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-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html632
1 files changed, 472 insertions, 160 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 11f73791c5a..46298e680db 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>}[07/02/2009 v4.03 la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[07/03/2009 v4.04 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.</span><span class="comment"><span class="flyspell-incorrect">html</span></span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.html
</span>
<span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements :
@@ -132,11 +132,18 @@
</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 intermediares
+</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs </span><span class="comment"><span class="flyspell-incorrect">intermediares</span></span><span class="comment">
</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="comment"><span class="flyspell-duplicate">TVI</span></span><span class="comment">([-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}
</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"> et racines exactes
+</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIex}
+</span><span class="comment-delimiter">%</span><span class="comment"><span class="flyspell-duplicate">TVIex</span></span><span class="comment">([-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">{TVIex}
+</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">
</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans zero formel
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVapp}
</span><span class="comment-delimiter">% </span><span class="comment">TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
@@ -145,7 +152,7 @@
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans zero formel
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIapp}
-</span><span class="comment-delimiter">% </span><span class="comment">TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">TVIapp</span></span><span class="comment">([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,</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">{TVIapp}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
@@ -187,13 +194,13 @@
<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
<span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
-<span class="font-latex-sedate">\fvset</span>{<span class="flyspell-incorrect">gobble</span>=0}
+<span class="font-latex-sedate">\fvset</span>{gobble=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}{<span class="flyspell-incorrect">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}}
<span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span>
@@ -202,14 +209,14 @@
<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><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">on configure tablor dans un fichier exterieur pour la plateforme
</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.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}}
+<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>
<span class="comment-delimiter">%% </span><span class="comment">Definit des commandes disque selon l'OS utilise
@@ -217,7 +224,7 @@
</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> {<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> }}
+ <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>{cp }}
@@ -233,13 +240,13 @@
<span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
</span>
-<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.<span class="flyspell-incorrect">mpx</span>}
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.mpx}
}
-<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 class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers metapost
</span>
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp}
@@ -257,7 +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.<span class="flyspell-duplicate">cxx</span>}
+</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}
}
@@ -289,7 +296,7 @@
</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">%
-</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">\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">\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
@@ -301,13 +308,13 @@
</span>
-<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 class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon l'OS
</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{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> &lt;#1 }}}
+</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>
@@ -338,7 +345,7 @@ 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&lt;ns;k++){
@@ -362,11 +369,11 @@ S:=solve(fp(x),x);
fpour
fsi;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+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;
@@ -385,13 +392,13 @@ 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:=<span class="flyspell-duplicate">nz</span>-1;
+ si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-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);
-";<span class="flyspell-duplicate">fpour</span>;
+";fpour;
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));
@@ -428,16 +435,16 @@ 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> 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;"}};
@@ -447,30 +454,30 @@ 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+")"+
@@ -478,17 +485,17 @@ 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;
";}
}}
@@ -496,7 +503,7 @@ lf
sortie:=fopen("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+fclose(sortie);
}:;
@@ -717,9 +724,9 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVZ.cxx}
-<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>);
+TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
+nl:=size(L);
+nf:=size(FF);
Ff:=NULL;IMIN:=NULL;IMAX:=NULL;
for(k:=0;k&lt;nf;k++){
if(FF[k][0]&gt;L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]};
@@ -728,9 +735,9 @@ if(FF[k][1]&lt;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:=[<span class="flyspell-duplicate">Ff</span>];
- IMIN:=[<span class="flyspell-duplicate">IMIN</span>];
- IMAX:=[<span class="flyspell-duplicate">IMAX</span>];
+ FF:=[Ff];
+ IMIN:=[IMIN];
+ IMAX:=[IMAX];
f:=unapply(f,x);
fp:=function_diff(f);
Z:=concat(LL,F);
@@ -743,13 +750,13 @@ S:=[];
if(trigo==t){
-<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
+all_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;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+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;
while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
@@ -772,7 +779,7 @@ S:=solve(fp(x),x);
Kk:=(kk) and kK;
if(Kk==1){Z:=append(Z,simplify(S[j]))};
}
- <span class="flyspell-duplicate">fpour</span>
+ fpour
fsi;
Z:=sort(Z);
@@ -783,27 +790,27 @@ 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:=<span class="flyspell-duplicate">nz</span>-1;
+ si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
nz:=size(Z);
for(j:=0;j&lt;nf;j++){
for(k:=1;k&lt;nz;k++){
- if ((Z[k]&gt;Imin[j])and(Z[k]&lt;Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
+ if ((Z[k]&gt;Imin[j])and(Z[k]&lt;Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=nz-1;
}
}
}
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])+"$</span> etex);
";fpour;
k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
- kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
+ kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
-<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
if(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;"+
@@ -812,23 +819,23 @@ if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNon
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
- 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;"}+
+ lsp:=lsp+if(member(Z[r],IMIN)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{
+ if(member(Z[r],IMAX)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}+
+ if(ksp==1){"plus;"}else{"moins;"}}else{
+ if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
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[</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">;
+lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
"}}
-</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">;
+lm0:=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(</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)))}+"$</span> etex,"}+
+ else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+
if(k0==1){"1"}else{"0"}+
");";
@@ -838,68 +845,68 @@ if(nz&gt;2){
krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;
lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
- lp:=<span class="flyspell-duplicate">lp</span>+if(<span class="flyspell-duplicate">member</span>(Z[r],<span class="flyspell-duplicate">IMIN</span>)!=0){"<span class="flyspell-duplicate">limGauche</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrm==1){
+ lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
"-\\infty"}else{
latex(simplify(limit(f(x),x=Z[r],-1)))}
- +"$</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">$"+if(lmrp==1){
+ +"$</span> etex,"+if(krm==1){
+ "1);"}else{"0);"}
+ +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
+ }//fsi Zr=Imin
+ else{
+ if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
- +"$</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">$"+if(lmrm==1){
+ +"$</span> etex,"+if(krp==1){
+ "1);"}else{"0);"}
+ }else{
+ if(member(Z[r],F)){
+ "limGauche(btex <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);"}<span class="flyspell-duplicate">else</span>{"0);"}
- +"<span class="flyspell-duplicate">nonDefBarre</span>;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
+ +"$</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(<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>,"+
+ +"$</span> etex,"+if(krp==1){
+ "1);"}else{"0);"}
+ }//fsi (member Zr F)
+ else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>etex,"+
if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){
- "0.5);"}<span class="flyspell-duplicate">else</span>{
- if(<span class="flyspell-duplicate">krp</span>==1){
- "1);"}else{"0);"}//felse(<span class="flyspell-duplicate">krp</span>)
- }//felse(<span class="flyspell-incorrect">valpos</span>)
+ "0.5);"}else{
+ if(krp==1){
+ "1);"}else{"0);"}//felse(krp)
+ }//felse(valpos)
}//felse(member Zr F)
- } //felse(Zr=<span class="flyspell-duplicate">Imax</span>)
- }//felse(Zr=<span class="flyspell-duplicate">Imin</span>)
- };//<span class="flyspell-incorrect">ffor</span>
- }//fsi <span class="flyspell-duplicate">nz</span>
+ } //felse(Zr=Imax)
+ }//felse(Zr=Imin)
+ };//ffor
+ }//fsi nz
-<span class="flyspell-duplicate">lnz</span>:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
-<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+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);"}<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;"}};
-MetaLfc:=if(ftt==2){if(<span class="flyspell-duplicate">nz</span>&gt;2){"
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{
-<span class="flyspell-duplicate">intro</span>+"beginTableau("+nmr+")"+
+intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";
}
@@ -907,41 +914,41 @@ lsi+lsf+"
l0+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+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;
";}
}}
sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
}
@@ -1148,25 +1155,25 @@ fclose(sortie);
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.cxx}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTVI</span>.cxx}
TVI(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
nl:=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]){
@@ -1200,7 +1207,11 @@ LI:=limit(f(x),x,Z[0],1);
LF:=limit(f(x),x,Z[nz-1],-1);
LP:=NULL;
PB:=1;
-if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};if(member(Z[r],F)){PB:=PB,0,1}}};
+if(<span class="flyspell-duplicate">nz</span>&gt;2){ for(r:=1;
+ r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(<span class="flyspell-duplicate">member</span>(Z[r],F)){<span class="flyspell-duplicate">PB</span>:=<span class="flyspell-duplicate">PB</span>,0,1}else{PB:=<span class="flyspell-duplicate">PB</span>,1};
+}
+};
if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
NL:=size(LL);
@@ -1217,6 +1228,280 @@ 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}};
+}
+
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"
+
+ };
+
+
+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));
+
+<span class="flyspell-duplicate">lsi</span>:=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;"+
+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
+
+
+
+
+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(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]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==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(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;}
+}}}};
+
+
+
+
+ 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">;
+
+
+
+
+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);
+
+ 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)))}+"$</span> etex,"}+
+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "};
+
+
+ if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
+ krm:=evalf(limit(f(x),x=Z[r-1],1))&lt; evalf(limit(f(x),x=Z[r],-1));
+ krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;
+ lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
+ lp:=lp+if(member(Z[r],F)) {
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}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+" $</span> etex,0.5);"
+ }else{" "};
+};//for
+}else{rr:=1;for(r:=1; r&lt;=NL-2;r++){TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
+ krm:=evalf(limit(f(x),x=Z[rr-1],1))&lt; evalf(limit(f(x),x=Z[rr],-1));
+ krp:=evalf(limit(f(x),x=Z[rr],1))&gt; evalf(limit(f(x),x=Z[rr+1],-1)) ;
+ lmrm:=limit(f(x),x=Z[rr],-1)==-infinity;lmrp:=limit(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
+
+if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+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])))+"$</span>
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
+ <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
+ ";rr:=rr+1;
+}// testS==0
+<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){
+ "limGauche(btex <span class="font-latex-math">$"+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])))+"$</span>
+ etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+ "}}};rr:=rr+1;
+}//else testS==0
+}//PB[r]==1
+}//for nz&lt;NL
+}// else nz&lt;NL
+//if nz=NL
+};//if <span class="flyspell-duplicate">nz</span>&gt;2
+
+
+
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+
+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
+ if(kz==1){"1);"}else{"0);"}}
+ else{"limGauche(btex <span class="font-latex-math">$"+
+ 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>;"}};
+
+
+
+
+
+
+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+lsi+lsp+lsf+"
+endTableau;
+
+";}<span class="flyspell-duplicate">else</span>{
+"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";
+}
+}else{
+if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+li+
+lp+
+<span class="flyspell-duplicate">lf</span>
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+li+
+lf
++"
+endTableau;
+";}}else{
+if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+ l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+
+li+
+<span class="flyspell-duplicate">lf</span>
++"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";}
+}};
+
+
+
+
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+ }:;
+
+
+
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</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">
+</span><span class="comment-delimiter">%</span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">Pour avoir les racines sous forme exacte.... quand c'est possible !
+</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">
+</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.cxx}
+
+
+
+TVIex(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
+nl:=size(L);
+f:=unapply(f,x);
+fp:=function_diff(f);
+Z:=concat(L,F);
+S:=[];
+
+Sex:=NULL;
+Zex:=solve(f(x)=ao);
+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:=[Sex];
+
+
+
+
+
+
+
+
+if(trigo==t){
+all_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])){
+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]){
+S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
+}
+}
+}else{
+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[nl-1]));
+ if(kk==1){Z:=append(Z,simplify(S[j]))};
+ fpour
+ fsi;
+
+Z:=sort(Z);
+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;
+ fsi;
+fpour;
+nz:=size(Z);
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
+
+
+
+LI:=limit(f(x),x,Z[0],1);
+LF:=limit(f(x),x,Z[nz-1],-1);
+LP:=NULL;
+PB:=1;
+if(nz&gt;2){ for(r:=1;
+ r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(member(Z[r],F)){PB:=PB,0,1}else{PB:=PB,1};
+}
+};
+if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
+
+NL:=size(LL);
+A:=NULL;aa:=0;
+kk:=0;
+
+
+
+if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[k+1]-ao))) or (evalf(sign(LL[k]-ao))==0.0)or (evalf(sign(LL[k+1]-ao))==0.0);
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$"+latex(simplify(Sex[aa]))+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"};
+//chgmt NL-&gt;nz
+if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[k+1]-ao))) or (evalf(sign(LL[k]-ao))==0.0)or (evalf(sign(LL[k+1]-ao))==0.0);
+
+if(PB[k]==1){if(TestS==0){
+ A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+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])+"$</span> etex);";kk:=kk+1}};
}
@@ -1300,24 +1585,24 @@ else{lp:=lp+if(member(Z[rr],F)){
else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=rr+1;
-}//else testS==0
+}//else <span class="flyspell-duplicate">testS</span>==0
}//PB[r]==1
}//for nz&lt;NL
}// else nz&lt;NL
//if nz=NL
-};//if nz&gt;2
+};//if <span class="flyspell-duplicate">nz</span>&gt;2
lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
-lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
- if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
if(kz==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
- if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
- if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
+ if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
@@ -1327,13 +1612,13 @@ 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+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}else{
"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";
}
@@ -1341,12 +1626,12 @@ endTableau;
if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
l0+
li+
-lp+
+<span class="flyspell-duplicate">lp</span>+
lf
+"
endTableau;
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
l0+
li+
lf
@@ -1358,7 +1643,7 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi+lsp+lsf+
li+
lp+
-lf
+<span class="flyspell-duplicate">lf</span>
+"
endTableau;
@@ -1368,7 +1653,7 @@ lsi+lsf+
li+
lf
+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
";}
}};
@@ -1378,7 +1663,6 @@ endTableau;
-
sortie:=fopen("XCasmpfc.mp");
fprint(sortie,Unquoted,MetaLfc);
fclose(sortie);
@@ -1387,7 +1671,6 @@ fclose(sortie);
}:;
-
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -1406,7 +1689,7 @@ 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,nmr):={
+<span class="flyspell-duplicate">TVIapp</span>(L,F,nom,nomv,f,ftt,ao,<span class="flyspell-duplicate">nmr</span>):={
nl:=size(L);
@@ -1422,8 +1705,8 @@ 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,resoudre_numerique(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,resoudre_numerique(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,resoudre_numerique(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,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for; }}};
+<span class="flyspell-duplicate">else</span>{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for;}
+<span class="flyspell-duplicate">else</span>{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for; }}};
@@ -1433,10 +1716,10 @@ else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,resou
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]);
+ kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (<span class="flyspell-duplicate">evalf</span>(S[j])&lt;=L[1]);
if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
fpour;
-fsi;
+<span class="flyspell-duplicate">fsi</span>;
S:=NULL;
@@ -1461,16 +1744,20 @@ for(j:=1;j&lt;nz;j++){
Z:=[S];
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
LI:=limit(f(x),x,Z[0],1);
-LF:=limit(f(x),x,Z[nz-1],-1);
+<span class="flyspell-duplicate">LF</span>:=limit(f(x),x,Z[nz-1],-1);
LP:=NULL;
PB:=1;
-if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};if(member(Z[r],F)){PB:=PB,0,1}}};
+if(<span class="flyspell-duplicate">nz</span>&gt;2){ for(r:=1;
+ r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(<span class="flyspell-duplicate">member</span>(Z[r],F)){<span class="flyspell-duplicate">PB</span>:=<span class="flyspell-duplicate">PB</span>,0,1}else{PB:=<span class="flyspell-duplicate">PB</span>,1};
+}
+};
if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
NL:=size(LL);
@@ -1631,13 +1918,13 @@ 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;
";}
}};
@@ -1664,7 +1951,7 @@ 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 </span><span class="comment"><span class="flyspell-duplicate">parametrees</span></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">
</span>
@@ -1674,7 +1961,7 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVP.cxx}
-<span class="flyspell-duplicate">TVP</span>(L,F,nom,nomv,ff,ftt,trigo,nmr):={
+TVP(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:=[];
@@ -1685,20 +1972,20 @@ LLL:=[];
all_trig_solutions:=1;
-reset_solve_<span class="flyspell-duplicate">counter</span>(-1,-1);
+reset_solve_counter(-1,-1);
for(d:=0;d&lt;=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;
-<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp[d](t))),t);
+SS:=solve(factor(simplify(fp[d](t))),t);
ns:=size(SS);
for(k:=0;k&lt;ns;k++){
if(trigo==t){
m:=0;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+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;
@@ -1709,7 +1996,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
}
}else{
-S:=concat(S,<span class="flyspell-duplicate">SS</span>);
+S:=concat(S,SS);
}
}
@@ -1725,7 +2012,7 @@ 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;
@@ -1737,7 +2024,7 @@ u:=1;
Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
ftantque;
u:=u+1;
- <span class="flyspell-duplicate">ftantque</span>;
+ ftantque;
};
@@ -1751,7 +2038,7 @@ nz:=size(Z);
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
";fpour;
- <span class="flyspell-duplicate">lsi</span>:="","";
+ lsi:="","";
FFF:=[[],[]];
@@ -1761,7 +2048,7 @@ FFF[d]:=concat(F[d],[-infinity,+infinity]);
kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))&gt; evalf(limit(f[d](x),x=Z[nz-2],1));
//}
//<span class="font-latex-math">$
- 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])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</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;
"}}+
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{
@@ -1772,7 +2059,7 @@ 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{"<span class="flyspell-duplicate">nonDefBarre</span>;"}}
+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;"}}
@@ -1798,10 +2085,10 @@ for(d:=0;d&lt;=1;d++){
//{
//<span class="font-latex-math">$
lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
- li[d]:=lvic+nom[d]+"}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ li[d]:=lvic+nom[d]+"}$</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,"}
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"}<span class="flyspell-duplicate">else</span>{"0"}+
+ 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));
@@ -1810,21 +2097,21 @@ 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(<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);"}}
+ 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);"}}
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);"}<span class="flyspell-duplicate">else</span>{"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);"}else{"0);
"}}}
}; }
lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
-lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+
if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
if(Kz[d]==1){"1);"}else{"0);"}}
else{"limGauche(btex <span class="font-latex-math">$"+
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);<span class="flyspell-duplicate">nonDefBarre</span>;"}};
+ if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};
@@ -1844,13 +2131,13 @@ MetaLfc:=if(ftt==2){if(nz&gt;2){"
beginTableau("+nmr+")"+
l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{
intro+"beginTableau("+nmr+")"+
l0+
lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";
}
@@ -1861,18 +2148,18 @@ lp[0]+
lf[0]+
li[1]+
lp[1]+
-<span class="flyspell-duplicate">lf</span>[1]
+lf[1]
+"
endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
li[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
li[1]+
lf[1]
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}}else{
if(nz&gt;2){"beginTableau("+nmr+")"+
@@ -1880,24 +2167,24 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
lsi[0]+lsp[0]+lsf[0]+
li[0]+
lp[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
lsi[1]+lsp[1]+lsf[1]+
li[1]+
lp[1]+
lf[1]
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}else{"beginTableau("+nmr+")"+
l0+
lsi[0]+lsf[0]+
li[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
lsi[1]+lsf[1]+
li[1]+
lf[1]
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
";}
}
@@ -2703,7 +2990,7 @@ read("XCasTVP.user");
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasTVZ</span>.giac}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac}
maple_mode(0);
read("config.cxx");
read("XcasTVZ.cxx");
@@ -2774,7 +3061,32 @@ read("XCasTVI.user");
</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVI.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVI}}
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVI</span>}}
+
+
+
+
+
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIex.giac}
+maple_mode(0);
+read("config.cxx");
+read("XcasTVIex.cxx");
+read("XCasTVIex.user");
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIex}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIex.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{TVIex}}
+
+
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIex*}</span>[1]<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIex.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVIex</span>}}
+
+
+
@@ -2797,7 +3109,7 @@ read("XCasTVIapp.user");
</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIapp.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVIapp}}
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVIapp</span>}}
@@ -2806,7 +3118,7 @@ read("XCasTVIapp.user");
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVPC.giac}
maple_mode(0);
read("config.cxx");
-read("XcasTVPC.cxx");
+<span class="flyspell-duplicate">read</span>("XcasTVPC.cxx");
read("XCasTVPC.user");
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -2817,9 +3129,9 @@ read("XCasTVPC.user");
<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVPC*}</span>[1]{<span class="comment">%
</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
-<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span>
<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVPC.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVPC}}
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVPC</span>}}
@@ -2834,14 +3146,14 @@ read("XCasTVPC.user");
<span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
</span>
-<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp &gt;&gt; <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp &gt;&gt; <span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="flyspell-duplicate">mp</span>}
}
<span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -&gt; enjoy :)
+</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -&gt; </span><span class="comment"><span class="flyspell-incorrect">enjoy</span></span><span class="comment"> :)
</span></pre>
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