tablor 2.01 (24mar08)

git-svn-id: svn://tug.org/texlive/trunk@7130 c570f23f-e606-0410-a88d-b1316a301751

1 files changed, 620 insertions, 4 deletions

diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index 726ed6f45a5..4b5a9e57334 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,12 +1,12 @@
 
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[19/03/2008 v1.9 la machine à créer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[24/03/2008 v2.01 la machine à créer des tableaux de signes et variations]
 
 % \copyleft Connan le Barbare \copyright
 % avec l'efficace participation de Jean-Michel Boucart
 
 
-%% Crée 10 environnements :
+%% Crée 14 environnements :
 %% tableau de signes de 2 facteurs affines
 % \begin{TSa}
 % TSa(-2,3,-1,5,\tv);
@@ -32,7 +32,19 @@
 %TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,\tv)
 %\end{TVI}
 %%%
+% tableau de variations avec f' sans zéro formel
+%\begin{TVapp}
+% TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv)
+% \end{TVapp}
 %
+%
+% tableau de variations avec f' sans zéro formel
+%\begin{TVIapp}
+% TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,\tv)
+% \end{TVIapp}
+%
+%
+%%%
 % et leurs pendants étoilés qui permet l'affichage intermédiaire du 
 % fichier metapost pour le modifier
 %
@@ -375,6 +387,239 @@ return(MetaL);
 
 
 
+
+
+%%
+%%
+%% Quand les solutions formelles de f'(x)=0 ne sont pas calculables
+%%
+
+
+
+\begin{VerbatimOut}{XcasTVapp.cxx}
+
+
+
+
+
+
+
+TVapp(L,F,nom,nomv,f,ftt,nmr):={
+
+
+nl:=size(L);
+f:=unapply(f,x);
+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]);}
+else{if(L[1]==+infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=L[0]..100);}
+else{S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=z[0]..z[nz-1])}}};
+si size(S)>0 alors   pour j de 0 jusque size(S)-1 faire 
+                             kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (evalf(S[j])<=L[1]);
+                          if(kk==1){if(kok==1){z:=append(z,simplifier(S[j]))}};
+                          fpour;
+fsi;
+
+
+S:=NULL;
+S:=S,z[0];
+for(j:=1;j<size(z);j++){
+ if(z[j]!=undef and (abs(z[j])>1e-15 or z[j]==0)){
+   S:=S,z[j]};
+}
+z:=[S];
+
+Z:=sort(z);
+nz:=size(Z);
+
+S:=NULL;
+S:=S,Z[0];
+for(j:=1;j<nz;j++){
+ if(Z[j]!=S[size(S)-1]){
+   S:=S,Z[j]};
+}
+Z:=[S]; 
+
+
+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; 
+
+       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);"+
+     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(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+                                                         if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
+ 
+if(nz>2){ for(r:=1; r<=nz-2;r++){      ksp:=evalf(fp(Z[r]+0.01))>0;                     
+                                               lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                                                if(ksp==1){"plus;"}else{"moins;"}
+                                                  }; }
+
+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);"+
+           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(nz>2){ for(r:=1; r<=nz-2;r++){  krm:=evalf(limite(f(x),x=Z[r-1],1))< evalf(limite(f(x),x=Z[r],-1));
+                                                 krp:=evalf(limite(f(x),x=Z[r],1))> evalf(limite(f(x),x=Z[r+1],-1)) ;  
+                         lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
+                                                  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);
+"}}}
+                                                   }; }
+
+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);
+"};    
+    
+
+intro:="input tableauVariation;
+           verbatimtex
+%&latex
+ \\documentclass{article}
+ \\usepackage[upright]{fourier}
+ \\usepackage{amsmath}
+ \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}}
+ \\begin{document}
+ etex;
+
+"
+  
+
+MetaL:=if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+lsi+lsp+lsf+"
+endTableau;
+end
+";}else{
+intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+"
+endTableau;
+end";
+}
+}else{ if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+
+li+
+lp+
+lf
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
+        l0+
+li+
+lf
++"
+endTableau;
+end";}}else{
+if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+end";}
+}}
+
+
+
+MetaLfc:=if(ftt==2){if(nz>2){"
+
+beginTableau("+nmr+")"+
+        l0+lsi+lsp+lsf+"
+endTableau;
+
+";}else{
+intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+"
+endTableau;
+
+";
+}
+}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+
+        l0+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+li+
+lf
++"
+endTableau;
+
+";}}else{
+if(nz>2){"beginTableau("+nmr+")"+
+        l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+
+";}
+}}
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+return(MetaL);
+ }:;
+
+
+
+
+
+
+
+\end{VerbatimOut}
+
+
+
+
+
+
+
 %%
 %% Code giac/Xcas pour les Tableaux de Variations avec 
 %% Valeurs intermédiaires
@@ -641,6 +886,306 @@ return(MetaL);
 
 
 
+
+
+
+
+%%
+%%
+%% Quand les solutions de f'(x)=0 ne sont pas formellement calculables
+%%
+
+
+
+
+\begin{VerbatimOut}{XcasTVIapp.cxx}
+
+
+TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={
+
+
+nl:=size(L);
+f:=unapply(f,x);
+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]);}
+else{if(L[1]==+infinity){S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=L[0]..100);}
+else{S:=seq(fsolve(fp(x),x,k/10,newton_solver),k=z[0]..z[nz-1])}}};
+si size(S)>0 alors   pour j de 0 jusque size(S)-1 faire 
+                             kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (evalf(S[j])<=L[1]);
+                          if(kk==1){if(kok==1){z:=append(z,simplifier(S[j]))}};
+                          fpour;
+fsi;
+
+
+S:=NULL;
+S:=S,z[0];
+for(j:=1;j<size(z);j++){
+ if(z[j]!=undef and (abs(z[j])>1e-15 or z[j]==0)){
+   S:=S,z[j]};
+}
+z:=[S];
+
+
+
+Z:=sort(z);
+nz:=size(Z);
+
+S:=NULL;
+S:=S,Z[0];
+for(j:=1;j<nz;j++){
+ if(Z[j]!=S[size(S)-1]){
+   S:=S,Z[j]};
+}
+Z:=[S]; 
+
+
+nz:=size(Z);
+l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
+
+
+
+LI:=limite(f(x),x,Z[0],1);
+LF:=limite(f(x),x,Z[nz-1],-1);
+LP:=NULL;
+if(nz>2){ for(r:=1; r<=nz-2;r++){LP:=LP,if(member(Z[r],F)){limite(f(x),x,Z[r],-1),limite(f(x),x,Z[r],1)}else{f(Z[r])}}};
+if(nz>2){ LL:=[LI,LP,LF]}else{LL:=[LI,LF]};
+      
+NL:=size(LL);
+A:=NULL;aa:=1;kk:=0;
+
+if(NL==nz){for(k:=0;k<nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex $"+latex(Z[k])+"$ etex);"+"val(btex $\\alpha_"+aa+"$ etex);";aa:=aa+1;}else{l0:=l0+"val(btex $"+latex(Z[k])+"$ etex);"}}
+l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);"};
+
+if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
+TestL:=(abs(LL[k])==abs(LL[k+1]));
+if(TestS==0){ if( TestL==1 ){l0:=l0}else{
+A:=A,aa;l0:=l0+"val(btex $"+latex(Z[kk])+"$ 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);
+"};
+
+
+
+TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
+       k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1));
+       kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1));
+                          
+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(fp(Z[0])==0){"valBarre(btex 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$  $ etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; 
+
+
+
+
+ 
+if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); 
+                                                 ksp:=evalf(fp(Z[r]+0.01))>0;  
+                                                 TestL:=(abs(LL[r])==abs(LL[r+1]));
+                                 lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                                  if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex $  $ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
+                                             }}
+else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
+                                          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 $  $ 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;}        
+}}     
+  }; 
+
+
+
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
+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,"}
+             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{" "}; 
+                         
+            
+                     if(nz>2){if(nz==NL){for(r:=1; r<=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); 
+                                                 krm:=evalf(limite(f(x),x=Z[r-1],1))< evalf(limite(f(x),x=Z[r],-1));
+                                                 krp:=evalf(limite(f(x),x=Z[r],1))> evalf(limite(f(x),x=Z[r+1],-1)) ;  
+                         lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
+                                                  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);"}}}+if(TestS==0){"valPos(btex
+                                            $ "+ao+" $ etex,0.5);"
+                                                           }else{" "}; 
+};//for
+}else{rr:=1;for(r:=1; r<=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0); 
+                                                 krm:=evalf(limite(f(x),x=Z[rr-1],1))< evalf(limite(f(x),x=Z[rr],-1));
+                                                 krp:=evalf(limite(f(x),x=Z[rr],1))> evalf(limite(f(x),x=Z[rr+1],-1)) ;  
+                         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 $"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
+                                          else{"valPos(btex          $"+latex(simplifier(f(Z[rr])))+"$
+                                            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
+                                            $ "+ao+" $ etex,0.5);
+                                                                 ";rr:=rr+1;
+}// else testL==1
+}//testS==0
+else{lp:=lp+if(member(Z[rr],F)){
+                                    "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
+                                          else{"valPos(btex          $"+latex(simplifier(f(Z[rr])))+"$
+                                            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;
+}//else testS==0
+}//for nz<NL
+}// else nz<NL
+//if nz=NL
+};//if nz>2
+
+
+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);"};    
+    
+
+
+intro:="
+input tableauVariation;
+verbatimtex
+%&latex
+ \\documentclass{article}
+ \\usepackage[upright]{fourier}
+ \\usepackage{amsmath}
+ \\newcommand{\\Mathbold}[1]{\\mbox{\\boldmath$#1$\\unboldmath}}
+ \\begin{document}
+ etex;
+
+";
+  
+
+MetaL:= if(ftt==2){if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+lsi+lsp+lsf+"
+endTableau;
+end";}else{
+intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+"
+endTableau;
+end";
+}
+}else{
+if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+
+li+
+lp+
+lf
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
+        l0+
+li+
+lf
++"
+endTableau;
+end";}}else{
+if(nz>2){intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+end";}
+}};
+
+
+MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+
+        l0+lsi+lsp+lsf+"
+endTableau;
+
+";}else{
+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+"
+endTableau;
+
+";
+}
+}else{
+if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+
+        l0+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+li+
+lf
++"
+endTableau;
+";}}else{
+if(nz>2){"beginTableau("+nmr+")"+
+        l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+
+";}
+}};
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+return(MetaL);
+ }:;
+
+
+
+\end{VerbatimOut}
+
+
+
+
+
+
+
+
+
+
+
+
+
 %%
 %% Code giac/Xcas pour les Tableaux de signes de produits
 %%
@@ -986,7 +1531,7 @@ newLigneVariables(btex $\\Mathbold{x}$ etex);
                      li
                      +
     "
- newLigneSignes(btex $\\hbox{\\bf Signe }\\atop{{\\bf de"+nomf+"(x)}}$ etex);"+
+ newLigneSignes(btex $\\hbox{\\bf Signe de}\\atop{{\\bf "+nomf+"(x)}}$ etex);"+
                if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
                                 valBarre(btex 0 etex);"}else{"
                               "}}else{"nonDefBarre;"}+  
@@ -1010,7 +1555,7 @@ newLigneVariables(btex $\\Mathbold{x}$ etex);
                      li
                      +
     "
- newLigneSignes(btex $\\hbox{\\bf Signe }\\atop{{\\bf de"+nomf+"(x)}}$ etex);"+
+ newLigneSignes(btex $\\hbox{\\bf Signe de}\\atop{{\\bf "+nomf+"(x)}}$ etex);"+
                if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
                                 valBarre(btex 0 etex);"}else{"
                               "}}else{"nonDefBarre;"}+  
@@ -1284,6 +1829,7 @@ return(MetaL);
                                                      % source dans le
                                                      % fichier
                                                      % Tableaux 
+
 \immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}% Reconstitution des tableaux
                                 % et création du dernier. L'option
                                 % pallie l'absence de end en fin de
@@ -1455,6 +2001,47 @@ fclose(Sortie);
 {\end{VerbatimOut}\dressetoile{TV}}
 
 
+
+
+
+
+
+\begin{VerbatimOut}{XCasTVapp.giac}
+maple_mode(0);
+read("XcasTVapp.cxx");
+Sortie:=fopen("XCasmpTVapp.mp");
+vect.xcas.user := read("XCasTVapp.user");
+vxo := vect.xcas.user;
+dim.vxo := dim(vxo);
+nbr.line.vxo := dim.vxo;
+Resultat:=cat(" "); 
+rslt := vxo[0]; RslT:=cat(rslt);
+Resultat:=cat(Resultat,RslT);
+fprint(Sortie,Unquoted,Resultat);
+fclose(Sortie);
+\end{VerbatimOut}
+
+\newenvironment{TVapp}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVapp.user}}%
+{\end{VerbatimOut}
+\dresse{TVapp}}
+
+\newenvironment{TVapp*}[1]{%
+\setcounter{TVnbis}{\theTVn}
+\setcounter{TVn}{#1}
+\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVapp.user}}%
+{\end{VerbatimOut}\dressetoile{TVapp}}
+
+
+
+
+
+
+
+
+
+
+
 \begin{VerbatimOut}{XCasTVI.giac}
 maple_mode(0);
 read("XcasTVI.cxx");
@@ -1486,6 +2073,35 @@ fclose(Sortie);
 
 
 
+\begin{VerbatimOut}{XCasTVIapp.giac}
+maple_mode(0);
+read("XcasTVIapp.cxx");
+Sortie:=fopen("XCasmpTVIapp.mp");
+vect.xcas.user := read("XCasTVIapp.user");
+vxo := vect.xcas.user;
+dim.vxo := dim(vxo);
+nbr.line.vxo := dim.vxo;
+Resultat:=cat(" "); 
+rslt := vxo[0]; RslT:=cat(rslt);
+Resultat:=cat(Resultat,RslT);
+fprint(Sortie,Unquoted,Resultat);
+fclose(Sortie);
+\end{VerbatimOut}
+
+\newenvironment{TVIapp}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVIapp.user}}%
+{\end{VerbatimOut}\dresse{TVIapp}}
+
+
+\newenvironment{TVIapp*}[1]%
+{\setcounter{TVnbis}{\theTVn}
+\setcounter{TVn}{#1}
+\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVIapp.user}}%
+{\end{VerbatimOut}\dressetoile{TVIapp}}
+
+
+
+