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authorKarl Berry <karl@freefriends.org>2009-05-16 18:56:14 +0000
committerKarl Berry <karl@freefriends.org>2009-05-16 18:56:14 +0000
commit64af07dd2e1f98360294c12eab5db723fccb13b4 (patch)
tree5da6d64f8cc23f7d3b2a9f3d32e970abe8b7c728
parent093e62dd5e34a8c932b37eeec419a37cae5560f0 (diff)
tablor 4.04-g (14may09)
git-svn-id: svn://tug.org/texlive/trunk@13125 c570f23f-e606-0410-a88d-b1316a301751
Diffstat
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html372
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty90
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor.sty45
3 files changed, 255 insertions, 252 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 50dfc3084de..74c0c505ef4 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>}[19/04/2009 v4.04-d la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[14/05/2009 v4.04-f 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
@@ -132,7 +132,7 @@
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVZ}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs </span><span class="comment"><span class="flyspell-duplicate">intermediares</span></span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs intermediares
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVI}
</span><span class="comment-delimiter">%</span><span class="comment">TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,n,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVI}
@@ -190,11 +190,11 @@
</span>
<span class="font-latex-sedate">\RequirePackage</span>{filecontents}
-<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">ifthen</span>}
+<span class="font-latex-sedate">\RequirePackage</span>{ifthen}
<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
-<span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
+<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>}
-<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 </span><span class="comment"><span class="flyspell-duplicate">present</span></span><span class="comment">
</span>
@@ -208,21 +208,21 @@
-<span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix </span><span class="comment"><span class="flyspell-incorrect">d'OS</span></span><span class="comment">
-</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{false}
+<span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix d'OS
+</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>}
<span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier exterieur pour la plateforme
-</span><span class="comment-delimiter">%% </span><span class="comment">et </span><span class="comment"><span class="flyspell-duplicate">l'editeur</span></span><span class="comment">
+</span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur
</span>
-<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.cfg}}
+<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}}
</span>
<span class="comment-delimiter">%% </span><span class="comment">Definit des commandes disque selon l'OS utilise
-</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">%
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
</span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{DEL } <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{TYPE }
- <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{COPY }}<span class="comment">%
+ <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-incorrect">COPY</span> }}<span class="comment">%
</span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{rm }<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{cat }
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cp</span> }}
@@ -232,7 +232,7 @@
-<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}{*}{}
@@ -246,12 +246,12 @@
-<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.<span class="flyspell-duplicate">mp</span>}
+ <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp}
- end
+ <span class="flyspell-duplicate">end</span>
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -264,7 +264,7 @@
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nettoyer</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]<span class="comment">%
-</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log queue.mp enteteMP.cfg session.tex config.cxx}
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log queue.mp enteteMP.cfg session.tex config.<span class="flyspell-duplicate">cxx</span>}
}
@@ -286,7 +286,7 @@
<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 verifications :
+</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="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">%
@@ -294,16 +294,16 @@
</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 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="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 </span><span class="comment"><span class="flyspell-incorrect">detruire</span></span><span class="comment">
</span> {}<span class="comment">%
-</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'ent&#234;te de Tableaux.mp
+</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'ent&#234;te de Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment">
</span>}
{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Sans l'option XCas, si
</span> <span class="comment">% Tableaux.mp existe
</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 &#234;tre presents )
+</span> <span class="comment">% peuvent &#234;tre </span><span class="comment"><span class="flyspell-incorrect">presents</span></span><span class="comment"> )
</span>}}<span class="comment">%
</span>
@@ -313,7 +313,7 @@
<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{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="comment">%
</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac &lt;#1 }}}
<span class="font-latex-sedate">\makeatother</span>
@@ -335,22 +335,22 @@
</span>
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.cxx}
-TV(L,F,nom,nomv,f,ftt,trigo,nmr):={
-nl:=size(L);
+<span class="flyspell-duplicate">TV</span>(L,F,nom,nomv,f,ftt,trigo,nmr):={
+<span class="flyspell-duplicate">nl</span>:=size(L);
f:=unapply(f,x);
-fp:=function_diff(f);
+<span class="flyspell-duplicate">fp</span>:=function_diff(f);
Z:=concat(L,F);
S:=[];
if(trigo==t){
-all_trig_solutions:=1;
+<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
reset_solve_counter(-1,-1);
SS:=solve(factor(simplify(fp(x))),x);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=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))&gt;=L[0]){
@@ -373,7 +373,7 @@ 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>;
@@ -385,7 +385,7 @@ nz:=size(Z);
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
if(kk==1){Z:=append(Z,simplify(S[j]))};
fpour
- fsi;
+ <span class="flyspell-duplicate">fsi</span>;
Z:=sort([op(set[op(Z)])]);
@@ -398,7 +398,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
-lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+<span class="flyspell-duplicate">lsi</span>:=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){
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;"+
@@ -411,7 +411,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))&gt;0;
lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
"}
-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)==-infinity;
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)))}+"$</span> etex,"}+
@@ -430,7 +430,7 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
"}}}
}; }
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
@@ -438,24 +438,24 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
- if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
-MetaLfc:=if(ftt==2){if(nz&gt;2){"
+<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz&gt;2){"
beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{
intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";
}
@@ -463,7 +463,7 @@ endTableau;
l0+
li+
lp+
-lf
+<span class="flyspell-duplicate">lf</span>
+"
endTableau;
@@ -480,7 +480,7 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi+lsp+lsf+
li+
lp+
-lf
+<span class="flyspell-duplicate">lf</span>
+"
endTableau;
@@ -490,13 +490,13 @@ lsi+lsf+
li+
lf
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}
}}
-sortie:=fopen("XCasmpfc.mp");
+sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -685,7 +685,7 @@ endTableau;
}}
-sortie:=fopen("XCasmpfc.mp");
+sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -929,7 +929,7 @@ endTableau;
}}
-sortie:=fopen("XCasmpfc.mp");
+sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -969,7 +969,7 @@ nz:=size(z);
-S:=op(fsolve(fp(x),x));
+S:=op(<span class="flyspell-duplicate">fsolve</span>(fp(x),x));
if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
for k in j do for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
@@ -991,7 +991,7 @@ si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
fpour;
-<span class="flyspell-duplicate">fsi</span>;
+fsi;
S:=NULL;
@@ -1022,7 +1022,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
-<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ 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],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;"+
@@ -1033,7 +1033,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
"}
lm0:=limit(f(x),x=Z[0],1)==-infinity;
li:=lvic+nom+"}$</span> etex);"+
@@ -1052,15 +1052,15 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
"}}}
}; }
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ if(kz==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
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;"}};
@@ -1068,30 +1068,30 @@ MetaLfc:=if(ftt==2){if(nz&gt;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;
";
}
}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
lf
+"
endTableau;
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
l0+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}}else{
if(nz&gt;2){"beginTableau("+nmr+")"+
@@ -1099,17 +1099,17 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi+lsp+lsf+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}}
@@ -1117,7 +1117,7 @@ lf
sortie:=fopen("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+fclose(sortie);
}:;
@@ -1138,14 +1138,14 @@ fprint(sortie,Unquoted,MetaLfc);
<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):={
@@ -1159,7 +1159,7 @@ S:=[];
if(trigo==t){
all_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&lt;ns;k++){
m:=0;
@@ -1175,7 +1175,7 @@ S:=solve(fp(x),x);
}
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
- kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[<span class="flyspell-duplicate">nl</span>-1]));
+ kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
if(kk==1){Z:=append(Z,simplify(S[j]))};
fpour
fsi;
@@ -1186,7 +1186,7 @@ Z:=sort([op(set[op(Z)])]);
nz:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
@@ -1203,7 +1203,7 @@ if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
NL:=size(LL);
A:=NULL;aa:=1;
-<span class="flyspell-duplicate">kk</span>:=0;
+kk:=0;
@@ -1215,7 +1215,7 @@ if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(L
if(PB[k]==1){if(TestS==0){
A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+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])+"$</span> etex);"
@@ -1223,7 +1223,7 @@ else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> et
};
-TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-<span class="flyspell-duplicate">ao</span>))==0.0) or (evalf(sign(LL[1]-ao))==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);
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
@@ -1242,22 +1242,22 @@ if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=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&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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);
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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{"nonDefBarre;"}+
- 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;}
+ 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;
@@ -1287,35 +1287,35 @@ 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+" $</span> etex,0.5);
";rr:=rr+1;
}// testS==0
else{lp:=lp+if(member(Z[rr],F)){
"limGauche(btex <span class="font-latex-math">$"+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])))+"$</span>
- etex,"+if(evalf(sign(fp(Z[<span class="flyspell-duplicate">rr</span>]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=rr+1;
}//else testS==0
}//PB[r]==1
}//for nz&lt;NL
-}// else nz&lt;<span class="flyspell-duplicate">NL</span>
+}// else nz&lt;NL
//if nz=NL
};//if nz&gt;2
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
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)))}+"$</span> etex,"+
- if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
+ if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
@@ -1323,14 +1323,14 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
-MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
endTableau;
";}else{
"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+"
+lsi+lsf+"
endTableau;
";
@@ -1342,12 +1342,12 @@ li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
endTableau;
";}}else{
@@ -1358,7 +1358,7 @@ li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
@@ -1366,7 +1366,7 @@ lsi+lsf+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}};
@@ -1377,8 +1377,8 @@ lf
-sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -1401,24 +1401,24 @@ fclose(sortie);
</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>{XcasTVIex.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIex.cxx}
TVIex(L,F,nom,nomv,f,ftt,ao,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:=[];
Sex:=NULL;
Zex:=solve(f(x)=ao);
-<span class="flyspell-duplicate">Zex</span>:=sort(Zex);
+Zex:=sort(Zex);
for(j:=0;j&lt;size(Zex);j++){
if((evalf(Zex[j])&gt;=evalf(L[0])) and (evalf(Zex[j])&lt;=evalf(L[nl-1]))){Sex:=Sex,Zex[j]};
};
-Sex:=[<span class="flyspell-duplicate">Sex</span>];
+Sex:=[Sex];
@@ -1431,13 +1431,13 @@ if(trigo==t){
all_trig_solutions:=1;
reset_solve_counter(-1,-1);
SS:=solve(factor(simplify(fp(x))),x);
-<span class="flyspell-duplicate">ns</span>:=size(SS);
+ns:=size(SS);
for(k:=0;k&lt;ns;k++){
m:=0;
while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
};m:=-1;
-<span class="flyspell-duplicate">while</span>(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
+while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
}
}
@@ -1457,7 +1457,7 @@ S:=solve(fp(x),x);
nz:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
@@ -1470,11 +1470,11 @@ if(nz&gt;2){ for(r:=1;
if(member(Z[r],F)){PB:=PB,0,1}else{PB:=PB,1};
}
};
-if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];<span class="flyspell-duplicate">PB</span>:=[1,1]};
+if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
NL:=size(LL);
A:=NULL;aa:=0;
-<span class="flyspell-duplicate">kk</span>:=0;
+kk:=0;
@@ -1484,17 +1484,17 @@ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex)
//chgmt NL-&gt;nz
if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[k+1]-ao))) or (evalf(sign(LL[k]-ao))==0.0)or (evalf(sign(LL[k+1]-ao))==0.0);
-if(PB[k]==1){if(<span class="flyspell-duplicate">TestS</span>==0){
+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">$"+latex(simplify(Sex[aa]))+"$</span> etex);";aa:=aa+1;kk:=kk+1}
else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}};
}
- l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"
};
-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 class="flyspell-duplicate">ao</span>))==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);
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
@@ -1507,28 +1507,28 @@ lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
-if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(evalf(sign(LL[r]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
+if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ 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);
ksp:=evalf(fp(Z[r]+0.01))&gt;0;
TestL:=(abs(LL[r])==abs(LL[r+1]));
- lsp:=lsp+if(member(Z[r],F)==0){"valBarre(</span><span class="font-latex-math"><span class="flyspell-duplicate">btex</span></span><span class="font-latex-math"> 0 etex);"}else{"nonDefBarre;"}+
+ 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{" "};
}}
else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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{"nonDefBarre;"}+
- if(kspp==1){"plus;"}else{"moins;"}+"valBarre(</span><span class="font-latex-math"><span class="flyspell-duplicate">btex</span></span><span class="font-latex-math"> $</span> <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+ 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{"nonDefBarre;"}+
- 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;}
+ 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;
@@ -1536,7 +1536,7 @@ lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="fl
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(</span><span class="font-latex-math"><span class="flyspell-duplicate">simplify</span></span><span class="font-latex-math">(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
+"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"}+
if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "};
@@ -1546,7 +1546,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;
lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
lp:=lp+if(member(Z[r],F)) {
- "limGauche(btex <span class="font-latex-math">$"+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])))+"$</span>
etex,"+if(evalf(sign(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(btex
<span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"
@@ -1560,33 +1560,33 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+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+" $</span> etex,0.5);
";rr:=rr+1;
}// testS==0
else{lp:=lp+if(member(Z[rr],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+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])))+"$</span>
- etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=rr+1;
}//else testS==0
}//PB[r]==1
}//for nz&lt;NL
}// else nz&lt;NL
-//if nz=<span class="flyspell-duplicate">NL</span>
+//if nz=NL
};//if nz&gt;2
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(kz==1){"1);"}else{"0);"}}
- else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+ 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);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
+ if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
@@ -1596,48 +1596,48 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{
"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";
}
}else{
-if(ftt==0){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}}else{
if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
lsi+lsp+lsf+
li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
lf
+"
endTableau;
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}};
@@ -1647,7 +1647,7 @@ lf
-sortie:=fopen("XCasmpfc.mp");
+sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -1673,7 +1673,7 @@ fclose(sortie);
<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,<span class="flyspell-duplicate">nmr</span>):={
+TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={
nl:=size(L);
@@ -1688,7 +1688,7 @@ nz:=size(z);
-S:=op(fsolve(fp(x),x));
+S:=op(<span class="flyspell-duplicate">fsolve</span>(fp(x),x));
if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
for k in j do for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
@@ -1972,7 +1972,7 @@ fp:=append(fp,function_diff(f[d]));
LLL:=concat(L,F[d]);
Z:=LLL union Z;
SS:=solve(factor(simplify(fp[d](t))),t);
-ns:=size(SS);
+ns:=size(<span class="flyspell-duplicate">SS</span>);
for(k:=0;k&lt;ns;k++){
if(trigo==t){
@@ -1988,7 +1988,7 @@ 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>);
}
}
@@ -2009,12 +2009,12 @@ nz:=size(Z);
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
u:=1;
tantque (u&lt;nz-2) and (nz&gt;2) faire
tantque evalf(Z[u])==evalf(Z[u+1]) faire
Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
- ftantque;
+ <span class="flyspell-duplicate">ftantque</span>;
u:=u+1;
ftantque;
@@ -2032,12 +2032,12 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+
lsi:="","";
-FFF:=[[],[]];
+<span class="flyspell-duplicate">FFF</span>:=[[],[]];
for(d:=0;d&lt;=1;d++){
FFF[d]:=concat(F[d],[-infinity,+infinity]);
k0:= evalf(limit(f[d](x),x=Z[0],1))&gt; evalf(limit(f[d](x),x=Z[1],-1));
- kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))&gt; evalf(limit(f[d](x),x=Z[nz-2],1));
+ kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))&gt; evalf(limit(f[d](x),x=Z[<span class="flyspell-duplicate">nz</span>-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])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre;
@@ -2051,7 +2051,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp[d](Z[r]+0.01))&gt;0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+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])))+"$</span> etex);"}<span class="flyspell-duplicate">else</span>{if(Z[nz-1]==+infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}}
@@ -2073,37 +2073,37 @@ lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-mat
for(d:=0;d&lt;=1;d++){
K0[d]:= evalf(limit(f[d](x),x=Z[0],1))&gt; evalf(limit(f[d](x),x=Z[1],-1));
- Kz[d]:=evalf(limit(f[d](x),x,Z[nz-1],-1))&gt; evalf(limit(f[d](x),x,Z[nz-2],1));
+ Kz[d]:=evalf(limit(f[d](x),x,Z[nz-1],-1))&gt; evalf(limit(f[d](x),x,Z[<span class="flyspell-duplicate">nz</span>-2],1));
//{
//<span class="font-latex-math">$
lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
li[d]:=lvic+nom[d]+"}$</span> etex);"+
- if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}
+ if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}
else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+
if(K0[d]==1){"1"}else{"0"}+
");";
- if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))&lt; evalf(limit(f[d](x),x=Z[r],-1));
+ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))&lt; <span class="flyspell-duplicate">evalf</span>(limit(f[d](x),x=Z[r],-1));
krp[d]:=evalf(limit(f[d](x),x=Z[r],1))&gt; evalf(limit(f[d](x),x,Z[r+1],-1)) ;
lmrm[d]:=limit(f[d](x),x,Z[r],-1)==-infinity;lmrp[d]:=limit(f[d](x),x,Z[r],1)==-infinity;
lp[d]:=lp[d]+if(member(Z[r],F[d])){
"limGauche(btex
<span class="font-latex-math">$"+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)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}}
+ etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f[d](Z[r])))+"$</span>
etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
"}}}
}; }
-lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
+<span class="flyspell-duplicate">lnz</span>[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(Kz[d]==1){"1);"}else{"0);"}}
+ if(Kz[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
+ if(Kz[d]==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
@@ -2119,17 +2119,17 @@ lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"
-MetaLfc:=if(ftt==2){if(nz&gt;2){"
+<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz&gt;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>;
";
}
@@ -2137,24 +2137,24 @@ endTableau;
l0+
li[0]+
lp[0]+
-lf[0]+
+<span class="flyspell-duplicate">lf</span>[0]+
li[1]+
lp[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{"beginTableau("+nmr+")"+
l0+
li[0]+
lf[0]+
li[1]+
-lf[1]
+<span class="flyspell-duplicate">lf</span>[1]
+"
endTableau;
";}}else{
-if(nz&gt;2){"beginTableau("+nmr+")"+
+if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
l0+
lsi[0]+lsp[0]+lsf[0]+
li[0]+
@@ -2165,7 +2165,7 @@ li[1]+
lp[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{"beginTableau("+nmr+")"+
l0+
@@ -2176,7 +2176,7 @@ lsi[1]+lsf[1]+
li[1]+
lf[1]
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}
}
@@ -2241,7 +2241,7 @@ S:=solve(L[k](x),x);
if(S[j]&gt;mini and S[j]&lt;maxi){Z:=Z,simplify(S[j]);}
fpour;
fsi;
-fpour;
+<span class="flyspell-duplicate">fpour</span>;
@@ -2251,12 +2251,12 @@ Z:=sort(Z);
nz:=size(Z);
- Z:=sort([op(set[op(Z)])]);
+ Z:=sort([op(set[(Z)])]);
nz:=size(Z);
-if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
+if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
for(p:=0;p&lt;=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
@@ -2269,7 +2269,7 @@ if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p
lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"};
-MetaLfc:=" beginTableau("+nmr+")
+</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:=" beginTableau("+nmr+")
newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex);
"+l0+li+ lsic+nomf+"(x)}$</span> etex);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
@@ -2351,7 +2351,7 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.cxx}
-<span class="flyspell-duplicate">TSq</span>(nomf,L,Fo,D,trigo,nmr):={
+TSq(nomf,L,Fo,D,trigo,nmr):={
L:=apply(f-&gt;unapply(f,x),L);
Fo:=apply(f-&gt;unapply(f,x),Fo);
L:=concat(L,Fo);
@@ -2361,7 +2361,7 @@ m:=size(Fo);
F:=NULL;FF:=NULL;
mini:=D[0]; maxi:=D[1];
S:=[];
-<span class="flyspell-duplicate">SF</span>:=[];
+SF:=[];
pour k de 0 jusque n-1 faire
@@ -2369,7 +2369,7 @@ pour k de 0 jusque n-1 faire
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(L[k](x))),x);
ns:=size(SS);
for(j:=0;j&lt;ns;j++){
@@ -2383,7 +2383,7 @@ S:=concat(S,simplify(subst(SS[j],n_1=mm)));mm:=mm-1;
}
}else{
-S:=<span class="flyspell-duplicate">concat</span>(S,<span class="flyspell-duplicate">solve</span>(L[k](x),x));
+S:=concat(S,solve(L[k](x),x));
}
@@ -2392,7 +2392,7 @@ S:=<span class="flyspell-duplicate">concat</span>(S,<span class="flyspell-duplic
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
if(S[j]&gt;mini and S[j]&lt;maxi){Z:=Z,simplify(S[j]);}
- <span class="flyspell-duplicate">fpour</span>;
+ fpour;
fsi;
<span class="flyspell-duplicate">fpour</span>;
@@ -2402,29 +2402,29 @@ pour k de 0 jusque m-1 faire
if(trigo==t){
-<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
-<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
+all_trig_solutions:=1;
+reset_solve_counter(-1,-1);
SSF:=solve(factor(simplify(Fo[k](x))),x);
-<span class="flyspell-duplicate">nsf</span>:=size(SSF);
+nsf:=size(SSF);
for(j:=0;j&lt;nsf;j++){
mm:=0;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SSF[j],n_1=mm)))&lt;=evalf(maxi)){
-<span class="flyspell-duplicate">SF</span>:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm+1;
+while(evalf(simplify(subst(SSF[j],n_1=mm)))&lt;=evalf(maxi)){
+SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm+1;
};mm:=-1;
-<span class="flyspell-duplicate">while</span>(evalf(subst(SSF[j],n_1=mm))&gt;=evalf(mini)){
+while(evalf(subst(SSF[j],n_1=mm))&gt;=evalf(mini)){
SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
}
}
}else{
-<span class="flyspell-duplicate">SF</span>:=<span class="flyspell-duplicate">concat</span>(<span class="flyspell-duplicate">SF</span>,<span class="flyspell-duplicate">solve</span>(<span class="flyspell-duplicate">Fo</span>[k](x),x));
+SF:=concat(SF,solve(Fo[k](x),x));
}
si size(SF)&gt;0 alors pour j de 0 jusque size(SF)-1 faire
FF:=FF,simplify(SF[j]);
if(SF[j]&gt;mini and SF[j]&lt;maxi){F:=F,simplify(SF[j]);}
fpour;
- <span class="flyspell-duplicate">fsi</span>;
+ fsi;
<span class="flyspell-duplicate">fpour</span>;
@@ -2436,7 +2436,7 @@ Z:=sort([op(set[op(Z)])]);
nz:=size(Z);
-if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
+if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
for(p:=0;p&lt;=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
@@ -2451,9 +2451,9 @@ if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p
-</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:="
-</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+nmr+")
-newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ </span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">);
+MetaLfc:="
+beginTableau("+nmr+")
+newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex);
"+l0+li+
lsic+nomf+"(x)}$</span> etex);"+
if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ lf+
@@ -2466,13 +2466,13 @@ endTableau;
-}<span class="flyspell-duplicate">else</span>{
+}else{
l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
";fpour;
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){lp:="";
@@ -2485,7 +2485,7 @@ for(p:=0;p&lt;=n-1;p++){lp:="";
li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
- "}+if(maxi!=+infinity and L[p](</span><span class="font-latex-math"><span class="flyspell-duplicate">maxi</span></span><span class="font-latex-math">)==0){"</span><span class="font-latex-math"><span class="flyspell-duplicate">valBarre</span></span><span class="font-latex-math">(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{" "}
+ "}+if(maxi!=+infinity and L[p](maxi)==0){"valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{" "}
};
@@ -2493,18 +2493,18 @@ for(p:=0;p&lt;=n-1;p++){lp:="";
pour t de 0 jusque nz-2 faire
lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}
- </span><span class="font-latex-math"><span class="flyspell-duplicate">fpour</span></span><span class="font-latex-math">
+ fpour
</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:="
-</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+</span><span class="font-latex-math"><span class="flyspell-duplicate">nmr</span></span><span class="font-latex-math">+")
-newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ </span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">);
+</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+nmr+")
+newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex);
"+l0+
li
+
- </span><span class="font-latex-math"><span class="flyspell-duplicate">lsic</span></span><span class="font-latex-math">+</span><span class="font-latex-math"><span class="flyspell-duplicate">nomf</span></span><span class="font-latex-math">+"(x)}$</span> etex);"+
+ lsic+nomf+"(x)}$</span> etex);"+
if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+
if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
@@ -2544,17 +2544,17 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSigna.cxx}
-TSa(a,b,c,d,nmr):={
+<span class="flyspell-duplicate">TSa</span>(a,b,c,d,nmr):={
zA:=solve(a*x+b=0,x)[0];
zB:=solve(c*x+d=0,x)[0];
zmin:=min(zA,zB);
-zmax:=max(zA,<span class="flyspell-duplicate">zB</span>);
- Meta:= "
+zmax:=max(zA,zB);
+ <span class="flyspell-duplicate">Meta</span>:= "
beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex);
val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex);
val(btex <span class="font-latex-math">$"+latex(zmax)+"$</span>etex);
-val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>);
+val(btex <span class="font-latex-math">$+\\infty$</span> etex);
"+lsic+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}<span class="font-latex-math">$ etex);"
+ if(a&gt;0){"moins;"}else{"plus;"}+
if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+
@@ -2566,8 +2566,8 @@ val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-d
+ if(c&gt;0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
- else{si c&gt;0 alors "moins;"; sinon "plus;"; <span class="flyspell-duplicate">fsi</span>}+
- if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
+ else{si c&gt;0 alors "moins;"; sinon "plus;"; fsi}+
+ if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
if(c&gt;0){"plus;"}else{"moins;"}
+lsic+"{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}<span class="font-latex-math">$ etex);"
@@ -2582,7 +2582,7 @@ endTableau;
-sortie:=fopen("XCasmpfc.mp");
+sortie:=</span><span class="font-latex-math"><span class="flyspell-duplicate">fopen</span></span><span class="font-latex-math">("XCasmpfc.mp");
fprint(sortie,Unquoted,Meta);
fclose(sortie);
@@ -2644,7 +2644,7 @@ lf:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0)
valBarre(btex 0 etex);"}else{"
"}};
}
-else{pour j de 0 jusque size(S)-1 faire
+<span class="flyspell-duplicate">else</span>{pour j de 0 jusque size(S)-1 faire
if(S[j]&gt;mini and S[j]&lt;maxi){Z:=Z,simplify(S[j])};
fpour;
@@ -2667,7 +2667,7 @@ lf:=if(maxi!=+infinity and f(maxi)==0){"
}else{
l0:="val(btex <span class="font-latex-math">$"+latex(Z[0])+"$</span> etex);";li:=" ";
-pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
+pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
";
fpour;
@@ -2685,7 +2685,7 @@ if(f((Z[r+1]-1))&gt;0){"plus;"}else{"moins;"}
}}else{" "};
lf:=if(f(Z[nz-2]+0.1)&gt;0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){"
- "}else{"nonDefBarre;"}
+ "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}
};
}};
@@ -2709,7 +2709,7 @@ endTableau;
sortie:=fopen("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
-fclose(sortie);
+</span><span class="font-latex-math"><span class="flyspell-duplicate">fclose</span></span><span class="font-latex-math">(sortie);
}:;
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
index 58c3d1df703..074f4b1eac8 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
@@ -1,5 +1,5 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor-xetex}[19/04/2009 v4.04-d la machine a creer des
+\ProvidesPackage{tablor-xetex}[14/05/2009 v4.04-g la machine a creer des
tableaux de signes et variations compatible xetex]
% \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
@@ -346,10 +346,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}
if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0;
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -535,10 +535,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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],FP)==0){
+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
+ if(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}
if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0;
lsp:=lsp+if(member(Z[r],FP)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -740,10 +740,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+nom+"'("+nomv+")}$ 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^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+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^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}}
@@ -915,6 +915,7 @@ nz:=size(z);
+
S:=op(fsolve(fp(x),x));
if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
@@ -930,6 +931,9 @@ else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+
+
+
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]))}};
@@ -966,10 +970,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"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;"}+
@@ -1171,10 +1175,13 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
- if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+ if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(evalf(sign(fp((Z[0]+10^(-3)))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp(10^(-3)+Z[0])))==1.0){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
+
@@ -1445,7 +1452,9 @@ lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(evalf(sign(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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
@@ -1629,6 +1638,8 @@ nz:=size(z);
+
+
S:=op(fsolve(fp(x),x));
if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
@@ -1647,6 +1658,7 @@ else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+
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]))}};
@@ -1721,8 +1733,10 @@ lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(evalf(sign(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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
@@ -2191,7 +2205,7 @@ Z:=sort(Z);
nz:=size(Z);
- Z:=sort([op(set[op(Z)])]);
+ Z:=sort([op(set[(Z)])]);
nz:=size(Z);
@@ -2369,16 +2383,9 @@ fpour;
-Z:=sort(Z); // on classe les zeros dans l'ordre croissant
-nz:=size(Z);
-if(nz>2){pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les zeros en double
- fsi;
-fpour;}
-
-
Z:=[Z,F];
+
Z:=sort([op(set[op(Z)])]);
nz:=size(Z);
@@ -2403,12 +2410,8 @@ beginTableau("+nmr+")
newLigneVariables(btex $ {x}$ etex);
"+l0+li+
lsic+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;"}+ lf+
- if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}else{"
- "}}else{"nonDefBarre;"}+"
+ if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+ lf+
+ if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
endTableau;
"
@@ -2428,21 +2431,15 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);";
for(p:=0;p<=n-1;p++){lp:="";
li:=li+lsic+latex(L[p](x))+"}$ etex);"+
- if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
- "}+
+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+
if(L[p](Z[0]-0.01)>0){"plus;"}else{"moins;"};
- for(r:=0; r<=nz-2;r++){
- lp:=lp+if(simplify(L[p](Z[r]))==0){"
- valBarre(btex 0 etex);"}else{"barre;
- "}+
+ for(r:=0; r<=nz-2;r++){lp:=lp+if(simplify(L[p](Z[r]))==0){" valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p]((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}};
li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins;
- "}+if(maxi!=+infinity and L[p](maxi)==0){"
- valBarre(btex 0 etex);"}else{" "}
+ "}+if(maxi!=+infinity and L[p](maxi)==0){"valBarre(btex 0 etex);"}else{" "}
};
@@ -2462,15 +2459,12 @@ newLigneVariables(btex $ {x}$ etex);
li
+
lsic+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;"}+
+ 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;"}+
if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+
if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
lr+
if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+
- if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
+ if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){"valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
endTableau;
"
@@ -2681,6 +2675,8 @@ fclose(sortie);
+
+
%%$
%%
%% traitement des fichiers produits par giac/xcas
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index 33e97a36a1b..1ebaddb78d2 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,5 +1,5 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[19/04/2009 v4.04-d la machine a creer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[14/05/2009 v4.04-g la machine a creer des tableaux de signes et variations]
% \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
% This work may be distributed and/or mofified under the conditions
@@ -311,10 +311,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}
if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0;
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -500,10 +500,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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],FP)==0){
+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
+ if(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}
if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0;
lsp:=lsp+if(member(Z[r],FP)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
@@ -705,10 +705,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+nom+"'("+nomv+")}$ 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^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+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^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"plus;"}else{"moins;"} }}}
@@ -935,10 +935,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+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(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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(evalf(sign(fp(Z[0]+10^(-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp((Z[0]+10^(-5)))))==1.0){"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;"}+
@@ -1140,10 +1140,13 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
- if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+ if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1.0){"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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(evalf(sign(fp((Z[0]+10^(-3)))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(evalf(sign(fp(10^(-3)+Z[0])))==1.0){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
+
@@ -1414,7 +1417,9 @@ lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(evalf(sign(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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
@@ -1693,8 +1698,10 @@ lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(evalf(sign(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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
- if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+ if(sign(fp(10^(-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$
+ $ etex);"+
+if(evalf(sign(fp(10^(-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "};
@@ -2163,7 +2170,7 @@ Z:=sort(Z);
nz:=size(Z);
- Z:=sort([op(set[op(Z)])]);
+ Z:=sort([op(set[(Z)])]);
nz:=size(Z);
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-21 14:07:23 +0000