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-rw-r--r--Master/texmf-dist/doc/latex/tablor/README2
-rw-r--r--Master/texmf-dist/doc/latex/tablor/README-fr.txt2
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Tablor.pdfbin134715 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html513
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.pdfbin0 -> 137247 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.tex (renamed from Master/texmf-dist/doc/latex/tablor/Tablor.tex)130
-rw-r--r--Master/texmf-dist/tex/latex/tablor/tablor.sty123
7 files changed, 418 insertions, 352 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/README b/Master/texmf-dist/doc/latex/tablor/README
index a51504d7256..0831da6cb96 100644
--- a/Master/texmf-dist/doc/latex/tablor/README
+++ b/Master/texmf-dist/doc/latex/tablor/README
@@ -9,7 +9,7 @@ The tablor package requires that shell escape be enabled.
For instance :
-\begin{TV} TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,3) \end{TV}
+\begin{TV} TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,\tv) \end{TV}
draws table of variations of x->x^2/(x^2-1).
diff --git a/Master/texmf-dist/doc/latex/tablor/README-fr.txt b/Master/texmf-dist/doc/latex/tablor/README-fr.txt
index 9e1de707415..5efc255fa76 100644
--- a/Master/texmf-dist/doc/latex/tablor/README-fr.txt
+++ b/Master/texmf-dist/doc/latex/tablor/README-fr.txt
@@ -4,7 +4,7 @@ pour les tableaux.
On rentre par exemple:
-\begin{TV} TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,3) \end{TV}
+\begin{TV} TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,\tv) \end{TV}
et on obtient le tableau de variation de x->x^2/(x^2-1).
diff --git a/Master/texmf-dist/doc/latex/tablor/Tablor.pdf b/Master/texmf-dist/doc/latex/tablor/Tablor.pdf
deleted file mode 100644
index ba408074c10..00000000000
--- a/Master/texmf-dist/doc/latex/tablor/Tablor.pdf
+++ /dev/null
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 1ff1f5ed59f..9505cccb01f 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -85,7 +85,7 @@
<span class="font-latex-sedate">\NeedsTeXFormat</span>{LaTeX2e}[1995/12/01]
<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-incorrect">tablor</span>}
- [17/01/2008 v1.2
+ [21/01/2008 v1.3
la machine &#224; cr&#233;er des tableaux de signes et variations]
@@ -93,35 +93,35 @@
<span class="comment-delimiter">%% </span><span class="comment">Cr&#233;e 5 environnements :
</span><span class="comment-delimiter">%% </span><span class="comment">tableau de signes de 2 facteurs affines
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSa}
-</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">TSa</span></span><span class="comment">(-2,3,-1,5,1);
+</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">TSa</span></span><span class="comment">(-2,3,-1,5,</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">{TSa}
</span><span class="comment-delimiter">% </span><span class="comment">%%%%%% Pour des tableaux de plus de 2 facteurs
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TS}
-</span><span class="comment-delimiter">% </span><span class="comment">TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],2);
+</span><span class="comment-delimiter">% </span><span class="comment">TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],</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">{TS}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="comment">pour les tableaux de signes avec quotient
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSq}
-</span><span class="comment-delimiter">%</span><span class="comment">TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],3)
+</span><span class="comment-delimiter">%</span><span class="comment">TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],</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">{TSq}
</span><span class="comment-delimiter">% </span><span class="comment">un tableau de variation :
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TV}
-</span><span class="comment-delimiter">% </span><span class="comment">TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,4)
+</span><span class="comment-delimiter">% </span><span class="comment">TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,</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">{TV}
</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-incorrect">interm&#233;diares</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"><span class="flyspell-duplicate">TVI</span></span><span class="comment">([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,1)
+</span><span class="comment-delimiter">%</span><span class="comment">TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,</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="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>{
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{rm XCasmp.mp* XCasmp.log XCasmp?.mp* XCasmp?.log XCasmpTV.mp* XCasmpTV.<span class="flyspell-duplicate">log</span> *.out <span class="flyspell-duplicate">XCasmpTVI</span>.<span class="flyspell-duplicate">mp</span>* <span class="flyspell-duplicate">XCasmpTVI</span>.<span class="flyspell-duplicate">log</span>
- *.in *.meta *<span class="flyspell-incorrect">mpx</span>*}}
+<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{rm XCasmp.mp* XCasmp.log XCasmp?.mp* XCasmp?.log XCasmpTV.mp* XCasmpTV.log *.out XCasmpTVI.mp* XCasmpTVI.log
+ *.in *.meta *<span class="flyspell-incorrect">mpx</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">\bouger</span></span><span class="function-name">}</span>[1]{
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{cp <span class="flyspell-duplicate">XCas</span>* #1}}
@@ -134,6 +134,7 @@
<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVn</span></span><span class="function-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="function-name">{fancyvrb}</span>
<span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\usepackage</span></span><span class="comment">[upright]{fourier}
@@ -145,66 +146,73 @@
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.meta}
-TV(L,F,nom,<span class="flyspell-duplicate">nomv</span>,f,ftt,<span class="flyspell-duplicate">nmr</span>):={
-<span class="flyspell-duplicate">nl</span>:=<span class="flyspell-duplicate">size</span>(L);
+TV(L,F,nom,nomv,f,ftt,nmr):={
+nl:=size(L);
f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=fonction_derivee(f);
+fp:=fonction_derivee(f);
Z:=concat(L,F);
S:=resoudre(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;=<span class="flyspell-duplicate">evalf</span>(L[<span class="flyspell-duplicate">nl</span>-1]));
if(kk==1){Z:=append(Z,simplifier(S[j]))};
<span class="flyspell-duplicate">fpour</span>
- <span class="flyspell-duplicate">fsi</span>;
+ fsi;
Z:=sort(Z);
-nz:=size(Z);
- si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
+<span class="flyspell-duplicate">nz</span>:=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>;
<span class="flyspell-duplicate">nz</span>:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
-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>;
+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>;
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
- kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
+ kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-<span class="flyspell-duplicate">lsi</span>:="newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> <span class="flyspell-duplicate">etex</span>);"+
- if(Z[0]==-infinity){if(sign(evalf(<span class="flyspell-duplicate">fp</span>(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}}<span class="flyspell-duplicate">else</span>{if(<span class="flyspell-duplicate">member</span>(Z[0],F)==0){
- if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">fp</span>(Z[0]+10^(-5)))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">nonDefBarre</span>;"+
- if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">fp</span>((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
+lsi:="
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ 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(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"+
+ if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
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],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(ksp==1){"plus;"}else{"moins;"}
}; }
-<span class="flyspell-duplicate">lsf</span>:=if(member(Z[nz-1],F)==0){""}else{"<span class="flyspell-duplicate">nomDefBarre</span>;"}
-<span class="flyspell-duplicate">lm</span>0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
- li:="newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
- if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}
- else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
- if(k0==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
+"}
+lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
+ li:="
+newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}
+ else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+
+ if(k0==1){"1"}else{"0"}+
");";
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
krp:=evalf(limite(f(x),x=Z[r],1))&gt; evalf(limite(f(x),x=Z[r+1],-1)) ;
- lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>;
+ lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
lp:=lp+if(member(Z[r],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
- else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</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(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+ else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>
+ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+"}}}
}; }
-<span class="flyspell-duplicate">lnz</span>:=limite(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
- lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"};
+lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
+ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+
+ if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
+"};
-<span class="flyspell-duplicate">intro</span>:="input <span class="flyspell-duplicate">tableauVariation</span>;
- <span class="flyspell-duplicate">verbatimtex</span>
+intro:="input tableauVariation;
+ verbatimtex
<span class="comment-delimiter">%</span><span class="comment">&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
@@ -216,35 +224,39 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
"
-<span class="flyspell-duplicate">MetaL</span>:= if(ftt==0){if(nz&gt;2){intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+MetaL:= if(ftt==0){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
<span class="flyspell-duplicate">lf</span>
-+"<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
<span class="flyspell-duplicate">lf</span>
-+"<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}}<span class="flyspell-duplicate">else</span>{
-if(nz&gt;2){intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
++"
+endTableau;
+end";}}else{
+if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+<span class="flyspell-duplicate">lsf</span>+
+<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
li+
-<span class="flyspell-duplicate">lp</span>+
-<span class="flyspell-duplicate">lf</span>
-+"<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+lp+
+lf
++"
+endTableau;
+<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+<span class="flyspell-duplicate">lsf</span>+
+lsi+lsf+
li+
-<span class="flyspell-duplicate">lf</span>
-+"<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}
+lf
++"
+<span class="flyspell-duplicate">endTableau</span>;
+end";}
}
-<span class="flyspell-duplicate">return</span>(<span class="flyspell-duplicate">MetaL</span>);
+return(<span class="flyspell-duplicate">MetaL</span>);
}:;
@@ -254,75 +266,77 @@ li+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.<span class="flyspell-duplicate">meta</span>}
-<span class="flyspell-duplicate">TVI</span>(L,F,nom,nomv,f,ftt,ao,<span class="flyspell-duplicate">nmr</span>):={
-<span class="flyspell-duplicate">nl</span>:=<span class="flyspell-duplicate">size</span>(L);
+TVI(L,F,nom,nomv,f,ftt,ao,nmr):={
+nl:=size(L);
f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=fonction_derivee(f);
+fp:=fonction_derivee(f);
Z:=concat(L,F);
S:=resoudre(fp(x),x);
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
- <span class="flyspell-duplicate">kk</span>:=(<span class="flyspell-duplicate">evalf</span>(S[j])&gt;=<span class="flyspell-duplicate">evalf</span>(L[0])) and (<span class="flyspell-duplicate">evalf</span>(S[j])&lt;=<span class="flyspell-duplicate">evalf</span>(L[<span class="flyspell-duplicate">nl</span>-1]));
- if(<span class="flyspell-duplicate">kk</span>==1){Z:=append(Z,simplifier(S[j]))};
- <span class="flyspell-duplicate">fpour</span>
- <span class="flyspell-duplicate">fsi</span>;
+ kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
+ if(kk==1){Z:=append(Z,simplifier(S[j]))};
+ fpour
+ fsi;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
- <span class="flyspell-duplicate">fsi</span>;
+ 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;
- <span class="flyspell-duplicate">fsi</span>;
-<span class="flyspell-duplicate">fpour</span>;
-<span class="flyspell-duplicate">nz</span>:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
+ 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:=limite(f(x),x,Z[0],1);
-<span class="flyspell-duplicate">LF</span>:=limite(f(x),x,Z[<span class="flyspell-duplicate">nz</span>-1],-1);
-<span class="flyspell-duplicate">LP</span>:=<span class="flyspell-duplicate">NULL</span>;
+LF:=limite(f(x),x,Z[nz-1],-1);
+<span class="flyspell-duplicate">LP</span>:=NULL;
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limite(f(x),x,Z[r],-1),limite(f(x),x,Z[r],1)}else{f(Z[r])}}};
-if(nz&gt;2){ LL:=[LI,LP,LF]}else{LL:=[LI,<span class="flyspell-duplicate">LF</span>]};
+if(nz&gt;2){ LL:=[LI,LP,LF]}else{LL:=[LI,LF]};
-<span class="flyspell-duplicate">NL</span>:=size(<span class="flyspell-duplicate">LL</span>);
-A:=NULL;aa:=1;<span class="flyspell-duplicate">kk</span>:=0;
+NL:=size(LL);
+A:=NULL;aa:=1;kk:=0;
-if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-<span class="flyspell-duplicate">ao</span>))==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">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> <span class="flyspell-duplicate">etex</span>);"}}
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"};
+if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</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;}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);"};
-if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
-<span class="flyspell-duplicate">TestL</span>:=(abs(LL[k])==abs(LL[k+1]));
-if(TestS==0){ if( TestL==1 ){l0:=l0}<span class="flyspell-duplicate">else</span>{
-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);";<span class="flyspell-duplicate">aa</span>:=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>);"};
+if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
+TestL:=(abs(LL[k])==abs(LL[k+1]));
+if(TestS==0){ if( TestL==1 ){l0:=l0}else{
+A:=A,aa;l0:=l0+"val(btex <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:=kk+1}}
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);
+"};
-<span class="flyspell-duplicate">TestS</span>:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
-<span class="flyspell-duplicate">lsi</span>:="newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> <span class="flyspell-duplicate">etex</span>);"+
- if(Z[0]==-<span class="flyspell-duplicate">infinity</span>){if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">evalf</span>(<span class="flyspell-duplicate">fp</span>(if(Z[1]==+<span class="flyspell-duplicate">infinity</span>){0}<span class="flyspell-duplicate">else</span>{Z[1]-10^(-5)})))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}}<span class="flyspell-duplicate">else</span>{if(<span class="flyspell-duplicate">member</span>(Z[0],F)==0){
- if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">fp</span>((Z[0]+10^(-10))))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">nonDefBarre</span>;"+
- if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">fp</span>(10^(-10)+Z[0]))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"} }}+if(<span class="flyspell-duplicate">TestS</span>==0){"<span class="flyspell-duplicate">valBarre</span>(<span class="flyspell-duplicate">btex</span><span class="font-latex-math">$ $</span> <span class="flyspell-duplicate">etex</span>);"+ if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">fp</span>(10^(-10)+Z[0]))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"}}<span class="flyspell-duplicate">else</span>{" "};
+lsi:="
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+
+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+ if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "};
-if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(<span class="flyspell-duplicate">evalf</span>(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
ksp:=evalf(fp(Z[r]+0.01))&gt;0;
TestL:=(abs(LL[r])==abs(LL[r+1]));
- lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
- if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "};
+ lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(ksp==1){"plus;"}else{"moins;"}+if(<span class="flyspell-duplicate">TestS</span>==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
}}
-<span class="flyspell-duplicate">else</span>{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
TestL:=(abs(LL[r])==abs(LL[r+1]));
- if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
- if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
+ if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
} else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
}}
@@ -330,60 +344,61 @@ if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r
-lsf:=if(member(Z[nz-1],F)==0){""}else{"<span class="flyspell-duplicate">nomDefBarre</span>;"}
-lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
+lm0:=limite(f(x),x=Z[0],1)==-infinity;
TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-<span class="flyspell-duplicate">ao</span>))==0.0);
- li:="newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
- if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}
- else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
+ li:="
+newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);
+"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}
+ else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(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+" $</span> etex,0.5);"}<span class="flyspell-duplicate">else</span>{" "};
- if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(<span class="flyspell-duplicate">evalf</span>(LL[r+1]-ao))==0.0);
+ if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
krp:=evalf(limite(f(x),x=Z[r],1))&gt; evalf(limite(f(x),x=Z[r+1],-1)) ;
- lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>;
+ lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
lp:=lp+if(member(Z[r],F)) {
"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-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(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
- else{"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>
- etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}<span class="flyspell-duplicate">else</span>{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(<span class="flyspell-duplicate">btex</span>
- <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);"
+ else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>
+ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(<span class="flyspell-duplicate">TestS</span>==0){"valPos(btex
+ <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"
}else{" "};
};//for
}else{rr:=1;for(r:=1; r&lt;=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
- krm:=evalf(limite(f(x),x=Z[rr-1],1))&lt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],-1));
- krp:=evalf(limite(f(x),x=Z[rr],1))&gt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>+1],-1)) ;
+ krm:=evalf(limite(f(x),x=Z[rr-1],1))&lt; evalf(limite(f(x),x=Z[rr],-1));
+ krp:=evalf(limite(f(x),x=Z[rr],1))&gt; evalf(limite(f(x),x=Z[rr+1],-1)) ;
lmrm:=limite(f(x),x=Z[rr],-1)==-infinity;lmrp:=limite(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) {
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(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(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(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(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span>
- etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span>
- <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);
+ etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
+ <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
";rr:=<span class="flyspell-duplicate">rr</span>+1;
-}// else <span class="flyspell-incorrect">testL</span>==1
-}//<span class="flyspell-duplicate">testS</span>==0
-<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(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(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+}// else testL==1
+}//testS==0
+else{lp:=lp+if(member(Z[rr],F)){
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(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(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span>
- etex,"+if(sign(<span class="flyspell-duplicate">evalf</span>(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
+ etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=<span class="flyspell-duplicate">rr</span>+1;
-}//else <span class="flyspell-duplicate">testS</span>==0
-}//for nz&lt;<span class="flyspell-duplicate">NL</span>
-}// else nz&lt;<span class="flyspell-duplicate">NL</span>
+}//else testS==0
+}//for nz&lt;NL
+}// else nz&lt;NL
//if nz=NL
};//if <span class="flyspell-duplicate">nz</span>&gt;2
-lnz:=limite(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
- lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"};
+lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
+ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
+ if(kz==1){"1);"}else{"0);"};
-<span class="flyspell-duplicate">intro</span>:="
-input <span class="flyspell-duplicate">tableauVariation</span>;
+intro:="
+input tableauVariation;
<span class="flyspell-duplicate">verbatimtex</span>
<span class="comment-delimiter">%</span><span class="comment">&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
@@ -391,40 +406,44 @@ input <span class="flyspell-duplicate">tableauVariation</span>;
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- <span class="flyspell-duplicate">etex</span>
+ etex
";
-<span class="flyspell-duplicate">MetaL</span>:= if(ftt==0){if(nz&gt;2){intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+<span class="flyspell-duplicate">MetaL</span>:= if(ftt==0){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lp</span>+
-<span class="flyspell-duplicate">lf</span>
-+"endTableau;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+lp+
+lf
++"
+<span class="flyspell-duplicate">endTableau</span>;
+end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lf</span>
-+"endTableau;
-<span class="flyspell-duplicate">end</span>";}}else{
-if(nz&gt;2){intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+lf
++"
+<span class="flyspell-duplicate">endTableau</span>;
+end";}}else{
+if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
li+
<span class="flyspell-duplicate">lp</span>+
-<span class="flyspell-duplicate">lf</span>
-+"endTableau;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+lf
++"
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
l0+
<span class="flyspell-duplicate">lsi</span>+lsf+
li+
-<span class="flyspell-duplicate">lf</span>
-+"endTableau;
+lf
++"
+endTableau;
<span class="flyspell-duplicate">end</span>";}
};
-<span class="flyspell-duplicate">return</span>(<span class="flyspell-duplicate">MetaL</span>);
+return(<span class="flyspell-duplicate">MetaL</span>);
}:;
@@ -441,7 +460,7 @@ li+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.meta}
-<span class="flyspell-duplicate">TS</span>(L,nmr):={
+TS(L,nmr):={
L:=apply(f-&gt;unapply(f,x),L)
n:=size(L);
Z:=<span class="flyspell-duplicate">NULL</span>;
@@ -453,36 +472,38 @@ pour k de 0 jusque n-1 faire
Z:=Z,simplifier(S[j]);
<span class="flyspell-duplicate">fpour</span>;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
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:=<span class="flyspell-duplicate">nz</span>-1;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);";<span class="flyspell-duplicate">fpour</span>;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
+";<span class="flyspell-duplicate">fpour</span>;
-for(p:=0;p&lt;=n-1;p++){<span class="flyspell-duplicate">lp</span>:=" ";
- li:=li+"newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+
+for(p:=0;p&lt;=n-1;p++){lp:=" ";
+ li:=li+"newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
if(L[p](Z[0]-1.0)&gt;0){"plus;"}else{"moins;"}+
for(r:=0; r&lt;=nz-2;r++){
lp:=lp+if(simplifier(L[p](Z[r]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p]((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}}+
if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
- if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;"}
+ if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
+ "}
};
pour t de 0 jusque nz-2 faire
- lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"
- fpour
+ lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"
+ <span class="flyspell-duplicate">fpour</span>
-<span class="flyspell-duplicate">MetaL</span>:=" input <span class="flyspell-duplicate">tableauVariation</span>;
- <span class="flyspell-duplicate">verbatimtex</span>
+MetaL:=" input tableauVariation;
+ verbatimtex
<span class="comment-delimiter">%</span><span class="comment">&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
@@ -491,18 +512,18 @@ pour t de 0 jusque nz-2 faire
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
etex
beginTableau("+nmr+")
-<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
- val(btex <span class="font-latex-math">$-\\infty$</span> etex);"+l0+"val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>);"+
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> <span class="flyspell-duplicate">etex</span>);
+ val(btex <span class="font-latex-math">$-\\infty$</span> etex);"+l0+"val(btex <span class="font-latex-math">$+\\infty$</span> etex);"+
li
+
" newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+
- if(product(L[s](Z[0]-1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"+
+ if(product(L[s](Z[0]-1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+
lr+
if(product(L[s](Z[nz-1]+1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
<span class="flyspell-duplicate">end</span>"
;
-return(<span class="flyspell-duplicate">MetaL</span>);
+return(MetaL);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -515,9 +536,9 @@ return(<span class="flyspell-duplicate">MetaL</span>);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.meta}
-<span class="flyspell-duplicate">TSq</span>(nomf,L,Fo,nmr):={
+TSq(nomf,L,Fo,nmr):={
L:=apply(f-&gt;unapply(f,x),L);
-<span class="flyspell-duplicate">Fo</span>:=apply(f-&gt;unapply(f,x),Fo);
+Fo:=apply(f-&gt;unapply(f,x),Fo);
L:=concat(L,Fo);
n:=size(L);
Z:=NULL;
@@ -532,7 +553,7 @@ pour k de 0 jusque n-1 faire
Z:=Z,simplifier(S[j]);
<span class="flyspell-duplicate">fpour</span>;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
pour k de 0 jusque m-1 faire
@@ -551,18 +572,20 @@ pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les z&#233;ros en double
fsi;
fpour;
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);";<span class="flyspell-duplicate">fpour</span>;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
+";fpour;
for(p:=0;p&lt;=n-1;p++){lp:=" ";
- li:=li+"newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ li:=li+"
+<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+
if(L[p](Z[0]-1.0)&gt;0){"plus;"}else{"moins;"}+
for(r:=0; r&lt;=nz-2;r++){
lp:=lp+if(simplifier(L[p](Z[r]))==0){"
- <span class="flyspell-duplicate">valBarre</span>(btex 0 etex);"}else{"barre;"}+
+ valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p]((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}}+
if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
@@ -571,10 +594,10 @@ for(p:=0;p&lt;=n-1;p++){lp:=" ";
pour t de 0 jusque nz-2 faire
- lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+if(member(Z[t+1],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}
+ lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+if(member(Z[t+1],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}
fpour
-<span class="flyspell-duplicate">MetaL</span>:=" input <span class="flyspell-duplicate">tableauVariation</span>;
+MetaL:=" input tableauVariation;
<span class="flyspell-duplicate">verbatimtex</span>
<span class="comment-delimiter">%</span><span class="comment">&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
@@ -584,16 +607,16 @@ pour t de 0 jusque nz-2 faire
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
etex
beginTableau("+nmr+")
-<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
- val(btex <span class="font-latex-math">$-\\infty$</span> etex);"+l0+"val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>);"+
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ val(btex <span class="font-latex-math">$-\\infty$</span> etex);"+l0+"val(btex <span class="font-latex-math">$+\\infty$</span> etex);"+
li
+
" newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> "+nomf+"(x) }$</span> etex);"+
- if(product(L[s](Z[0]-1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+if(member(Z[0],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ if(product(L[s](Z[0]-1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+if(member(Z[0],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
lr+
if(product(L[s](Z[nz-1]+1.0),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"
-<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>"
+endTableau;
+end"
;
return(<span class="flyspell-duplicate">MetaL</span>);
}:;
@@ -602,50 +625,52 @@ return(<span class="flyspell-duplicate">MetaL</span>);
<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">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSign.meta}
-<span class="flyspell-duplicate">TSa</span>(a,b,c,d,nmr):={
-zA:=resoudre(a*x+b=0,x)[0];
-<span class="flyspell-duplicate">zB</span>:=resoudre(c*x+d=0,x)[0];
-<span class="flyspell-duplicate">zmin</span>:=min(zA,zB);
-<span class="flyspell-duplicate">zmax</span>:=max(zA,zB);
- Meta:= " input <span class="flyspell-duplicate">tableauVariation</span>;
- verbatimtex
+TSa(a,b,c,d,nmr):={
+<span class="flyspell-duplicate">zA</span>:=resoudre(a*x+b=0,x)[0];
+zB:=resoudre(c*x+d=0,x)[0];
+zmin:=min(zA,zB);
+zmax:=max(zA,zB);
+ Meta:= " input tableauVariation;
+ <span class="flyspell-duplicate">verbatimtex</span>
<span class="comment-delimiter">%</span><span class="comment">&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- <span class="flyspell-duplicate">etex</span>
- beginTableau("+<span class="flyspell-duplicate">nmr</span>+")
- newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> <span class="flyspell-duplicate">etex</span>);
+ etex
+ beginTableau("+nmr+")
+ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{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$</span> etex);
- newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$</span> <span class="flyspell-duplicate">etex</span>);"
+val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>);
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}}$</span> etex);"
+ if(a&gt;0){"moins;"}else{"plus;"}+
if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zA){si a&gt;0 alors "plus;"; sinon "moins;";fsi}
- else{si a&gt;0 alors "moins;"; sinon "plus;"; <span class="flyspell-duplicate">fsi</span>}+
+ else{si a&gt;0 alors "moins;"; sinon "plus;"; fsi}+
if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
if(a&gt;0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> <span class="flyspell-duplicate">etex</span>);"
+ +"
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);"
+ if(c&gt;0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
- if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>}
+ if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
else{si c&gt;0 alors "moins;"; sinon "plus;"; fsi}+
if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
if(c&gt;0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{("+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+")}}$</span> <span class="flyspell-duplicate">etex</span>);"
+ +"
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{("+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> <span class="flyspell-duplicate">etex</span>);"
+ si a*c&gt;0 alors plus; sinon moins;fsi+";"+
- "valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"+
- si a*c&gt;0 alors moins; sinon plus;<span class="flyspell-duplicate">fsi</span>+";"+
- "valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"+
+ "valBarre(btex 0 etex);"+
+ si a*c&gt;0 alors moins; sinon plus;fsi+";"+
+ "valBarre(btex 0 etex);"+
si a*c&gt;0 alors plus; sinon moins;fsi+";"+"
endTableau;
<span class="flyspell-duplicate">end</span>"
;
-<span class="flyspell-duplicate">return</span>(<span class="flyspell-duplicate">Meta</span>);
+return(Meta);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -653,22 +678,22 @@ endTableau;
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCas.in}
-<span class="flyspell-duplicate">maple</span>_mode(0);
+maple_mode(0);
read("XcasTabSign.meta");
Sortie:=fopen("XCasmp.mp");
vect.xcas.out := read("XCas.out");
-<span class="flyspell-duplicate">vxo</span> := vect.xcas.out;
-<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo);
-<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
+vxo := vect.xcas.out;
+dim.vxo := dim(vxo);
+nbr.line.vxo := dim.vxo;
Resultat:=cat(" ");
<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
-Resultat:=cat(Resultat,RslT);
+<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
<span class="flyspell-duplicate">fprint</span>(Sortie,Unquoted,Resultat);
-<span class="flyspell-duplicate">fclose</span>(Sortie);
+fclose(Sortie);
<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">{TSa}</span>
-{<span class="font-latex-sedate">\stepcounter</span>{TVn}<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCas.out}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSa</span></span><span class="function-name">}</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>&#163;&#181;]{XCas.out}}
{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
<span class="font-latex-sedate">\executGiacmp</span>{XCas.in}
@@ -677,27 +702,27 @@ Resultat:=cat(Resultat,RslT);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\includegraphics</span>{XCasmp.<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasQ.in}
-<span class="flyspell-duplicate">maple</span>_mode(0);
-<span class="flyspell-duplicate">read</span>("XcasTabSignQ.meta");
+maple_mode(0);
+read("XcasTabSignQ.meta");
Sortie:=fopen("XCasmpQ.mp");
<span class="flyspell-duplicate">vect</span>.xcas.out := read("XCasQ.out");
-vxo := vect.xcas.out;
+<span class="flyspell-duplicate">vxo</span> := vect.xcas.out;
<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo);
-<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
-<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
-<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
+nbr.line.vxo := dim.vxo;
+Resultat:=cat(" ");
+rslt := vxo[0]; RslT:=cat(rslt);
<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
-fprint(Sortie,Unquoted,Resultat);
+<span class="flyspell-duplicate">fprint</span>(Sortie,Unquoted,Resultat);
<span class="flyspell-duplicate">fclose</span>(Sortie);
<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">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">}</span>
-{<span class="font-latex-sedate">\stepcounter</span>{TVn}<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasQ.out}}
+{<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>&#163;&#181;]{XCasQ.out}}
{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
<span class="font-latex-sedate">\executGiacmp</span>{XCasQ.in}
@@ -706,28 +731,28 @@ fprint(Sortie,Unquoted,Resultat);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\includegraphics</span>{XCasmpQ.<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasL.in}
-<span class="flyspell-duplicate">maple</span>_mode(0);
-<span class="flyspell-duplicate">read</span>("XcasTabSignL.meta");
+maple_mode(0);
+read("XcasTabSignL.meta");
Sortie:=fopen("XCasmpL.mp");
<span class="flyspell-duplicate">vect</span>.xcas.out := read("XCasL.out");
-vxo := vect.xcas.out;
+<span class="flyspell-duplicate">vxo</span> := vect.xcas.out;
<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo);
-<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
-<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
-<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
+nbr.line.vxo := dim.vxo;
+Resultat:=cat(" ");
+rslt := vxo[0]; RslT:=cat(rslt);
<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
-fprint(Sortie,Unquoted,Resultat);
+<span class="flyspell-duplicate">fprint</span>(Sortie,Unquoted,Resultat);
<span class="flyspell-duplicate">fclose</span>(Sortie);
<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">{</span><span class="function-name"><span class="flyspell-duplicate">TS</span></span><span class="function-name">}</span>
-{<span class="font-latex-sedate">\stepcounter</span>{TVn}<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasL.out}}
+{<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>&#163;&#181;]{XCasL.out}}
{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
<span class="font-latex-sedate">\executGiacmp</span>{XCasL.in}
@@ -736,7 +761,7 @@ fprint(Sortie,Unquoted,Resultat);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\includegraphics</span>{XCasmpL.<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
}
@@ -746,59 +771,58 @@ fprint(Sortie,Unquoted,Resultat);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTV.in}
<span class="flyspell-duplicate">maple</span>_mode(0);
-read("XcasTV.meta");
+<span class="flyspell-duplicate">read</span>("XcasTV.meta");
Sortie:=fopen("XCasmpTV.mp");
-<span class="flyspell-duplicate">vect</span>.xcas.out := read("XCasTV.out");
-<span class="flyspell-duplicate">vxo</span> := vect.xcas.out;
-<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo);
+vect.xcas.out := read("XCasTV.out");
+vxo := vect.xcas.out;
+dim.vxo := dim(vxo);
<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
-Resultat:=cat(" ");
+<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
-<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,<span class="flyspell-duplicate">RslT</span>);
+Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
-<span class="flyspell-duplicate">fclose</span>(Sortie);
+fclose(Sortie);
<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">{TV}</span>
-{<span class="font-latex-sedate">\stepcounter</span>{TVn}<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTV.out}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasTV.in}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV}</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>&#163;&#181;]{XCasTV.out}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
+</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTV.in}
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost <span class="flyspell-duplicate">XCasmpTV</span>}
-
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\includegraphics</span>{XCasmpTV.<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
}
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-incorrect">XCasTVI</span>.in}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVI.in}
maple_mode(0);
-<span class="flyspell-duplicate">read</span>("<span class="flyspell-duplicate">XcasTVI</span>.<span class="flyspell-duplicate">meta</span>");
-Sortie:=<span class="flyspell-duplicate">fopen</span>("<span class="flyspell-incorrect">XCasmpTVI</span>.mp");
-<span class="flyspell-duplicate">vect</span>.xcas.out := read("<span class="flyspell-duplicate">XCasTVI</span>.out");
+<span class="flyspell-duplicate">read</span>("XcasTVI.meta");
+Sortie:=fopen("XCasmpTVI.mp");
+<span class="flyspell-duplicate">vect</span>.xcas.out := read("XCasTVI.out");
vxo := vect.xcas.out;
dim.vxo := dim(<span class="flyspell-duplicate">vxo</span>);
nbr.line.vxo := dim.<span class="flyspell-duplicate">vxo</span>;
-<span class="flyspell-duplicate">Resultat</span>:=<span class="flyspell-duplicate">cat</span>(" ");
-rslt := vxo[0]; RslT:=cat(<span class="flyspell-duplicate">rslt</span>);
+Resultat:=<span class="flyspell-duplicate">cat</span>(" ");
+rslt := vxo[0]; RslT:=cat(rslt);
<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,<span class="flyspell-duplicate">RslT</span>);
-fprint(Sortie,Unquoted,Resultat);
-fclose(Sortie);
+fprint(Sortie,Unquoted,<span class="flyspell-duplicate">Resultat</span>);
+<span class="flyspell-duplicate">fclose</span>(Sortie);
<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">{</span><span class="function-name"><span class="flyspell-duplicate">TVI</span></span><span class="function-name">}</span>
-{<span class="font-latex-sedate">\stepcounter</span>{TVn}<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasTVI</span>.out}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{<span class="flyspell-duplicate">XCasTVI</span>.in}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost <span class="flyspell-duplicate">XCasmpTVI</span>}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVI</span></span><span class="function-name">}</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>[<span class="flyspell-duplicate">commandchars</span>=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTVI.out}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
+</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTVI.in}
+ <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">mpost</span> XCasmpTVI}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{<span class="flyspell-duplicate">XCasmpTVI</span>.<span class="font-latex-sedate">\theTVn</span>}
+ <span class="font-latex-sedate">\includegraphics</span>{XCasmpTVI.<span class="font-latex-sedate">\theTVn</span>}
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
}
@@ -806,6 +830,7 @@ fclose(Sortie);
+
<span class="comment-delimiter">%%</span><span class="comment">
</span><span class="comment-delimiter">%% </span><span class="comment">Zi </span><span class="comment"><span class="flyspell-duplicate">end</span></span><span class="comment">
</span></pre>
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
new file mode 100644
index 00000000000..e97809a956e
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/Tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 6e198239a9f..ca2fe635dbb 100644
--- a/Master/texmf-dist/doc/latex/tablor/Tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -23,7 +23,7 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
\author{Guillaume \textsc{Connan} \\ \href{http://gconnan.free.fr}{http://gconnan.free.fr}}
-\date{17 janvier 2008 - Version 1.2}
+\date{21 janvier 2008 - Version 1.3}
\begin{document}
@@ -74,7 +74,9 @@ pour installer une nouvelle extension \LaTeX{}.
\item il faut avoir à disposition l'extension \texttt{fancyvrb};
\item pour ceux qui compilent avec \texttt{pdf\LaTeX{}}, il faut avoir effectué les petits réglages
- nécessaires à l'utilisation de figures produites par \texttt{MetaPOST};
+ nécessaires à l'utilisation de figures produites par \texttt{MetaPOST}. Pour cela, il suffit de
+ rajouter dans le préambule~:\\
+ \verb+\DeclareGraphicsRule{*}{mps}{*}{}+
\item il faut enfin installer le fichier \texttt{tablor.sty} dans son \texttt{texmf} personnel.
@@ -103,6 +105,15 @@ Le séparateur est le point virgule.
\bigskip
+ L'extension \verb+fancybox+ rentre en conflit avec \verb+fancyvrb+ qu'utilise
+ \verb+tablor+ car elles définissent toutes deux différemment l'environnement \verb+VerbatimOut+.
+
+\bigskip
+
+Quatre nouvelles commandes sont crées~:~\verb+\tv, \nettoyer, \bouger, \recup,\executGiacmp+.
+ Attention aux conflits si de tels noms exustent quelque part dans vos
+ fichiers personnels.
+
\section{Comment l'utiliser~?}
@@ -128,7 +139,7 @@ L'environnement s'appelle \texttt{TV}. On utilise une commande au format \texttt
%\xcas
\begin{lstlisting}
-TV([borne inf,borne sup],[valeurs interdites],"nom fonction","nom variable",expression en fonction de x,t,numero du tableau)
+TV([borne inf,borne sup],[valeurs interdites],"nom fonction","nom variable",expression en fonction de x,t,\tv)
\end{lstlisting}
\begin{itemize}
@@ -145,9 +156,7 @@ TV([borne inf,borne sup],[valeurs interdites],"nom fonction","nom variable",expr
ici toujours $x$ pour désigner la variable;
\item le paramètre \texttt{t} est à remplacer par 1 si vous voulez voir apparaître une ligne
avec le signe de la dérivée et par 0 si vous ne voulez pas de cette ligne.
-\item le \texttt{numero du tableau}, comme son nom l'indique, nécessite de numéroter dans l'ordre
- les tableaux créés par \texttt{tablor} dans votre document en commençant à un. La navigation entre
- \texttt{\LaTeX{}}, \texttt{MetaPOST}, \texttt{XCAS}, le \texttt{shell} complique un peu la gestion des compteurs...
+\item on termine par \verb+\tv+, une commande permettant de numéroter les tableaux en interne.
\end{itemize}
\lat
@@ -159,14 +168,14 @@ Voyons à présent quelques exemples.
\begin{lstlisting}
\begin{TV}
-TV([-5,7],[],"f","x",x^2,0,1)
+TV([-5,7],[],"f","x",x^2,0,\tv)
\end{TV}
\end{lstlisting}
et on obtient~:
\begin{TV}
-TV([-5,7],[],"f","x",x^2,0,1)
+TV([-5,7],[],"f","x",x^2,0,\tv)
\end{TV}
@@ -176,19 +185,19 @@ TV([-5,7],[],"f","x",x^2,0,1)
\begin{lstlisting}
\begin{TV}
-TV([-infinity,+infinity],[],"f","x",x^2,1,2)
+TV([-infinity,+infinity],[],"f","x",x^2,1,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([-infinity,+infinity],[],"f","x",x^2,1,2)
+TV([-infinity,+infinity],[],"f","x",x^2,1,\tv)
\end{TV}
\item Voici ce que cela donne pour $g~:~t\mapsto \frac{t^2}{t^2-1}$ sur $[-10; +\infty[$~:
\begin{lstlisting}
\begin{TV}
-TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,3)
+TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,\tv)
\end{TV}
\end{lstlisting}
@@ -196,7 +205,7 @@ TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,3)
\begin{TV}
-TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,3)
+TV([-10,+infinity],[-1,1],"g","t",x^2/(x^2-1),1,\tv)
\end{TV}
\end{center}
@@ -225,7 +234,7 @@ Par exemple, pour $f~:~x\mapsto \frac{x^2}{x^2-1}$ et l'équation $f(x)=10$ on en
\begin{lstlisting}
\begin{TVI}
-TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,4)
+TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,\tv)
\end{TVI}
\end{lstlisting}
@@ -233,7 +242,7 @@ TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,4)
et on obtient~:
\begin{TVI}
-TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,4)
+TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,\tv)
\end{TVI}
Les solutions sont notées $\alpha_1$, $\alpha_2$, etc.
@@ -243,7 +252,7 @@ Si l'équation est plutôt $f(x)=-1$~:
\begin{lstlisting}
\begin{TVI}
-TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,5)
+TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,\tv)
\end{TVI}
\end{lstlisting}
@@ -251,7 +260,7 @@ TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,5)
et on obtient~:
\begin{TVI}
-TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,5)
+TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,\tv)
\end{TVI}
@@ -264,15 +273,15 @@ Pour étudier le signe de $(-2x+3)(-x+5)$, on entre~:
\begin{lstlisting}
\begin{TSa}
- TSa(-2,3,-1,5,6);
+ TSa(-2,3,-1,5,\tv);
\end{TSa}
\end{lstlisting}
-Le 6 correspond au numéro du tableau dans le document. On obtient~:
+On obtient~:
\begin{TSa}
-TSa(-2,3,-1,5,6);
+TSa(-2,3,-1,5,\tv);
\end{TSa}
\subsubsection*{Cas du produit d'un nombre quelconque de facteurs quelconques}
@@ -284,15 +293,15 @@ Certains cas pathologiques ne vont pas fonctionner, mais sinon, pour ét
\begin{lstlisting}
\begin{TS}
- TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],7);
+ TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],\tv);
\end{TS}
\end{lstlisting}
-Le 7 correspond au numéro du tableau dans le document. On obtient~:
+ On obtient~:
\begin{TS}
- TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],7);
+ TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],\tv);
\end{TS}
@@ -312,7 +321,7 @@ Par exemple, pour étudier le signe de $\dfrac{(-2x+3)(-4x+5)}{(x^2-16)(x-2)}$~:
\begin{lstlisting}
\begin{TSq}
-TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],8)
+TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],\tv)
\end{TSq}
\end{lstlisting}
@@ -320,7 +329,7 @@ TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],8)
\begin{TSq}
-TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],8)
+TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],\tv)
\end{TSq}
\section{Nettoyage}
@@ -368,7 +377,7 @@ On peut également stocker les tableaux dans un autre dossier
\end{itemize}
-\pagebreak
+
\section{Galerie}
@@ -376,126 +385,131 @@ Voici quelques exemples de tableaux~:
\begin{lstlisting}
\begin{TVI}
-TVI([-1,+infinity],[-1],"f","x",x^2/sqrt(x+1)-1,1,2,9)
+TVI([-1,+infinity],[-1],"f","x",x^2/sqrt(x+1)-1,1,2,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-1,+infinity],[-1],"f","x",x^2/sqrt(x+1)-1,1,2,9)
+TVI([-1,+infinity],[-1],"f","x",x^2/sqrt(x+1)-1,1,2,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TVI}
-TVI([-1/2,+infinity],[],"f","x",x^2,1,2,10)
+TVI([-1/2,+infinity],[],"f","x",x^2,1,2,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-1/2,+infinity],[],"f","x",x^2,1,2,10)
+TVI([-1/2,+infinity],[],"f","x",x^2,1,2,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x),1,2,11)
+TVI([0,+infinity],[0],"f","x",ln(x),1,2,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x),1,2,11)
+TVI([0,+infinity],[0],"f","x",ln(x),1,2,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TV}
-TV([1,+infinity],[],"f","x",-ln(x),1,12)
+TV([1,+infinity],[],"f","x",-ln(x),1,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([1,+infinity],[],"f","x",-ln(x),1,12)
+TV([1,+infinity],[],"f","x",-ln(x),1,\tv)
\end{TV}
\begin{lstlisting}
\begin{TVI}
-TVI([-pi,pi],[],"f","x",cos(x),1,1/2,13)
+TVI([-pi,pi],[],"f","x",cos(x),1,1/2,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-pi,pi],[],"f","x",cos(x),1,1/2,13)
+TVI([-pi,pi],[],"f","x",cos(x),1,1/2,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TV}
-TV([0,2*pi],[],"f","x",cos(x),1,14)
+TV([0,2*pi],[],"f","x",cos(x),1,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([0,2*Pi],[],"f","x",cos(x),1,14)
+TV([0,2*Pi],[],"f","x",cos(x),1,\tv)
\end{TV}
-\fbox{ Il y aura des problèmes si vous demandez un tableau des variations d'une fonction
+
+\begin{figure}
+ \begin{DANGER}
+ Il y aura des problèmes si vous demandez un tableau des variations d'une fonction
périodique sur un intervalle
- d'amplitude supérieure à la période, mais est-ce vraiment utile ?...}
+ d'amplitude supérieure à la période, mais est-ce vraiment utile ?...
+ \end{DANGER}
+ \end{figure}
\begin{lstlisting}
\begin{TVI}
-TVI([0,pi],[pi/2],"h","t",tan(x),1,7,15)
+TVI([0,pi],[pi/2],"h","t",tan(x),1,7,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([0,pi],[pi/2],"h","t",tan(x),1,7,15)
+TVI([0,pi],[pi/2],"h","t",tan(x),1,7,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TVI}
-TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,16)
+TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,16)
+TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TV}
-TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,17)
+TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,17)
+TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,\tv)
\end{TV}
\begin{lstlisting}
\begin{TS}
-TS([-2*x+3,x-1,x+1,x^2+3*x+1],18);
+TS([-2*x+3,x-1,x+1,x^2+3*x+1],\tv);
\end{TS}
\end{lstlisting}
\begin{TS}
-TS([-2*x+3,x-1,x+1,x^2+3*x+1],18);
+TS([-2*x+3,x-1,x+1,x^2+3*x+1],\tv);
\end{TS}
\begin{lstlisting}
\begin{TVI}
-TVI([-infinity,+infinity],[],"f","x",(x+2)*exp(x-1)-1,1,0,19)
+TVI([-infinity,+infinity],[],"f","x",(x+2)*exp(x-1)-1,1,0,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-infinity,+infinity],[],"f","x",(x+2)*exp(x-1)-1,1,0,19)
+TVI([-infinity,+infinity],[],"f","x",(x+2)*exp(x-1)-1,1,0,\tv)
\end{TVI}
@@ -503,12 +517,12 @@ TVI([-infinity,+infinity],[],"f","x",(x+2)*exp(x-1)-1,1,0,19)
\begin{lstlisting}
\begin{TVI}
-TVI([-infinity,+infinity],[],"f","x",1+(-2*x+1)*exp(2*x),1,0,20)
+TVI([-infinity,+infinity],[],"f","x",1+(-2*x+1)*exp(2*x),1,0,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([-infinity,+infinity],[],"f","x",1+(-2*x+1)*exp(2*x),1,0,20)
+TVI([-infinity,+infinity],[],"f","x",1+(-2*x+1)*exp(2*x),1,0,\tv)
\end{TVI}
@@ -516,12 +530,12 @@ TVI([-infinity,+infinity],[],"f","x",1+(-2*x+1)*exp(2*x),1,0,20)
\begin{lstlisting}
\begin{TV}
-TV([0,+infinity],[],"f","x",ln(exp(x)+x)-x,1,21)
+TV([0,+infinity],[],"f","x",ln(exp(x)+x)-x,1,\tv)
\end{TV}
\end{lstlisting}
\begin{TV}
-TV([0,+infinity],[],"f","x",ln(exp(x)+x)-x,1,21)
+TV([0,+infinity],[],"f","x",ln(exp(x)+x)-x,1,\tv)
\end{TV}
@@ -530,22 +544,24 @@ TV([0,+infinity],[],"f","x",ln(exp(x)+x)-x,1,21)
\begin{lstlisting}
\begin{TVI}
-TVI([0,pi],[],"f","x",cos(x)-x,1,0,22)
+TVI([0,pi],[],"f","x",cos(x)-x,1,0,\tv)
\end{TVI}
\end{lstlisting}
\begin{TVI}
-TVI([0,pi],[],"f","x",cos(x)-x,1,0,22)
+TVI([0,pi],[],"f","x",cos(x)-x,1,0,\tv)
\end{TVI}
\begin{lstlisting}
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,23)
+TVI([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,\tv)
\end{TVI}
\end{lstlisting}
+
+
\begin{TVI}
-TVI([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,23)
+TVI([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,\tv)
\end{TVI}
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index fa48fb7905c..914fa524efa 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,7 +1,7 @@
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
\ProvidesPackage{tablor}
- [17/01/2008 v1.2
+ [21/01/2008 v1.3
la machine à créer des tableaux de signes et variations]
@@ -9,27 +9,27 @@
%% Crée 5 environnements :
%% tableau de signes de 2 facteurs affines
% \begin{TSa}
-% TSa(-2,3,-1,5,1);
+% TSa(-2,3,-1,5,\tv);
% \end{TSa}
% %%%%%% Pour des tableaux de plus de 2 facteurs
%
% \begin{TS}
-% TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],2);
+% TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],\tv);
% \end{TS}
%
% pour les tableaux de signes avec quotient
%\begin{TSq}
-%TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],3)
+%TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],\tv)
%%\end{TSq}
% un tableau de variation :
%
% \begin{TV}
-% TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,4)
+% TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,\tv)
% \end{TV}
%
% tableau avec valeurs intermédiares
%\begin{TVI}
-%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,1)
+%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,\tv)
%\end{TVI}
%%%
@@ -37,7 +37,7 @@
\newcommand{\nettoyer}{
\immediate\write18{rm XCasmp.mp* XCasmp.log XCasmp?.mp* XCasmp?.log XCasmpTV.mp* XCasmpTV.log *.out XCasmpTVI.mp* XCasmpTVI.log
- *.in *.meta *mpx*}}
+ *.in *.meta *mpx* *~}}
\newcommand{\bouger}[1]{
\immediate\write18{cp XCas* #1}}
@@ -50,6 +50,7 @@
\newcounter{TVn}
+\newcommand{\tv}{\theTVn}
\usepackage{fancyvrb}
%\usepackage[upright]{fourier}
@@ -83,12 +84,14 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:="
+newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
@@ -98,9 +101,11 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0;
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
+"}
lm0:=limite(f(x),x=Z[0],1)==-infinity;
- li:="newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
+ li:="
+newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1"}else{"0"}+
@@ -111,12 +116,15 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity;
lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
lp:=lp+if(member(Z[r],F)){
"limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
- else{"valPos(btex $"+latex(simplifier(f(Z[r])))+"$ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}
+ else{"valPos(btex $"+latex(simplifier(f(Z[r])))+"$
+ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+"}}}
}; }
lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$ etex,"}else{"nonDefBarre;limGauche(btex $"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$ etex,"}+
- if(kz==1){"1);"}else{"0);"};
+ if(kz==1){"1);"}else{"0);
+"};
intro:="input tableauVariation;
@@ -137,12 +145,14 @@ MetaL:= if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}}else{
if(nz>2){intro+"beginTableau("+nmr+")"+
l0+
@@ -150,13 +160,15 @@ lsi+lsp+lsf+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}
}
@@ -212,7 +224,8 @@ if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]
TestL:=(abs(LL[k])==abs(LL[k+1]));
if(TestS==0){ if( TestL==1 ){l0:=l0}else{
A:=A,aa;l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);"+"val(btex $\\alpha_"+aa+"$ etex);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);";kk:=kk+1}}
-l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);"};
+l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);
+"};
@@ -220,7 +233,8 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))=
k0:= evalf(limite(f(x),x=Z[0],1))> evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))> evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
+lsi:="
+newLigneSignes(btex $\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$ etex);"+
if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$ $ etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
@@ -251,8 +265,9 @@ lm0:=limite(f(x),x=Z[0],1)==-infinity;
TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
- li:="newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);"+
- if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
+ li:="
+newLigneVariations(btex $\\hbox{\\bf Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$ etex);
+"+ if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}
else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$ etex,"}+
if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex $ "+ao+" $ etex,0.5);"}else{" "};
@@ -317,12 +332,14 @@ MetaL:= if(ftt==0){if(nz>2){intro+"beginTableau("+nmr+")"+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}}else{
if(nz>2){intro+"beginTableau("+nmr+")"+
l0+
@@ -330,13 +347,15 @@ lsi+lsp+lsf+
li+
lp+
lf
-+"endTableau;
++"
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+
li+
lf
-+"endTableau;
++"
+endTableau;
end";}
};
@@ -378,7 +397,8 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
@@ -389,7 +409,8 @@ for(p:=0;p<=n-1;p++){lp:=" ";
lp:=lp+if(simplifier(L[p](Z[r]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p]((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}}+
if(simplifier(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(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins;
+ "}
};
@@ -469,12 +490,14 @@ pour u de 1 jusque nz-2 faire
fpour;
nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);";fpour;
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
for(p:=0;p<=n-1;p++){lp:=" ";
- li:=li+"newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+
+ li:=li+"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$ etex);"+
if(L[p](Z[0]-1.0)>0){"plus;"}else{"moins;"}+
for(r:=0; r<=nz-2;r++){
lp:=lp+if(simplifier(L[p](Z[r]))==0){"
@@ -544,7 +567,8 @@ val(btex $+\\infty$ etex);
else{si a>0 alors "moins;"; sinon "plus;"; fsi}+
if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
if(a>0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);"
+ +"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$ etex);"
+ if(c>0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi}
@@ -552,7 +576,8 @@ val(btex $+\\infty$ etex);
if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
if(c>0){"plus;"}else{"moins;"}
- +" newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);"
+ +"
+newLigneSignes(btex $\\hbox{\\bf Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$ etex);"
+ si a*c>0 alors plus; sinon moins;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c>0 alors moins; sinon plus;fsi+";"+
@@ -584,7 +609,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TSa}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCas.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCas.out}}
{\end{VerbatimOut}
\executGiacmp{XCas.in}
@@ -593,7 +618,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmp.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -613,7 +638,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TSq}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasQ.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasQ.out}}
{\end{VerbatimOut}
\executGiacmp{XCasQ.in}
@@ -622,7 +647,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmpQ.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -643,7 +668,7 @@ fclose(Sortie);
\end{VerbatimOut}
\newenvironment{TS}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasL.out}}
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasL.out}}
{\end{VerbatimOut}
\executGiacmp{XCasL.in}
@@ -652,7 +677,7 @@ fclose(Sortie);
\begin{center}
\includegraphics{XCasmpL.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -674,17 +699,16 @@ Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
\end{VerbatimOut}
-\newenvironment{TV}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasTV.out}}
-{\end{VerbatimOut}
- \executGiacmp{XCasTV.in}
+\newenvironment{TV}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTV.out}}%
+{\end{VerbatimOut}%
+ \executGiacmp{XCasTV.in}
\immediate\write18{mpost XCasmpTV}
-
\begin{center}
\includegraphics{XCasmpTV.\theTVn}
\end{center}
-
+\stepcounter{TVn}
}
@@ -704,17 +728,17 @@ Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
\end{VerbatimOut}
-\newenvironment{TVI}
-{\stepcounter{TVn}\VerbatimEnvironment\begin{VerbatimOut}{XCasTVI.out}}
-{\end{VerbatimOut}
- \executGiacmp{XCasTVI.in}
-
- \immediate\write18{mpost XCasmpTVI}
+\newenvironment{TVI}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\£µ]{XCasTVI.out}}%
+{\end{VerbatimOut}%
+ \executGiacmp{XCasTVI.in}
+ \immediate\write18{mpost XCasmpTVI}
\begin{center}
\includegraphics{XCasmpTVI.\theTVn}
\end{center}
+\stepcounter{TVn}
}
@@ -722,5 +746,6 @@ fclose(Sortie);
+
%%
%% Zi end