à 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 problème et rien à faire car \texttt{tablor}
contient déjà 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 même
+ répertoire de \texttt{tablor.sty}
\end{itemize}
-
+\begin{figure}
\begin{Idee}{shell-escape}
Pour les utilisateurs de TeXnicCenter, observez cette
@@ -204,7 +282,7 @@ Le séparateur est le point virgule.
(Merci à Gaëtan et à Daniel).
\end{Idee}
-
+ \end{figure}
\begin{figure}
\begin{DANGER}{Conflit d'extensions}
@@ -214,14 +292,14 @@ Le séparateur est le point virgule.
\end{figure}
-\begin{figure}
+
\begin{DANGER}{Commandes créées}
Huit nouvelles commandes sont crées~:~\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 séparateur 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 «~protégée~» et par suite inutilisable pour nommer une fonction. Tout autre
- caractère hors alphabet posait soit des problèmes d'encodage, soit était utilisé par XCAS...
- \end{DANGER}
- \end{figure}
-
+\pagebreak
\section{Comment l'utiliser~?}
@@ -257,8 +327,8 @@ Le préambule 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 préambule sera toujours~:
On met \texttt{xcas} si l'on a installé \texttt{giac/XCAS} sur son
- ordinateur et on ne met rien si \texttt{giac/XCAS} n'est pas installé et qu'on a récupéré un
+ ordinateur et on ne met rien si \texttt{giac/XCAS} n'est pas
+ installé ou (et) que l'on a récupéré un
fichier \texttt{tex} avec les fichiers sources \texttt{MetaPOST}; Ainsi, \texttt{tablor} ne fera
- pas appel à \texttt{giac/XCAS} et se contentera de compiler les fichiers \texttt{MetaPOST};
-
+ pas appel à \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 installé \texttt{giac/XCAS} sur son
\newcommand{\editeur}{kile }
-% Déclaration des fontes utilisées
-% ================================
-%
-% 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 même arborescence que \texttt{tablor.sty} et le modifierez si besoin est.
-\subsubsection*{Éditeur}
+\subsubsection*{Rôle}
L'éditeur sera appelé dans certains cas pour modifier
l'aspect des tableaux dans les fichiers sources \texttt{MetaPOST}. Il faudra choisir un éditeur
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 utilisées par défaut 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 décommenter la
+ligne spécifiée afin que les commandes \texttt{unix} soient remplacées
+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 début de \texttt{tablor.sty}, entre les
+lignes 20 et 32~:~ vous les modifierez si besoin est.
+
+\subsubsection*{Rôle}
+
+Il s'agit du préambule \texttt{tex} qui sera utilisé par
+\texttt{MetaPOST} pour créer 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 préfixe 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 déduit 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 installé \texttt{XCAS}. Voir le paragraphe~\ref{prefix} pour plus de détails
\item à \href{http://www.yvesdelhaye.be/?Generateur-d-interrogations-le}{Yves \textsc{Delhaye}} pour ses idées sur le \texttt{shell-escape}
\item à \href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{Bernard
- \textsc{Parisse}} pour \texttt{XCAS}.
+ \textsc{Parisse}} pour \texttt{XCAS};
+
+\item à Jean-Michel \textsc{Boucart} pour ses précieuses et efficaces
+ améliorations de la partie \LaTeX{} du code.
+
\end{itemize}
+\section{Erreurs habituelles}
+
+
+Avez-vous rendu possible le \texttt{shell-escape}~? Avez-vous installé
+toutes les extensions listées en début de ce document~? Est-ce que \texttt{XCAS}
+ est dans votre \texttt{PATH}~?
+
+La première chose est d'analyser le fichier \texttt{log}.
+
+En cas de problème, n'hésitez pas à me contacter à l'adresse indiquée
+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 considère la fonction $f$ définie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x
Étudions sa dérivée~:
-\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 déduit 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 considère la fonction $f$ définie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x+(1-x){\rm e}^{2x}\bigr)$
@@ -1307,16 +1422,16 @@ On considère la fonction $f$ définie sur \textbf{R} par $f(x)=\frac{1}{2}\bigl(x
Étudions sa dérivée~:
-\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 déduit 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}