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authorKarl Berry <karl@freefriends.org>2008-01-23 00:40:35 +0000
committerKarl Berry <karl@freefriends.org>2008-01-23 00:40:35 +0000
commitd579186be6c4710e3d8e2c041dc74bf74268181b (patch)
tree08efa1f153ab834674731da7421136ab399281b7 /Master/texmf-dist/tex
parent429c5536fba6b00fc5d57fd7da982d8f1e8a2f58 (diff)
tablor update (22jan08)
git-svn-id: svn://tug.org/texlive/trunk@6375 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex')
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor.sty123
1 files changed, 74 insertions, 49 deletions
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index fa48fb7905c..914fa524efa 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,7 +1,7 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesPackage{tablor}
- [17/01/2008 v1.2
+ [21/01/2008 v1.3
la machine à créer des tableaux de signes et variations]
@@ -9,27 +9,27 @@
%% Crée 5 environnements :
%% tableau de signes de 2 facteurs affines
% \begin{TSa}
-% TSa(-2,3,-1,5,1);
+% TSa(-2,3,-1,5,\tv);
% \end{TSa}
% %%%%%% Pour des tableaux de plus de 2 facteurs
%
% \begin{TS}
-% TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],2);
+% TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],\tv);
% \end{TS}
%
% pour les tableaux de signes avec quotient
%\begin{TSq}
-%TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],3)
+%TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],\tv)
%%\end{TSq}
% un tableau de variation :
%
% \begin{TV}
-% TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,4)
+% TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,\tv)
% \end{TV}
%
% tableau avec valeurs intermédiares
%\begin{TVI}
-%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,1)
+%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,\tv)
%\end{TVI}
%%%
@@ -37,7 +37,7 @@
\newcommand{\nettoyer}{
\immediate\write18{rm XCasmp.mp* XCasmp.log XCasmp?.mp* XCasmp?.log XCasmpTV.mp* XCasmpTV.log *.out XCasmpTVI.mp* XCasmpTVI.log
- *.in *.meta *mpx*}}
+ *.in *.meta *mpx* *~}}
\newcommand{\bouger}[1]{
\immediate\write18{cp XCas* #1}}
@@ -50,6 +50,7 @@
\newcounter{TVn}
+\newcommand{\tv}{\theTVn}
\usepackage{fancyvrb}
%\usepackage[upright]{fourier}
@@ -83,12 +84,14 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:="
+newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ 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(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
@@ -98,9 +101,11 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
+"}
lm0:=limite(f(x),x=Z[0],1)==-infinity;
- li:="newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
+ li:="
+newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -111,12 +116,15 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity;
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 $"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
- else{"valPos(btex $"+latex(simplifier(f(Z[r])))+"$ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}
+ else{"valPos(btex $"+latex(simplifier(f(Z[r])))+"$
+ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+"}}}
}; }
lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$ etex,"}else{"nonDefBarre;limGauche(btex $"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$ etex,"}+
- if(kz==1){"1);"}else{"0);"};
+ if(kz==1){"1);"}else{"0);
+"};
intro:="input tableauVariation;
@@ -137,12 +145,14 @@ MetaL:= if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}}else{
if(nz>2){intro+"beginTableau("+nmr+")"+
l0+
@@ -150,13 +160,15 @@ lsi+lsp+lsf+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}
}
@@ -212,7 +224,8 @@ if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]
TestL:=(abs(LL[k])==abs(LL[k+1]));
if(TestS==0){ if( TestL==1 ){l0:=l0}else{
A:=A,aa;l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);"+"val(btex $\\alpha_"+aa+"$ etex);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);";kk:=kk+1}}
-l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);"};
+l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);
+"};
@@ -220,7 +233,8 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))=
k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:="
+newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ 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(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$ $ etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
@@ -251,8 +265,9 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity;
TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
- li:="newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
- if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
+ li:="
+newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);
+"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "};
@@ -317,12 +332,14 @@ MetaL:= if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}}else{
if(nz>2){intro+"beginTableau("+nmr+")"+
l0+
@@ -330,13 +347,15 @@ lsi+lsp+lsf+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}
};
@@ -378,7 +397,8 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
@@ -389,7 +409,8 @@ for(p:=0;p<=n-1;p++){lp:=" ";
lp:=lp+if(simplifier(L[p](Z[r]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p]((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}}+
if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
- if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins;"}
+ if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins;
+ "}
};
@@ -469,12 +490,14 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
for(p:=0;p<=n-1;p++){lp:=" ";
- li:=li+"newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+
+ li:=li+"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+
if(L[p](Z[0]-1.0)>0){"plus;"}else{"moins;"}+
for(r:=0; r<=nz-2;r++){
lp:=lp+if(simplifier(L[p](Z[r]))==0){"
@@ -544,7 +567,8 @@ val(btex $+\\infty$ etex);
else{si a>0 alors "moins;"; sinon "plus;"; fsi}+
if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
if(a>0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);"
+ +"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);"
+ if(c>0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi}
@@ -552,7 +576,8 @@ val(btex $+\\infty$ etex);
if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
if(c>0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);"
+ +"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);"
+ si a*c>0 alors plus; sinon moins;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c>0 alors moins; sinon plus;fsi+";"+
@@ -584,7 +609,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TSa}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCas.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCas.out}}
{\end{VerbatimOut}
\executGiacmp{XCas.in}
@@ -593,7 +618,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmp.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -613,7 +638,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TSq}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasQ.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasQ.out}}
{\end{VerbatimOut}
\executGiacmp{XCasQ.in}
@@ -622,7 +647,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmpQ.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -643,7 +668,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TS}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasL.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasL.out}}
{\end{VerbatimOut}
\executGiacmp{XCasL.in}
@@ -652,7 +677,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmpL.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -674,17 +699,16 @@ Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
\end{VerbatimOut}
-\newenvironment{TV}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasTV.out}}
-{\end{VerbatimOut}
- \executGiacmp{XCasTV.in}
+\newenvironment{TV}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTV.out}}%
+{\end{VerbatimOut}%
+ \executGiacmp{XCasTV.in}
\immediate\write18{mpost XCasmpTV}
-
\begin{center}
\includegraphics{XCasmpTV.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -704,17 +728,17 @@ Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
\end{VerbatimOut}
-\newenvironment{TVI}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasTVI.out}}
-{\end{VerbatimOut}
- \executGiacmp{XCasTVI.in}
-
- \immediate\write18{mpost XCasmpTVI}
+\newenvironment{TVI}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVI.out}}%
+{\end{VerbatimOut}%
+ \executGiacmp{XCasTVI.in}
+ \immediate\write18{mpost XCasmpTVI}
\begin{center}
\includegraphics{XCasmpTVI.\theTVn}
\end{center}
+\stepcounter{TVn}
}
@@ -722,5 +746,6 @@ fclose(Sortie);
+
%%
%% Zi end