diff options
Diffstat (limited to 'Master/texmf-dist/tex/latex/tablor')
| -rw-r--r-- | Master/texmf-dist/tex/latex/tablor/tablor.sty | 624 |
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}} + + + + |