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authorKarl Berry <karl@freefriends.org>2008-01-23 00:40:35 +0000
committerKarl Berry <karl@freefriends.org>2008-01-23 00:40:35 +0000
commitd579186be6c4710e3d8e2c041dc74bf74268181b (patch)
tree08efa1f153ab834674731da7421136ab399281b7 /Master/texmf-dist/doc/latex/tablor/tablor.html
parent429c5536fba6b00fc5d57fd7da982d8f1e8a2f58 (diff)
tablor update (22jan08)
git-svn-id: svn://tug.org/texlive/trunk@6375 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor/tablor.html')
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html513
1 files changed, 269 insertions, 244 deletions
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>