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Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor/tablor.html')
| -rw-r--r-- | Master/texmf-dist/doc/latex/tablor/tablor.html | 356 |
1 files changed, 176 insertions, 180 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html index 7841bf6b493..11f73791c5a 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -87,7 +87,7 @@ <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>}[29/01/2009 v4.02c la machine a creer des tableaux de signes et variations] +<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[07/02/2009 v4.03 la machine a creer 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 (aka Guillaume Connan) </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="comment">This work may be distributed and/or mofified under the conditions @@ -95,7 +95,7 @@ </span><span class="comment-delimiter">% </span><span class="comment">any later version. The latest version is in </span><span class="comment-delimiter">% </span><span class="comment">http://www.latex-project.org/lppl/ </span><span class="comment-delimiter">% </span><span class="comment">This work consists of the files tablor.sty, tablor-xetex.sty, tablor.cfg, tablor.tex, -</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.html +</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.</span><span class="comment"><span class="flyspell-incorrect">html</span></span><span class="comment"> </span> <span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements : @@ -187,13 +187,13 @@ <span class="font-latex-sedate">\RequirePackage</span>{fancyvrb} <span class="font-latex-sedate">\RequirePackage</span>{ifpdf} -<span class="font-latex-sedate">\fvset</span>{gobble=0} +<span class="font-latex-sedate">\fvset</span>{<span class="flyspell-incorrect">gobble</span>=0} <span class="comment-delimiter">% </span><span class="comment">option xcas present </span> <span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false} -<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}} +<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}} <span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span> @@ -225,7 +225,7 @@ -<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 class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via pdflatex </span> <span class="font-latex-sedate">\ifpdf</span> <span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{mps}{*}{} @@ -239,12 +239,12 @@ -<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers metapost +<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers </span><span class="comment"><span class="flyspell-duplicate">metapost</span></span><span class="comment"> </span> <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp} - <span class="flyspell-duplicate">end</span> + end <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -273,19 +273,19 @@ <span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVn}</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">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>} -<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVnbis</span></span><span class="function-name">}</span> +<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVnbis}</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">\tvbis</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVnbis</span>} <span class="comment-delimiter">%% </span><span class="comment">permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par defaut) -</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques </span><span class="comment"><span class="flyspell-incorrect">verifications</span></span><span class="comment"> : +</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques verifications : </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">\initablor</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]{<span class="comment">% </span><span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nomtravail</span></span><span class="function-name">}</span>{#1}<span class="comment">% Arret du nom des tableaux </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">% Initialisation du compteur de tableaux. -</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option </span><span class="comment"><span class="flyspell-duplicate">XCas</span></span><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 </span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Si Tableaux.mp est present... </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">\nomtravail</span>.Tab.mp}}<span class="comment">% le detruire </span> {}<span class="comment">% @@ -296,18 +296,18 @@ </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode <span class="font-latex-sedate">\nomtravail</span>.Tab}}<span class="comment">% l'executer pour reconstituer les figures </span>{<span class="font-latex-sedate">\PackageWarning</span>{tablor}{Pas de source metapost pour creer les tableaux.}}<span class="comment">% sinon message d'erreur </span> <span class="comment">% (mais pas d'arret car les tableaux -</span> <span class="comment">% peuvent être </span><span class="comment"><span class="flyspell-incorrect">presents</span></span><span class="comment"> ) +</span> <span class="comment">% peuvent être presents ) </span>}}<span class="comment">% </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">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">giac</span> #1 }}<span class="comment">% -</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac <#1 }}} +</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{<span class="flyspell-duplicate">giac</span> <#1 }}} <span class="font-latex-sedate">\makeatother</span> @@ -331,19 +331,19 @@ TV(L,F,nom,nomv,f,ftt,trigo,nmr):={ nl:=size(L); f:=unapply(f,x); -<span class="flyspell-duplicate">fp</span>:=function_diff(f); +fp:=function_diff(f); Z:=concat(L,F); S:=[]; if(trigo==t){ -<span class="flyspell-duplicate">all</span>_trig_solutions:=1; -reset_solve_counter(-1,-1); +all_trig_solutions:=1; +<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1); SS:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ m:=0; -<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ +while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1; };m:=-1; while(evalf(subst(SS[k],n_1=m))>=L[0]){ @@ -359,10 +359,10 @@ S:=solve(fp(x),x); qq:=member(simplify(S[j]),Z)==0; kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); if(kk==1){if(qq==1){Z:=append(Z,simplify(S[j]))}}; - <span class="flyspell-duplicate">fpour</span> + fpour fsi; Z:=sort(Z); -nz:=size(Z); +<span class="flyspell-duplicate">nz</span>:=size(Z); tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z); @@ -382,19 +382,19 @@ nz:=size(Z); Z:=sort(Z); nz:=size(Z); - si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1; + 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:=" "; 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(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); - kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1)); + kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ @@ -428,14 +428,14 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity; "}}} }; } -lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; +lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; -<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ +lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} - else{"limGauche(btex <span class="font-latex-math">$"+ + else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; @@ -513,7 +513,7 @@ fprint(sortie,Unquoted,MetaLfc); <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">TVPC : pour les fonctions prolongeables par </span><span class="comment"><span class="flyspell-duplicate">continuit</span></span><span class="comment">é. +</span><span class="comment-delimiter">% </span><span class="comment">TVPC : pour les fonctions prolongeables par continuité. </span><span class="comment-delimiter">%%</span><span class="comment"> </span><span class="comment-delimiter">%%</span><span class="comment"> </span> @@ -532,7 +532,7 @@ S:=[]; if(trigo==t){ all_trig_solutions:=1; -<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1); +reset_solve_counter(-1,-1); SS:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ @@ -560,7 +560,7 @@ nz:=size(Z); tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z); - <span class="flyspell-duplicate">ftantque</span>; + ftantque; @@ -571,7 +571,7 @@ nz:=size(Z); si size(S)>0 alors pour j de 0 jusque size(S)-1 faire kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); if(kk==1){Z:=append(Z,simplify(S[j]))}; - <span class="flyspell-duplicate">fpour</span> + fpour fsi; Z:=sort(Z); @@ -590,7 +590,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); -<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],FP)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ @@ -601,7 +601,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0; if(ksp==1){"plus;"}else{"moins;"} }; } -</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre; +lsf:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre; "} lm0:=limit(f(x),x=Z[0],1)==-infinity; li:=lvic+nom+"}$</span> etex);"+ @@ -622,16 +622,16 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity; "}}} }; } -lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; +lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ - if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+ + if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}; + if(kz==1){"1);"}else{"0);"}}; @@ -639,15 +639,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ MetaLfc:=if(ftt==2){if(nz>2){" -<span class="flyspell-duplicate">beginTableau</span>("+nmr+")"+ +beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" endTableau; ";}else{ -intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ +intro+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; "; } @@ -657,32 +657,32 @@ li+ lp+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ li+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ l0+ -<span class="flyspell-duplicate">lsi</span>+lsp+lsf+ +lsi+lsp+lsf+ li+ lp+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ lsi+lsf+ li+ -<span class="flyspell-duplicate">lf</span> +lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} }} @@ -714,12 +714,12 @@ fclose(sortie); </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>{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.cxx} -TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={ -nl:=size(L); -nf:=size(FF); +<span class="flyspell-duplicate">TVZ</span>(L,F,FF,nom,<span class="flyspell-duplicate">nomv</span>,f,ftt,trigo,nmr):={ +<span class="flyspell-duplicate">nl</span>:=size(L); +nf:=size(<span class="flyspell-duplicate">FF</span>); Ff:=NULL;IMIN:=NULL;IMAX:=NULL; for(k:=0;k<nf;k++){ if(FF[k][0]>L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]}; @@ -728,9 +728,9 @@ if(FF[k][1]<L[1]){Imax[k]:=FF[k][1];LL:=L}else{Imax[k]:=L[1];LL:=[L[0]]}; IMIN:=IMIN,Imin[k]; IMAX:=IMAX,Imax[k]; } - FF:=[Ff]; - IMIN:=[IMIN]; - IMAX:=[IMAX]; + FF:=[<span class="flyspell-duplicate">Ff</span>]; + IMIN:=[<span class="flyspell-duplicate">IMIN</span>]; + IMAX:=[<span class="flyspell-duplicate">IMAX</span>]; f:=unapply(f,x); fp:=function_diff(f); Z:=concat(LL,F); @@ -743,13 +743,13 @@ S:=[]; if(trigo==t){ -all_trig_solutions:=1; +<span class="flyspell-duplicate">all</span>_trig_solutions:=1; reset_solve_counter(-1,-1); -<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x); +SS:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ m:=0; -while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ +<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1; };m:=-1; while(evalf(subst(SS[k],n_1=m))>=L[0]){ @@ -767,7 +767,7 @@ S:=solve(fp(x),x); si size(S)>0 alors pour j de 0 jusque size(S)-1 faire for(k:=0;k<nf;k++){ - kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[<span class="flyspell-duplicate">nl</span>-1])); + kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); kK:=(evalf(S[j])<evalf(Imin[k])) or (evalf(S[j])>evalf(Imax[k])); Kk:=(kk) and kK; if(Kk==1){Z:=append(Z,simplify(S[j]))}; @@ -783,7 +783,7 @@ 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; <span class="flyspell-duplicate">fpour</span>; nz:=size(Z); @@ -797,14 +797,14 @@ for(j:=0;j<nf;j++){ 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])+"$</span> <span class="flyspell-duplicate">etex</span>); ";fpour; k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1)); -lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ 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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ +if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }}} @@ -812,23 +812,23 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; - lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{ - if(member(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){"finNonDef;"+ - if(ksp==1){"plus;"}else{"moins;"}}else{ - if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ + lsp:=lsp+if(member(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMIN</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDef</span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDefStrict</span></span><span class="font-latex-math">;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{ + if(</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">finNonDefStrict</span></span><span class="font-latex-math">;"}+ + if(ksp==1){"plus;"}else{"moins;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{ + if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"nonDefBarre;"}+ if(ksp==1){"plus;"}else{"moins;"} }}}}; -lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"nonDefBarre; +</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span></span><span class="font-latex-math">;"}}else{if(member(Z[nz-1],F)==0){""}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">; "}} -lm0:=limit(f(x),x=Z[0],1)==-infinity; +</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">; li:=lvic +nom+"}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"} - else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+ + else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+ if(k0==1){"1"}else{"0"}+ ");"; @@ -838,51 +838,50 @@ if(nz>2){ krp:=evalf(limit(f(x),x=Z[r],1))> evalf(limit(f(x),x=Z[r+1],-1)) ; lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity; - lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){ + lp:=<span class="flyspell-duplicate">lp</span>+if(<span class="flyspell-duplicate">member</span>(Z[r],<span class="flyspell-duplicate">IMIN</span>)!=0){"<span class="flyspell-duplicate">limGauche</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrm==1){ "-\\infty"}else{ latex(simplify(limit(f(x),x=Z[r],-1)))} - +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){ - "1);"}else{"0);"} - +"debutNonDef;" - }//fsi Zr=Imin - else{ - if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ + +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krm</span>==1){ + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} + +if(member(Z[r],F)==0){"<span class="flyspell-duplicate">debutNonDef</span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">debutNonDefStrict</span>;"} + }//<span class="flyspell-duplicate">fsi</span> <span class="flyspell-duplicate">Zr</span>=<span class="flyspell-duplicate">Imin</span> + <span class="flyspell-duplicate">else</span>{ + if (member(Z[r],<span class="flyspell-duplicate">IMAX</span>)!=0){if(member(Z[r],F)==0){"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span>;"}+"<span class="flyspell-duplicate">limDroite</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp==1){ "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))} - +"$</span> etex,"+if(krp==1){ - "1);"}else{"0);"} - } - else { - if(member(Z[r],F)){ - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){ + +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krp</span>==1){ + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} + }<span class="flyspell-duplicate">else</span>{ + if(<span class="flyspell-duplicate">member</span>(Z[r],F)){ + "<span class="flyspell-duplicate">limGauche</span>(btex <span class="font-latex-math">$"+if(lmrm==1){ "-\\infty"}else{ latex(simplify(limit(f(x),x=Z[r],-1)))} - +"$</span> etex,"+if(krm==1){ - "1);"}else{"0);"} - +"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ + +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){ + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} + +"<span class="flyspell-duplicate">nonDefBarre</span>;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){ "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))} - +"$</span> etex,"+if(krp==1){ - "1);"}else{"0);"} - }//fsi (member Zr F) - else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>etex,"+ + +"$</span> etex,"+if(<span class="flyspell-duplicate">krp</span>==1){ + "1);"}<span class="flyspell-duplicate">else</span>{"0);"} + }//<span class="flyspell-duplicate">fsi</span> (member Zr F) + else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span><span class="flyspell-duplicate">etex</span>,"+ if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){ "0.5);"}<span class="flyspell-duplicate">else</span>{ - if(krp==1){ - "1);"}else{"0);"}//felse(krp) - }//felse(valpos) + if(<span class="flyspell-duplicate">krp</span>==1){ + "1);"}else{"0);"}//felse(<span class="flyspell-duplicate">krp</span>) + }//felse(<span class="flyspell-incorrect">valpos</span>) }//felse(member Zr F) - } //felse(Zr=Imax) + } //felse(Zr=<span class="flyspell-duplicate">Imax</span>) }//felse(Zr=<span class="flyspell-duplicate">Imin</span>) - };//ffor - }//fsi nz + };//<span class="flyspell-incorrect">ffor</span> + }//fsi <span class="flyspell-duplicate">nz</span> -lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; +<span class="flyspell-duplicate">lnz</span>:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; -lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ +<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(kz==1){"1);"}else{"0);"}} - else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ + if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} + else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; @@ -890,14 +889,14 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ -MetaLfc:=if(ftt==2){if(nz>2){" +MetaLfc:=if(ftt==2){if(<span class="flyspell-duplicate">nz</span>>2){" beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" <span class="flyspell-duplicate">endTableau</span>; ";}else{ -intro+"beginTableau("+nmr+")"+ +<span class="flyspell-duplicate">intro</span>+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" <span class="flyspell-duplicate">endTableau</span>; @@ -908,7 +907,7 @@ lsi+lsf+" l0+ li+ lp+ -lf +<span class="flyspell-duplicate">lf</span> +" <span class="flyspell-duplicate">endTableau</span>; @@ -959,7 +958,7 @@ fclose(sortie); </span> -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.<span class="flyspell-duplicate">cxx</span>} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.cxx} @@ -972,7 +971,7 @@ TVapp(L,F,nom,nomv,f,ftt,nmr):={ nl:=size(L); f:=unapply(f,x); -<span class="flyspell-duplicate">fp</span>:=function_diff(f); +fp:=function_diff(f); z0:=concat(L,F);z:=sort(z0); nz:=size(z); @@ -983,7 +982,7 @@ nz:=size(z); S:=NULL; if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for} -<span class="flyspell-duplicate">else</span>{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for} +else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for} else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;} else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for; }}}; @@ -995,7 +994,7 @@ 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,simplify(S[j]))}}; fpour; -<span class="flyspell-duplicate">fsi</span>; +fsi; S:=NULL; @@ -1020,7 +1019,7 @@ Z:=[S]; 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> <span class="flyspell-duplicate">etex</span>); +pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); ";fpour; k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); @@ -1037,7 +1036,7 @@ 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{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">; +lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; "} lm0:=limit(f(x),x=Z[0],1)==-infinity; li:=lvic+nom+"}$</span> etex);"+ @@ -1050,35 +1049,35 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity; krp:=evalf(limit(f(x),x=Z[r],1))> evalf(limit(f(x),x=Z[r+1],-1)) ; lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity; lp:=lp+if(member(Z[r],F)){ - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{latex(simplify(limit(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(simplify(limit(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(simplify(limit(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(simplify(limit(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span> etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0); "}}} }; } -lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; +lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} - else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ + else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; -<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz>2){" +MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; "; } @@ -1086,7 +1085,7 @@ lsi+lsf+" l0+ li+ lp+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; @@ -1103,7 +1102,7 @@ if(nz>2){"beginTableau("+nmr+")"+ lsi+lsp+lsf+ li+ lp+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; @@ -1113,7 +1112,7 @@ lsi+lsf+ li+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} }} @@ -1142,14 +1141,14 @@ fclose(sortie); <span class="comment-delimiter">%%</span><span class="comment"> </span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de Variations avec -</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs </span><span class="comment"><span class="flyspell-incorrect">intermediaires</span></span><span class="comment"> +</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs intermediaires </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>{XcasTVI.<span class="flyspell-duplicate">cxx</span>} +<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,trigo,nmr):={ @@ -1218,10 +1217,10 @@ if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(L if(PB[k]==1){if(TestS==0){ 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}}; +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>);" + l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);" }; @@ -1230,7 +1229,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))= k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); -<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ @@ -1245,27 +1244,27 @@ if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(evalf(sign(LL[r 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 $</span> <span class="font-latex-math">$ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "}; }} -</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0); +else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0); - if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+ + if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex $</span> <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;} - else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+ - if(kspp==1){"plus;"}else{"moins;"};rr:=</span><span class="font-latex-math"><span class="flyspell-duplicate">rr</span></span><span class="font-latex-math">+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{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"} + lsf:=if(member(Z[nz-1],F)==0){" "}else{"nonDefBarre;"} -lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">; +lm0:=limit(f(x),x=Z[0],1)==-infinity; -TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0); +TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0); li:=lvic+nom+"}$</span> etex); "+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"} @@ -1290,35 +1289,35 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))= lmrm:=limit(f(x),x=Z[rr],-1)==-infinity;lmrp:=limit(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1])); if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){ - "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(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(simplify(limit(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(simplify(limit(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(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span> - etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span> + etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5); ";rr:=rr+1; }// testS==0 -<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){ +else{lp:=lp+if(member(Z[rr],F)){ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(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(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span> - etex,"+if(evalf(sign(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0); + etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0); "}}};rr:=rr+1; }//else testS==0 }//PB[r]==1 }//for nz<NL -}// else nz<<span class="flyspell-duplicate">NL</span> +}// else nz<NL //if nz=NL -};//if <span class="flyspell-duplicate">nz</span>>2 +};//if nz>2 -lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; +lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} + if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; + if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; @@ -1326,15 +1325,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ -MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ +MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" endTableau; -";}<span class="flyspell-duplicate">else</span>{ +";}else{ "beginTableau("+nmr+")"+ l0+ -<span class="flyspell-duplicate">lsi</span>+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +lsi+lsf+" +endTableau; "; } @@ -1343,33 +1342,33 @@ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+ l0+ li+ lp+ -<span class="flyspell-duplicate">lf</span> +lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ li+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; ";}}else{ -if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ +if(nz>2){"beginTableau("+nmr+")"+ l0+ lsi+lsp+lsf+ li+ lp+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ lsi+lsf+ li+ -<span class="flyspell-duplicate">lf</span> +lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} }}; @@ -1381,7 +1380,7 @@ li+ sortie:=fopen("XCasmpfc.mp"); -<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc); +fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -1405,9 +1404,6 @@ fclose(sortie); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.<span class="flyspell-duplicate">cxx</span>} - - <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):={ @@ -1635,13 +1631,13 @@ 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>; ";} }}; @@ -1668,7 +1664,7 @@ fclose(sortie); <span class="comment-delimiter">%%</span><span class="comment"> -</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes parametrees +</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes </span><span class="comment"><span class="flyspell-duplicate">parametrees</span></span><span class="comment"> </span><span class="comment-delimiter">%%</span><span class="comment"> </span> @@ -1678,7 +1674,7 @@ fclose(sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVP.cxx} -TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={ +<span class="flyspell-duplicate">TVP</span>(L,F,nom,nomv,ff,ftt,trigo,nmr):={ //local Z,LLL,FFF,nl,fp,f,S,d,t,ns,k,m,x,j,kk,nz,u,l0; nl:=size(L); fp:=[]; @@ -1689,20 +1685,20 @@ LLL:=[]; all_trig_solutions:=1; -reset_solve_counter(-1,-1); +reset_solve_<span class="flyspell-duplicate">counter</span>(-1,-1); for(d:=0;d<=1;d++){ f:=subst(f,f[d]=unapply(f[d],t)); fp:=append(fp,function_diff(f[d])); LLL:=concat(L,F[d]); Z:=LLL union Z; -SS:=solve(factor(simplify(fp[d](t))),t); +<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp[d](t))),t); ns:=size(SS); for(k:=0;k<ns;k++){ if(trigo==t){ m:=0; -while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ +<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1; @@ -1713,7 +1709,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1; } }else{ -S:=concat(S,SS); +S:=concat(S,<span class="flyspell-duplicate">SS</span>); } } @@ -1729,7 +1725,7 @@ nz:=size(Z); tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z); - ftantque; + <span class="flyspell-duplicate">ftantque</span>; @@ -1741,7 +1737,7 @@ u:=1; Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z); ftantque; u:=u+1; - ftantque; + <span class="flyspell-duplicate">ftantque</span>; }; @@ -1755,7 +1751,7 @@ nz:=size(Z); pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); ";fpour; - lsi:="",""; + <span class="flyspell-duplicate">lsi</span>:="",""; FFF:=[[],[]]; @@ -1765,7 +1761,7 @@ FFF[d]:=concat(F[d],[-infinity,+infinity]); kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))> evalf(limit(f[d](x),x=Z[nz-2],1)); //} //<span class="font-latex-math">$ - lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre; + lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>; "}}+ if(Z[0]==-infinity){if(sign(evalf(fp[d](if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F[d])==0){ if(sign(fp[d](Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{ @@ -1776,7 +1772,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp[d](Z[r]+0.01))>0; if(ksp==1){"plus;"}else{"moins;"} }; } -lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}} +lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}} @@ -1802,10 +1798,10 @@ for(d:=0;d<=1;d++){ //{ //<span class="font-latex-math">$ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity; - li[d]:=lvic+nom[d]+"}$</span> etex);"+ + li[d]:=lvic+nom[d]+"}$</span> <span class="flyspell-duplicate">etex</span>);"+ if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+ - if(K0[d]==1){"1"}else{"0"}+ + if(K0[d]==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+ ");"; if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))< evalf(limit(f[d](x),x=Z[r],-1)); @@ -1814,21 +1810,21 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity; lp[d]:=lp[d]+if(member(Z[r],F[d])){ "limGauche(btex <span class="font-latex-math">$"+if(lmrm[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],-1)))}+"$</span> - etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}} + etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f[d](Z[r])))+"$</span> - etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0); + etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0); "}}} }; } lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity; -lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+ +lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+ if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(Kz[d]==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; + if(Kz[d]==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; @@ -1848,13 +1844,13 @@ MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ lsi[0]+lsf[0]+lsi[1]+lsf[1]+" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; "; } @@ -1865,18 +1861,18 @@ lp[0]+ lf[0]+ li[1]+ lp[1]+ -lf[1] +<span class="flyspell-duplicate">lf</span>[1] +" endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ li[0]+ -lf[0]+ +<span class="flyspell-duplicate">lf</span>[0]+ li[1]+ lf[1] +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}}else{ if(nz>2){"beginTableau("+nmr+")"+ @@ -1884,24 +1880,24 @@ if(nz>2){"beginTableau("+nmr+")"+ lsi[0]+lsp[0]+lsf[0]+ li[0]+ lp[0]+ -lf[0]+ +<span class="flyspell-duplicate">lf</span>[0]+ lsi[1]+lsp[1]+lsf[1]+ li[1]+ lp[1]+ lf[1] +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";}else{"beginTableau("+nmr+")"+ l0+ lsi[0]+lsf[0]+ li[0]+ -lf[0]+ +<span class="flyspell-duplicate">lf</span>[0]+ lsi[1]+lsf[1]+ li[1]+ lf[1] +" -endTableau; +<span class="flyspell-duplicate">endTableau</span>; ";} } @@ -2707,7 +2703,7 @@ read("XCasTVP.user"); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac} +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasTVZ</span>.giac} maple_mode(0); read("config.cxx"); read("XcasTVZ.cxx"); |