diff options
author | Karl Berry <karl@freefriends.org> | 2009-08-21 23:50:26 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2009-08-21 23:50:26 +0000 |
commit | 26818a7ca7d93f98a728445e3c48c6e22ac704b8 (patch) | |
tree | 38cca680bdee23679ecc128e3f939031edc35028 /Master/texmf-dist/doc/latex/tablor | |
parent | 60961ff6e9cd5bde2a7a55e7099330f618ef0b87 (diff) |
tablor 4.04-h (21aug09)
git-svn-id: svn://tug.org/texlive/trunk@14803 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor')
-rw-r--r-- | Master/texmf-dist/doc/latex/tablor/tablor.html | 252 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/tablor/tablor.pdf | bin | 399555 -> 528840 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/latex/tablor/tablor.tex | 17 |
3 files changed, 145 insertions, 124 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html index 74c0c505ef4..9ef0c59695b 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -87,7 +87,7 @@ <body> <pre> <span class="font-latex-sedate">\NeedsTeXFormat</span>{LaTeX2e}[1995/12/01] -<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[14/05/2009 v4.04-f la machine a creer des tableaux de signes et variations] +<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[21/08/2009 v4.04-h la machine a creer des tableaux de signes et variations] <span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\copyleft</span></span><span class="comment"> Connan le Barbare (aka Guillaume Connan) </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment"> </span><span class="comment-delimiter">% </span><span class="comment">This work may be distributed and/or mofified under the conditions @@ -98,7 +98,7 @@ </span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.</span><span class="comment"><span class="flyspell-incorrect">html</span></span><span class="comment"> </span> -<span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements : +<span class="comment-delimiter">%% </span><span class="comment"><span class="flyspell-incorrect">Cree</span></span><span class="comment"> 16 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">TSa(-2,3,-1,5,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">); @@ -192,15 +192,15 @@ <span class="font-latex-sedate">\RequirePackage</span>{filecontents} <span class="font-latex-sedate">\RequirePackage</span>{ifthen} <span class="font-latex-sedate">\RequirePackage</span>{fancyvrb} -<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>} +<span class="font-latex-sedate">\RequirePackage</span>{ifpdf} -<span class="font-latex-sedate">\fvset</span>{<span class="flyspell-incorrect">gobble</span>=0} +<span class="font-latex-sedate">\fvset</span>{gobble=0} -<span class="comment-delimiter">% </span><span class="comment">option xcas </span><span class="comment"><span class="flyspell-duplicate">present</span></span><span class="comment"> +<span class="comment-delimiter">% </span><span class="comment">option xcas present </span> <span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false} -<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}} +<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}} <span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span> @@ -209,22 +209,22 @@ <span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix d'OS -</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>} +</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{false} <span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier exterieur pour la plateforme </span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur </span> -<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}} +<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.cfg}} </span> <span class="comment-delimiter">%% </span><span class="comment">Definit des commandes disque selon l'OS utilise </span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">% </span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{DEL } <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{TYPE } - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-incorrect">COPY</span> }}<span class="comment">% + <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{COPY }}<span class="comment">% </span> {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\rem</span></span><span class="function-name">}</span>{rm }<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cat</span></span><span class="function-name">}</span>{cat } - <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cp</span> }} + <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\cp</span></span><span class="function-name">}</span>{cp }} @@ -240,18 +240,18 @@ <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires </span> -<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.<span class="flyspell-incorrect">mpx</span>} +<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.mpx} } -<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers </span><span class="comment"><span class="flyspell-duplicate">metapost</span></span><span class="comment"> +<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers metapost </span> <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp} - <span class="flyspell-duplicate">end</span> + end <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span> @@ -264,7 +264,7 @@ <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nettoyer</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]<span class="comment">% -</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log queue.mp enteteMP.cfg session.tex config.<span class="flyspell-duplicate">cxx</span>} +</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log queue.mp enteteMP.cfg session.tex config.cxx} } @@ -286,7 +286,7 @@ <span class="comment-delimiter">%% </span><span class="comment">permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par defaut) -</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques </span><span class="comment"><span class="flyspell-incorrect">verifications</span></span><span class="comment"> : +</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques verifications : </span> <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\initablor</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]{<span class="comment">% @@ -294,16 +294,16 @@ </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">% Initialisation du compteur de tableaux. </span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option XCas </span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Si Tableaux.mp est present... -</span> {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}}<span class="comment">% le </span><span class="comment"><span class="flyspell-incorrect">detruire</span></span><span class="comment"> +</span> {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}}<span class="comment">% le detruire </span> {}<span class="comment">% -</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'entête de Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment"> +</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'entête de Tableaux.mp </span>} {<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Sans l'option XCas, si </span> <span class="comment">% Tableaux.mp existe </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode <span class="font-latex-sedate">\nomtravail</span>.Tab}}<span class="comment">% l'executer pour reconstituer les figures </span>{<span class="font-latex-sedate">\PackageWarning</span>{tablor}{Pas de source metapost pour creer les tableaux.}}<span class="comment">% sinon message d'erreur </span> <span class="comment">% (mais pas d'arret car les tableaux -</span> <span class="comment">% peuvent être </span><span class="comment"><span class="flyspell-incorrect">presents</span></span><span class="comment"> ) +</span> <span class="comment">% peuvent être presents ) </span>}}<span class="comment">% </span> @@ -313,7 +313,7 @@ <span class="font-latex-sedate">\makeatletter</span> <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\executGiacmp</span></span><span class="function-name">}</span>[1]{<span class="comment">% </span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">% -</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">giac</span> #1 }}<span class="comment">% +</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac #1 }}<span class="comment">% </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac <#1 }}} <span class="font-latex-sedate">\makeatother</span> @@ -335,22 +335,22 @@ </span> <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.cxx} -<span class="flyspell-duplicate">TV</span>(L,F,nom,nomv,f,ftt,trigo,nmr):={ -<span class="flyspell-duplicate">nl</span>:=size(L); +TV(L,F,nom,nomv,f,ftt,trigo,nmr):={ +nl:=size(L); f:=unapply(f,x); -<span class="flyspell-duplicate">fp</span>:=function_diff(f); +fp:=function_diff(f); Z:=concat(L,F); S:=[]; if(trigo==t){ -<span class="flyspell-duplicate">all</span>_trig_solutions:=1; +all_trig_solutions:=1; reset_solve_counter(-1,-1); SS:=solve(factor(simplify(fp(x))),x); ns:=size(SS); for(k:=0;k<ns;k++){ m:=0; -<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ +while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1; };m:=-1; while(evalf(subst(SS[k],n_1=m))>=L[0]){ @@ -373,7 +373,7 @@ nz:=size(Z); tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z); - <span class="flyspell-duplicate">ftantque</span>; + ftantque; @@ -385,7 +385,7 @@ nz:=size(Z); kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1])); if(kk==1){Z:=append(Z,simplify(S[j]))}; fpour - <span class="flyspell-duplicate">fsi</span>; + fsi; Z:=sort([op(set[op(Z)])]); @@ -398,11 +398,11 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1)); kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); -<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }} + if(evalf(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(evalf(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))))==1.0){"plus;"}else{"moins;"} }} if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0; lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ @@ -411,7 +411,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0; lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; "} -</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0:=limit(f(x),x=Z[0],1)==-infinity; +lm0:=limit(f(x),x=Z[0],1)==-infinity; li:=lvic+nom+"}$</span> etex);"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+ @@ -430,7 +430,7 @@ lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre; "}}} }; } -lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>; +lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity; @@ -438,24 +438,24 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ - if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+ + if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; -<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz>2){" +MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ l0+lsi+lsp+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ lsi+lsf+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; "; } @@ -463,7 +463,7 @@ lsi+lsf+" l0+ li+ lp+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; @@ -480,7 +480,7 @@ if(nz>2){"beginTableau("+nmr+")"+ lsi+lsp+lsf+ li+ lp+ -<span class="flyspell-duplicate">lf</span> +lf +" endTableau; @@ -490,13 +490,13 @@ lsi+lsf+ li+ lf +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} }} -sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -588,10 +588,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],FP)==0){ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],FP)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }} + if(evalf(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(evalf(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))))==1.0){"plus;"}else{"moins;"} }} if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.1))>0; lsp:=lsp+if(member(Z[r],FP)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ @@ -685,7 +685,7 @@ endTableau; }} -sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -793,10 +793,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ -if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ +if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }}} + if(evalf(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(evalf(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))))==1.0){"plus;"}else{"moins;"} }}} @@ -929,7 +929,7 @@ endTableau; }} -sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -969,7 +969,7 @@ nz:=size(z); -S:=op(<span class="flyspell-duplicate">fsolve</span>(fp(x),x)); +S:=op(fsolve(fp(x),x)); if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F; for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for} else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F; @@ -1023,10 +1023,10 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ - if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ + if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1){"plus;"}else{"moins;"} }} + if(evalf(sign(fp(Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(evalf(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))))==1.0){"plus;"}else{"moins;"} }} if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+ @@ -1228,10 +1228,13 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))= kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1)); lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ - if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ + if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1.0){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ - if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(evalf(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)))))==1.0){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ + if(evalf(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0])))==1.0){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> + <span class="font-latex-math">$ etex);"+ +if(evalf(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "}; + @@ -1377,7 +1380,7 @@ endTableau; -sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -1502,7 +1505,9 @@ lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> + <span class="font-latex-math">$ etex);"+ +if(evalf(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "}; @@ -1647,7 +1652,7 @@ endTableau; -sortie:=<span class="flyspell-duplicate">fopen</span>("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,MetaLfc); fclose(sortie); @@ -1688,7 +1693,7 @@ nz:=size(z); -S:=op(<span class="flyspell-duplicate">fsolve</span>(fp(x),x)); +S:=op(fsolve(fp(x),x)); if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F; for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for} else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F; @@ -1781,8 +1786,10 @@ lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+ if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+ if(sign(fp((Z[0]+10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+ - if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "}; + if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span> + <span class="font-latex-math">$ etex);"+ +if(evalf(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+ifte(Z[0]==-infinity,ifte(Z[1]==+infinity,ifte(member(0,F)==0,0,0.01),ifte(member(Z[1]-1,F)==0,Z[1]-1,Z[1]-1.1)),Z[0]))))==1.0){"plus;"}else{"moins;"}}else{" "}; @@ -1972,7 +1979,7 @@ fp:=append(fp,function_diff(f[d])); LLL:=concat(L,F[d]); Z:=LLL union Z; SS:=solve(factor(simplify(fp[d](t))),t); -ns:=size(<span class="flyspell-duplicate">SS</span>); +ns:=size(SS); for(k:=0;k<ns;k++){ if(trigo==t){ @@ -1988,7 +1995,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1; } }else{ -S:=concat(S,<span class="flyspell-duplicate">SS</span>); +S:=concat(S,SS); } } @@ -2009,12 +2016,12 @@ nz:=size(Z); -<span class="flyspell-duplicate">nz</span>:=size(Z); +nz:=size(Z); u:=1; tantque (u<nz-2) and (nz>2) faire tantque evalf(Z[u])==evalf(Z[u+1]) faire Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z); - <span class="flyspell-duplicate">ftantque</span>; + ftantque; u:=u+1; ftantque; @@ -2032,12 +2039,12 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+ lsi:="",""; -<span class="flyspell-duplicate">FFF</span>:=[[],[]]; +FFF:=[[],[]]; for(d:=0;d<=1;d++){ FFF[d]:=concat(F[d],[-infinity,+infinity]); k0:= evalf(limit(f[d](x),x=Z[0],1))> evalf(limit(f[d](x),x=Z[1],-1)); - kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))> evalf(limit(f[d](x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1)); + kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))> evalf(limit(f[d](x),x=Z[nz-2],1)); //} //<span class="font-latex-math">$ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre; @@ -2051,7 +2058,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp[d](Z[r]+0.01))>0; if(ksp==1){"plus;"}else{"moins;"} }; } -lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}<span class="flyspell-duplicate">else</span>{if(Z[nz-1]==+infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}} +lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}} @@ -2073,37 +2080,37 @@ lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-mat for(d:=0;d<=1;d++){ K0[d]:= evalf(limit(f[d](x),x=Z[0],1))> evalf(limit(f[d](x),x=Z[1],-1)); - Kz[d]:=evalf(limit(f[d](x),x,Z[nz-1],-1))> evalf(limit(f[d](x),x,Z[<span class="flyspell-duplicate">nz</span>-2],1)); + Kz[d]:=evalf(limit(f[d](x),x,Z[nz-1],-1))> evalf(limit(f[d](x),x,Z[nz-2],1)); //{ //<span class="font-latex-math">$ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity; li[d]:=lvic+nom[d]+"}$</span> etex);"+ - if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"} + if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"} else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+ if(K0[d]==1){"1"}else{"0"}+ ");"; - if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))< <span class="flyspell-duplicate">evalf</span>(limit(f[d](x),x=Z[r],-1)); + if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))< evalf(limit(f[d](x),x=Z[r],-1)); krp[d]:=evalf(limit(f[d](x),x=Z[r],1))> evalf(limit(f[d](x),x,Z[r+1],-1)) ; lmrm[d]:=limit(f[d](x),x,Z[r],-1)==-infinity;lmrp[d]:=limit(f[d](x),x,Z[r],1)==-infinity; lp[d]:=lp[d]+if(member(Z[r],F[d])){ "limGauche(btex <span class="font-latex-math">$"+if(lmrm[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],-1)))}+"$</span> - etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} + etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}} else{"valPos(btex <span class="font-latex-math">$"+latex(simplify(f[d](Z[r])))+"$</span> etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0); "}}} }; } -<span class="flyspell-duplicate">lnz</span>[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity; +lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity; lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+ if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(Kz[d]==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}} + if(Kz[d]==1){"1);"}else{"0);"}} else{"limGauche(btex <span class="font-latex-math">$"+ if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+ - if(Kz[d]==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}}; + if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}}; @@ -2119,17 +2126,17 @@ lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$" -<span class="flyspell-duplicate">MetaLfc</span>:=if(ftt==2){if(nz>2){" +MetaLfc:=if(ftt==2){if(nz>2){" beginTableau("+nmr+")"+ l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{ intro+"beginTableau("+nmr+")"+ l0+ lsi[0]+lsf[0]+lsi[1]+lsf[1]+" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; "; } @@ -2137,24 +2144,24 @@ lsi[0]+lsf[0]+lsi[1]+lsf[1]+" l0+ li[0]+ lp[0]+ -<span class="flyspell-duplicate">lf</span>[0]+ +lf[0]+ li[1]+ lp[1]+ lf[1] +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ li[0]+ lf[0]+ li[1]+ -<span class="flyspell-duplicate">lf</span>[1] +lf[1] +" endTableau; ";}}else{ -if(nz>2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+ +if(nz>2){"beginTableau("+nmr+")"+ l0+ lsi[0]+lsp[0]+lsf[0]+ li[0]+ @@ -2165,7 +2172,7 @@ li[1]+ lp[1]+ lf[1] +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";}else{"beginTableau("+nmr+")"+ l0+ @@ -2176,7 +2183,7 @@ lsi[1]+lsf[1]+ li[1]+ lf[1] +" -<span class="flyspell-duplicate">endTableau</span>; +endTableau; ";} } @@ -2241,7 +2248,7 @@ S:=solve(L[k](x),x); if(S[j]>mini and S[j]<maxi){Z:=Z,simplify(S[j]);} fpour; fsi; -<span class="flyspell-duplicate">fpour</span>; +fpour; @@ -2256,7 +2263,7 @@ nz:=size(Z); nz:=size(Z); -if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);"; +if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" @@ -2269,7 +2276,7 @@ if(L[p]((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)>0){"plus;"}else{"moins;"}; -</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:=" beginTableau("+nmr+") +MetaLfc:=" beginTableau("+nmr+") newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+li+ lsic+nomf+"(x)}$</span> etex);"+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){" @@ -2394,7 +2401,7 @@ S:=concat(S,solve(L[k](x),x)); if(S[j]>mini and S[j]<maxi){Z:=Z,simplify(S[j]);} fpour; fsi; -<span class="flyspell-duplicate">fpour</span>; +fpour; pour k de 0 jusque m-1 faire @@ -2425,7 +2432,7 @@ SF:=concat(SF,solve(Fo[k](x),x)); if(SF[j]>mini and SF[j]<maxi){F:=F,simplify(SF[j]);} fpour; fsi; -<span class="flyspell-duplicate">fpour</span>; +fpour; @@ -2436,7 +2443,7 @@ Z:=sort([op(set[op(Z)])]); nz:=size(Z); -if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);"; +if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; for(p:=0;p<=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+ if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" @@ -2470,7 +2477,7 @@ endTableau; l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" "; -pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>); +pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); ";fpour; l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; @@ -2485,21 +2492,21 @@ for(p:=0;p<=n-1;p++){lp:=""; li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+ if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins; - "}+if(maxi!=+infinity and L[p](maxi)==0){"valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{" "} + "}+if(maxi!=+infinity and L[p](maxi)==0){"valBarre(btex 0 etex);"}else{" "} }; pour t de 0 jusque nz-2 faire lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)>0){"plus;"}else{"moins;"}+ - if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"} + if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"} fpour -</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:=" -</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+nmr+") +MetaLfc:=" +beginTableau("+nmr+") newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex); "+l0+ li @@ -2544,12 +2551,12 @@ fclose(sortie); <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSigna.cxx} -<span class="flyspell-duplicate">TSa</span>(a,b,c,d,nmr):={ +TSa(a,b,c,d,nmr):={ zA:=solve(a*x+b=0,x)[0]; zB:=solve(c*x+d=0,x)[0]; zmin:=min(zA,zB); zmax:=max(zA,zB); - <span class="flyspell-duplicate">Meta</span>:= " + Meta:= " beginTableau("+nmr+") newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex); val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex); @@ -2567,7 +2574,7 @@ val(btex <span class="font-latex-math">$+\\infty$</span> etex); if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+ if(zmin==zB){si c>0 alors "plus;"; sinon "moins;";fsi} else{si c>0 alors "moins;"; sinon "plus;"; fsi}+ - if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+ + if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+ if(c>0){"plus;"}else{"moins;"} +lsic+"{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}<span class="font-latex-math">$ etex);" @@ -2582,7 +2589,7 @@ endTableau; -sortie:=</span><span class="font-latex-math"><span class="flyspell-duplicate">fopen</span></span><span class="font-latex-math">("XCasmpfc.mp"); +sortie:=fopen("XCasmpfc.mp"); fprint(sortie,Unquoted,Meta); fclose(sortie); @@ -2602,8 +2609,9 @@ fclose(sortie); -<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTSc.cxx} -<span class="flyspell-duplicate">TSc</span>(g,D,F,trigo,nmr):={ +<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTSc</span>.<span class="flyspell-duplicate">cxx</span>} + +TSc(g,D,F,trigo,nmr):={ f:=unapply(g,x); mini:=D[0]; maxi:=D[1];lm:=" "; Z:=mini,maxi; @@ -2615,13 +2623,13 @@ if(trigo==t){ all_trig_solutions:=1; reset_solve_counter(-1,-1); SS:=solve(factor(simplify(f(x))),x); -<span class="flyspell-duplicate">ns</span>:=size(SS); +ns:=size(SS); for(j:=0;j<ns;j++){ m:=0; while(evalf(simplify(subst(SS[j],n_1=m)))<=evalf(maxi)){ S:=concat(S,simplify(subst(SS[j],n_1=m)));m:=m+1; };m:=-1; -<span class="flyspell-duplicate">while</span>(evalf(subst(SS[j],n_1=m))>=evalf(mini)){ +while(evalf(subst(SS[j],n_1=m))>=evalf(mini)){ S:=concat(S,simplify(subst(SS[j],n_1=m)));m:=m-1; } } @@ -2634,19 +2642,19 @@ S:=solve(f(x),x); -if(size(S)==0){ +if(size(S)==0 and size(F)==0){ l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);"; li:=if(member(mini,F)!=0){"nonDefBarre;"}else{if(mini!=-infinity and f(mini)==0){" - valBarre(btex 0 etex);"}else{" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}}+ -if(mini!=-infinity or maxi!=+infinity){if(f((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}}else{if(f(0)>0){"plus;"}else{"moins;"}}; -lf:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0){" - valBarre(btex 0 etex);"}else{" +if(mini!=-infinity or maxi!=+infinity){if(f((mini+maxi)*0.5>0)){"plus;"}else{"moins;"}}else{if(f(0.3145274774464545777744)>0){"plus;"}else{"moins;"}}; +<span class="flyspell-duplicate">lf</span>:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0){" + valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}}; -} -<span class="flyspell-duplicate">else</span>{pour j de 0 jusque size(S)-1 faire +}else{ +if(size(S!=0)){pour j de 0 jusque size(S)-1 faire if(S[j]>mini and S[j]<maxi){Z:=Z,simplify(S[j])}; - fpour; + fpour} Z:=concat([Z],F); @@ -2660,42 +2668,43 @@ li:=if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{if(member(mini,F)==0){" "}else{"nonDefBarre;"}}+ if(f((mini+maxi)*0.5)>0){"plus;"}else{"moins;"}; -lf:=if(maxi!=+infinity and f(maxi)==0){" +lf:=if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){" valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){" - "}else{"nonDefBarre;"} + "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }; }else{ l0:="val(btex <span class="font-latex-math">$"+latex(Z[0])+"$</span> etex);";li:=" "; -pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>); +pour m de 1 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex); "; -fpour; +<span class="flyspell-duplicate">fpour</span>; li:= if(mini!=-infinity and f(mini)==0){" valBarre(btex 0 etex);"}else{if(member(mini,F)==0){" - "}else{"nonDefBarre;"} + "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} } lm:=if(nz>2){for(r:=0; r<nz-2;r++){lm:=lm+if(Z[r]==-infinity){ if(f((Z[r+1]-1))>0){"plus;"}else{"moins;"} }else{if(f((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}} + - if(member(Z[r+1],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"} + if(member(Z[r+1],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }}else{" "}; -lf:=if(f(Z[nz-2]+0.1)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){" +lf:=if(f(Z[nz-2]+0.1)>0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"<span class="flyspell-duplicate">valBarre</span>(btex 0 etex);"}else{if(member(maxi,F)==0){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} }; -}}; +} +}; -MetaLfc:=" +<span class="flyspell-duplicate">MetaLfc</span>:=" beginTableau("+nmr+") -newLigneVariables(btex <span class="font-latex-math">$\\displaystyle {x}$</span> etex); +<span class="flyspell-duplicate">newLigneVariables</span>(btex <span class="font-latex-math">$\\displaystyle {x}$</span> etex); "+l0+lsic+latex(f(x))+"}<span class="font-latex-math">$ etex);"+ li+lm+lf +" @@ -2712,7 +2721,6 @@ fprint(sortie,Unquoted,MetaLfc); </span><span class="font-latex-math"><span class="flyspell-duplicate">fclose</span></span><span class="font-latex-math">(sortie); }:; - </span><span class="font-latex-sedate"><span class="keyword"><span class="font-latex-math">\end</span></span></span><span class="function-name"><span class="font-latex-math">{VerbatimOut}</span></span><span class="font-latex-math"> @@ -2739,7 +2747,7 @@ fprint(sortie,Unquoted,MetaLfc); </span> <span class="comment">% exporter le source mp </span> <span class="comment">% puis lancer metapost pour creer </span> <span class="comment">% l'image du tableau -</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp} +</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="flyspell-duplicate">mp</span>} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> enteteMP.cfg >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp >> <span class="font-latex-sedate">\nomtravail</span>.Tab#1.mp} diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf Binary files differindex babac2ec59e..14d44869295 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf +++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex index c8ac39a2a28..4b876c73ac9 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.tex +++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex @@ -1,3 +1,14 @@ +% \copyleft Connan le Barbare (aka Guillaume Connan) \copyright +% This work may be distributed and/or mofified under the conditions +% or the LaTeX Project Public Licence, either v1.3 or (at your option) +% any later version. The latest version is in +% http://www.latex-project.org/lppl/ +% This work consists of the files tablor.sty, tablor-xetex.sty, tablor.cfg, tablor.tex, +% tablor.pdf and tablor.html + + + + \documentclass[12pt]{article} \usepackage[height=250mm,width=183mm]{geometry} \usepackage[latin1]{inputenc} @@ -8,7 +19,7 @@ \usepackage{luximono} %\usepackage[upright]{fourier} -\usepackage[xcas]{tablor} +\usepackage{tablor} \usepackage{listings,keystroke} \usepackage{graphicx,bclogo,amssymb,amsbsy,amsfonts,amstext,amscd,amsopn,amsxtra} @@ -86,7 +97,7 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com avec l'efficace participation de Jean-Michel \textsc{Boucart}\\ Forum d'aide ~:~\href{http://gconnan.free.fr/punbb/upload/index.php}{http://gconnan.free.fr/punbb/upload/index.php}} -\date{19 avril 2009 - Version 4.04-d} +\date{21 août 2009 - Version 4.04-h} @@ -179,6 +190,8 @@ précédentes). Des bugs dans TVapp et TVIapp corrigés (version 4.04-c... puis 4.04-d). +Bug dans TVc (version 4.04-h) + \subsection{Professor.sty} |