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-rw-r--r--Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdfbin9671406 -> 9020920 bytes
-rw-r--r--Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zipbin2286437 -> 2300789 bytes
-rw-r--r--Master/texmf-dist/metapost/profcollege/PfCGeometrie.mp426
-rw-r--r--Master/texmf-dist/metapost/profcollege/PfCScratch.mp2
-rw-r--r--Master/texmf-dist/metapost/profcollege/PfCScratchpdf.mp2
-rw-r--r--Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty1257
6 files changed, 1585 insertions, 102 deletions
diff --git a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
index 4e59174d84c..562263c9210 100644
--- a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
+++ b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
index aeb6ba27535..bddd5c7bc6b 100644
--- a/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
+++ b/Master/texmf-dist/doc/latex/profcollege/ProfCollege-doc.zip
Binary files differ
diff --git a/Master/texmf-dist/metapost/profcollege/PfCGeometrie.mp b/Master/texmf-dist/metapost/profcollege/PfCGeometrie.mp
index 3c5ed4be0d0..dd49ba8c3b3 100644
--- a/Master/texmf-dist/metapost/profcollege/PfCGeometrie.mp
+++ b/Master/texmf-dist/metapost/profcollege/PfCGeometrie.mp
@@ -1534,4 +1534,430 @@ vardef compas(expr centre,extre,n)=
piccompas
enddef;
+%Grilles
+boolean orig,uni;
+orig=false;
+uni=false;
+
+vardef origine(expr p)=
+ x.origine:=x.so+xpart(p)*quad.u;
+ y.origine:=y.so+ypart(p)*quad.u;
+ orig:=true;
+enddef;
+
+vardef unites(expr g,h)=
+ x.u:=g*cm;
+ y.u:=h*cm;
+ uni:=true;
+enddef;
+
+vardef axes=
+ path axehor,axever;
+ axehor=(x.so*cm,y.origine)--(x.ne*cm,y.origine);
+ axever=(x.origine,y.so*cm)--(x.origine,y.ne*cm);
+ picture axx;
+ axx=image(
+ drawarrow (x.so*cm,y.origine)--(x.ne*cm,y.origine);
+ drawarrow (x.origine,y.so*cm)--(x.origine,y.ne*cm);
+ label.llft(btex $O$ etex,z.origine);
+ );
+ axx
+enddef;
+
+vardef axesvide=
+ path axehor,axever;
+ axehor=(x.so*cm,y.origine)--(x.ne*cm,y.origine);
+ axever=(x.origine,y.so*cm)--(x.origine,y.ne*cm);
+ picture axxx;
+ axxx=image(
+ drawarrow (x.so*cm,y.origine)--(x.ne*cm,y.origine);
+ drawarrow (x.origine,y.so*cm)--(x.origine,y.ne*cm);
+ );
+ axxx
+enddef;
+
+vardef axesvideorigine=
+ path axehor,axever;
+ axehor=(x.origine,y.origine)--(x.ne*cm,y.origine);
+ axever=(x.origine,y.origine)--(x.origine,y.ne*cm);
+ picture axxx;
+ axxx=image(
+ drawarrow (x.origine,y.origine)--(x.ne*cm,y.origine);
+ drawarrow (x.origine,y.origine)--(x.origine,y.ne*cm);
+ );
+ axxx
+enddef;
+
+def enplace=
+ if orig:
+ xscaled x.u yscaled y.u shifted (z.origine)
+ else:
+ xscaled x.u yscaled y.u shifted (z.so)
+ fi
+enddef;
+
+vardef placepoint(expr q,r)=
+ (q,r) enplace
+enddef;
+
+vardef pp(expr qq,rr)=placepoint(qq,rr)
+enddef;
+
+def replace=
+ xscaled (1/x.u) yscaled (1/y.u) shifted (-z.origine)
+enddef;
+
+def retrouvecoord(expr p)=%trasnforme les coordonées du point d'affixe p dans le repère absolu de metapost en les coordonnées du point dans le repère défini par l'utilisateur
+ p replace
+enddef;
+
+vardef placepointtri(expr q,r)=
+ save $;
+ pair $;
+ if orig:
+ $=z.origine shifted (q*(x.u,0)+r*(x.u/2,y.u));
+ else:
+ $=z.so*cm shifted (q*(x.u,0)+r*(x.u/2,y.u));
+ fi;
+ $
+enddef;
+
+vardef pptri(expr qq,rr)=placepointtri(qq,rr)
+enddef;
+
+vardef placepointiso(expr q,r)=
+ save $;
+ pair $;
+ $=if orig: z.origine else: (z.so+((sqrt(3)/2),0.5))*cm fi shifted (q*(sqrt(3)*cm,0)+0.5*r*cm*(sqrt(3),1));
+ $
+enddef;
+
+vardef ppiso(expr qq,rr)=placepointiso(qq,rr)
+enddef;
+
+vardef reperehexa(expr colo,lign)=
+ save $;
+ path $;
+ if (colo mod 2)=1:
+ $=(hexa shifted(0.5cm,0)) shifted((colo-1)*1.5*cm,(lign-1)*2*((sqrt 3)/2)*cm);
+ else:
+ $=(hexa shifted(0.5cm,0)) shifted((colo-1)*1.5*cm,((lign-1)*2+1)*((sqrt 3)/2)*cm);
+ fi;
+ $
+enddef;
+
+vardef Centrehexa(expr colo,lign)=
+ save $;
+ pair $;
+ if (colo mod 2)=1:
+ $=(centrehexa shifted(0.5cm,0)) shifted((colo-1)*1.5*cm,(lign-1)*2*((sqrt 3)/2)*cm);
+ else:
+ $=(centrehexa shifted(0.5cm,0)) shifted((colo-1)*1.5*cm,((lign-1)*2+1)*((sqrt 3)/2)*cm);
+ fi;
+ $
+enddef;
+
+%%Les grilles
+
+vardef grille(expr t)=
+ save gri;
+ picture gri;
+ orig:=false;
+ x.u:=t*cm;
+ y.u:=t*cm;
+ quad.u:=t*cm;
+ gri=image(
+ path p[];
+ %horizontale
+ p1:=(x.so*cm,0)--(x.ne*cm,0);
+ %verticale
+ p2:=(0,y.so*cm)--(0,y.ne*cm);
+ %options
+ %horizontales
+ for i:=0 step t until (y.ne-y.so):
+ draw p1 shifted (0,i*cm);
+ endfor;
+ %verticales
+ for i:=0 step t until (x.ne-x.so) :
+ draw p2 shifted (i*cm,0);
+ endfor;
+ );
+ gri
+enddef;
+
+vardef papiermillimetre=
+ save $;
+ picture $;
+ orig:=false;
+ x.u:=1cm;
+ y.u:=1cm;
+ quad.u:=1cm;
+ $=image(
+ path p[];
+ %horizontale
+ p1:=(x.so*cm,0)--(x.ne*cm,0);
+ %verticale
+ p2:=(0,y.so*cm)--(0,y.ne*cm);
+ %grille millimétrique
+ pickup pencircle scaled 0.2;
+ %horizontales
+ for j:=y.so step 0.1 until y.ne:
+ draw p1 shifted (0,j*cm);
+ endfor;
+ %verticales
+ for j:=x.so step 0.1 until x.ne :
+ draw p2 shifted (j*cm,0);
+ endfor;
+ %grille demi-centimétrique
+ pickup pencircle scaled 0.5;
+ %horizontales
+ for j:=y.so step 0.5 until y.ne:
+ draw p1 shifted (0,j*cm);
+ endfor;
+ %verticales
+ for j:=x.so step 0.5 until x.ne :
+ draw p2 shifted (j*cm,0);
+ endfor;
+ %grille centimétrique
+ pickup pencircle scaled 0.7;
+ %horizontales
+ for j:=y.so step 1 until y.ne:
+ draw p1 shifted (0,j*cm);
+ endfor;
+ %verticales
+ for j:=x.so step 1 until x.ne :
+ draw p2 shifted (j*cm,0);
+ endfor;
+ %grille penta-centimétrique
+ pickup pencircle scaled 1;
+ %horizontales
+ for j:=y.so step 5 until y.ne:
+ draw p1 shifted (0,j*cm);
+ endfor;
+ %verticales
+ for j:=x.so step 5 until x.ne :
+ draw p2 shifted (j*cm,0);
+ endfor;
+ );
+ $
+enddef;
+
+vardef Pointe(text t)=
+ for p_=t: if pair p_:
+ fill fullcircle scaled 1mm shifted p_;
+ fi;
+ endfor;
+enddef;
+
+vardef papiercahier=
+ save $;
+ orig:=false;
+ picture $;
+ x.u:=8mm;
+ y.u:=8mm;
+ quad.u:=8mm;
+ $=image(
+ path p[];
+ %horizontale
+p1:=(x.so*cm,0)--(x.ne*cm,0);
+ %verticale
+p2:=(0,y.so*cm)--(0,y.ne*cm);
+ %grille 2-millimétrique
+ pickup pencircle scaled 0.5;
+ %lignes horizontales
+ for i:=y.ne step -0.2 until y.so:
+ draw p1 shifted (0,i*cm);
+ endfor;
+ %grille 8-millimétrique
+ pickup pencircle scaled 1bp;
+ %lignes horizontales
+ for i:=y.ne step -0.8 until y.so:
+ draw p1 shifted (0,i*cm);
+ endfor;
+ %lignes verticales
+ for i:=x.so step 0.8 until (x.ne+1):
+ draw p2 shifted (i*cm,0);
+ endfor;
+ );
+ $
+enddef;
+
+vardef papierdeuxlignes=
+ save $;
+ orig:=false;
+ picture $;
+ x.u:=8mm;
+ y.u:=6mm;
+ $=image(
+ path p[];
+ %horizontale
+ p1:=(x.so*cm,0)--(x.ne*cm,0);
+ %grille 2-millimétrique
+ pickup pencircle scaled 0.5;
+ %lignes horizontales
+ for i:=y.so+0.2 step 0.6 until y.ne:
+ draw p1 shifted (0,i*cm);
+ endfor;
+ %grille 8-millimétrique
+ pickup pencircle scaled 1;
+ %lignes horizontales
+ for i:=y.so step 0.6 until y.ne:
+ draw p1 shifted (0,i*cm);
+ endfor;
+ );
+ $
+enddef;
+
+vardef papierpointe=
+ save $;
+ picture $;
+ orig:=false;
+ x.u:=5mm;
+ y.u:=5mm;
+ quadu:=5mm;
+ $=image(
+ for i:=0 upto 2*(xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ for j:=0 upto 2*(ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm))):
+ fill ((fullcircle scaled 1bp shifted(z.so*cm)) shifted ((i/2,j/2)*cm));
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
+vardef papiertriangle=
+ save $;
+ orig:=false;
+ if uni=false:
+ x.u:=1cm;
+ y.u:=(sqrt(3)/2)*cm;
+ fi;
+ picture $;
+ $=image(
+ path p[];
+ %triangle haut
+ %p1:=(x.so*cm,0)--(x.so*cm+1cm,0)--((x.so*cm,0) rotatedabout((x.so*cm+1cm,0),-60))--cycle;
+ p1:=(x.so*cm,0)--(x.so*cm+x.u,0)--((x.so*cm,0) rotatedabout((x.so*cm+x.u,0),-60))--cycle;
+ %triangle bas
+ %p2:=((x.so*cm,0)--(x.so*cm+1cm,0)--((x.so*cm,0) rotatedabout((x.so*cm+1cm,0),60))--cycle) shifted (-0.5cm,((sqrt3)/2)*cm);
+ p2:=((x.so*cm,0)--(x.so*cm+x.u,0)--((x.so*cm,0) rotatedabout((x.so*cm+x.u,0),60))--cycle) shifted (-x.u/2,y.u);
+ %grille horizontale1
+ pickup pencircle scaled 0.5;
+ numeric etag;
+ etag=floor(2*cm*(ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm)))/(y.u))+1;
+ for i:=0 step 2 until etag:
+ for j:=0 upto (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ draw p1 shifted (j*x.u,i*y.u);
+ draw p2 shifted (j*x.u,i*y.u);
+ endfor
+ endfor;
+ %grille horizontale 2
+ pickup pencircle scaled 0.5;
+ for i:=1 step 2 until etag:
+ for j:=0 upto (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ draw p1 shifted ((j-1/2)*x.u,i*y.u);
+ draw p2 shifted ((j+1/2)*x.u,i*y.u);
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
+vardef papiertrianglepointe=
+ save $;
+ orig:=false;
+ if uni=false:
+ x.u:=1cm;
+ y.u:=(sqrt(3)/2)*cm;
+ fi;
+ picture $;
+ $=image(
+ pickup pencircle scaled 0.5;
+ numeric etag;
+ etag=floor(2*cm*(ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm)))/(y.u))+1;
+ for i:=0 step 2 until etag:
+ for j:=0 upto (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ fill (fullcircle scaled 1bp shifted(z.so*cm)) shifted (j*x.u,i*y.u);
+ endfor
+ endfor;
+ for i:=1 step 2 until etag:
+ for j:=0 upto (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ fill (fullcircle scaled 1bp shifted(z.so*cm)) shifted ((j-1/2)*x.u,i*y.u);
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
+vardef papierisometriquepointe=
+ save $;
+ orig:=false;
+ y.u:=1cm;
+ x.u:=(sqrt(3)/2)*cm;
+ picture $;
+ $=image(
+ %grille horizontale1
+ pickup pencircle scaled 0.5;
+ for i:=0 step 1 until (ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm))):
+ for j:=0 step 2 until (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))+2):
+ fill (fullcircle scaled 1bp shifted (z.so*cm)) shifted (j*((sqrt3)/2)*cm,i*cm);
+ endfor
+ endfor;
+ %grille horizontale 2
+ for i:=0 step 1 until (ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm))-1):
+ for j:=1 step 2 until (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))+1):
+ fill (fullcircle scaled 1bp shifted (z.so*cm)) shifted (j*((sqrt3)/2)*cm,(i+0.5)*cm);
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
+vardef papierisometrique=
+ save $;
+ orig:=false;
+ x.u:=(sqrt(3)/2)*cm;
+ y.u:=1cm;
+ picture $;
+ $=image(
+ path p[];
+ %triangle haut
+ p1:=(x.so*cm,1cm)--((x.so*cm,0) rotatedabout((x.so*cm,1cm),60))--(x.so*cm,0);
+ %triangle bas
+ p2:=((x.so*cm,1cm)--((x.so*cm,0) rotatedabout((x.so*cm,1cm),-60))--(x.so*cm,0)) shifted (((sqrt3)/2)*cm,0);
+ %grille horizontale1
+ pickup pencircle scaled 0.5;
+ for i:=0 step 2 until (xpart(retrouvecoord(z.ne*cm))-xpart(retrouvecoord(z.so*cm))):
+ for j:=0 upto (ypart(retrouvecoord(z.ne*cm))-ypart(retrouvecoord(z.so*cm))-1):
+ draw p1 shifted (i*((sqrt3)/2)*cm,j*cm);
+ draw p2 shifted ((i+1)*((sqrt3)/2)*cm,j*cm);
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
+vardef papierhexagonal=
+ save $;
+ picture $;
+ orig:=false;
+ path hexa;
+ %hexagone de départ
+ hexa:=z.so*cm--(x.so*cm+1cm,y.so*cm)--(z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120))--((x.so*cm+1cm,y.so*cm) rotatedabout((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)),-120))--((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)) rotatedabout(((x.so*cm+1cm,y.so*cm) rotatedabout((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)),-120)),-120))--(((x.so*cm+1cm,y.so*cm) rotatedabout((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)),-120)) rotatedabout(((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)) rotatedabout(((x.so*cm+1cm,y.so*cm) rotatedabout((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)),-120)),-120)),-120))--cycle;
+ $=image(
+ pair centrehexa;
+ centrehexa=1/2[z.so*cm,((x.so*cm+1cm,y.so*cm) rotatedabout((z.so*cm rotatedabout((x.so*cm+1cm,y.so*cm),-120)),-120))];
+ pickup pencircle scaled 0.5;
+ numeric etag;
+ etag=floor((abs(y.ne*cm-y.so*cm))/((sqrt(3)/2)*cm));
+ for i:=0 step 3 until (abs(x.ne*cm-x.so*cm)/1cm):
+ for j:=0 step 2 until etag:
+ draw hexa shifted ((i+0.5)*cm,j*((sqrt 3)/2)*cm);
+ draw hexa shifted ((i+2)*cm,(j+1)*((sqrt 3)/2)*cm);
+ endfor
+ endfor;
+ );
+ $
+enddef;
+
endinput;
diff --git a/Master/texmf-dist/metapost/profcollege/PfCScratch.mp b/Master/texmf-dist/metapost/profcollege/PfCScratch.mp
index 10a8972ef85..3c6826777a7 100644
--- a/Master/texmf-dist/metapost/profcollege/PfCScratch.mp
+++ b/Master/texmf-dist/metapost/profcollege/PfCScratch.mp
@@ -1858,7 +1858,7 @@ vardef Sinon=
drawoptions();
texto=image(
labeloffset:=0;
- label.lrt(TEX("\barre\,\hbox to"&decimal(LongRep[numblocrep])&"pt{}"),if unknown _coinprec: (0,0) else:_coinprec fi) if print=false : withcolor blanc fi;
+ label.lrt(TEX("\longbarre\,\hbox to"&decimal(LongRep[numblocrep])&"pt{}"),if unknown _coinprec: (0,0) else:_coinprec fi) if print=false : withcolor blanc fi;
labeloffset:=3;
);
path cadre;
diff --git a/Master/texmf-dist/metapost/profcollege/PfCScratchpdf.mp b/Master/texmf-dist/metapost/profcollege/PfCScratchpdf.mp
index f3acd75d3db..f0ef36f1e02 100644
--- a/Master/texmf-dist/metapost/profcollege/PfCScratchpdf.mp
+++ b/Master/texmf-dist/metapost/profcollege/PfCScratchpdf.mp
@@ -1885,7 +1885,7 @@ vardef Sinon=
drawoptions();
texto=image(
labeloffset:=0;
- label.lrt(LATEXSCRATCH("\, \hbox to"&decimal(LongRep[numblocrep])&"pt{\bfseries\barre sinon}"),if unknown _coinprec: (0,0) else:_coinprec fi) if print=false : withcolor blanc fi;
+ label.lrt(LATEXSCRATCH("\, \hbox to"&decimal(LongRep[numblocrep])&"pt{\bfseries\longbarre sinon}"),if unknown _coinprec: (0,0) else:_coinprec fi) if print=false : withcolor blanc fi;
labeloffset:=3;
);
path cadre;
diff --git a/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty b/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
index 15a4cd6b732..e6f559aa713 100644
--- a/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
+++ b/Master/texmf-dist/tex/latex/profcollege/ProfCollege.sty
@@ -2,16 +2,27 @@
% licence : Released under the LaTeX Project Public License v1.3c
% or later, see http://www.latex-project.org/lppl.txtf
\NeedsTeXFormat{LaTeX2e}%
-\def\filedate{2023/01/23}%
+\def\filedate{2023/03/06}%
\let\PfCfiledate\filedate%
-\def\fileversion{0.99-z-e}%
+\def\fileversion{0.99-z-f}%
\let\PfCfileversion\fileversion%
\ProvidesPackage{ProfCollege}[\filedate\space v\fileversion\space Aide pour utiliser LaTeX au college]
\RequirePackage{verbatim}
\RequirePackage{mathtools}
+
+\newif\if@shellescape \@shellescapetrue
+\newif\if@amssymb \@amssymbtrue
+\DeclareOption{nonshellescape}{\@shellescapefalse}
+\DeclareOption{nonamssymb}{\@amssymbfalse}
+\ProcessOptions\relax
+
+%\ProcessOptions\relax
+
+\if@amssymb
\RequirePackage{amssymb}
+\fi
% mathématiques
\RequirePackage{siunitx}
@@ -44,10 +55,6 @@
\RequirePackage{modulus}%Pour certains calculs arithmétiques.
\RequirePackage{xinttools}%Pour la création dynamique d'un tableau
-\newif\if@shellescape \@shellescapetrue
-\DeclareOption{nonshellescape}{\@shellescapefalse}
-\ProcessOptions\relax
-
\RequirePackage{iftex}
\ifluatex
@@ -60,7 +67,8 @@
\RequirePackage[shellescape,latex]{gmp}%inclusion de figures metapost "à la volée"%
\gmpoptions{everymp={prologues:=3; input PfCLaTeX; input PfCSvgnames; input PfCConstantes; input PfCGeometrie; input PfCAfficheur;}}
\usempxclass{article}
-\usempxpackage[locale=FR,mode = match, propagate-math-font = true,reset-math-version = false, reset-text-family = false,reset-text-series = false, reset-text-shape = false,text-family-to-math = true, text-series-to-math = true, output-decimal-marker={,},group-minimum-digits=4]{siunitx}
+\usempxpackage{ProfCollege}
+%\usempxpackage[locale=FR,mode = match, propagate-math-font = true,reset-math-version = false, reset-text-family = false,reset-text-series = false, reset-text-shape = false,text-family-to-math = true, text-series-to-math = true, output-decimal-marker={,},group-minimum-digits=4]{siunitx}
\usempxpackage[utf8]{inputenc}
\usempxpackage[T1]{fontenc}
\usempxpackage{fourier}
@@ -70,7 +78,8 @@
\RequirePackage[latex]{gmp}%inclusion de figures metapost "à la volée"%
\gmpoptions{everymp={prologues:=3; input PfCLaTeX; input PfCSvgnames; input PfCConstantes; input PfCGeometrie; input PfCAfficheur;}}
\usempxclass{article}
-\usempxpackage[locale=FR,mode = match, propagate-math-font = true,reset-math-version = false, reset-text-family = false,reset-text-series = false, reset-text-shape = false,text-family-to-math = true, text-series-to-math = true, output-decimal-marker={,},group-minimum-digits=4]{siunitx}
+\usempxpackage{ProfCollege}
+%\usempxpackage[locale=FR,mode = match, propagate-math-font = true,reset-math-version = false, reset-text-family = false,reset-text-series = false, reset-text-shape = false,text-family-to-math = true, text-series-to-math = true, output-decimal-marker={,},group-minimum-digits=4]{siunitx}
\usempxpackage[utf8]{inputenc}
\usempxpackage[T1]{fontenc}
\usempxpackage{fourier}
@@ -93,6 +102,7 @@
% https://tex.stackexchange.com/questions/349259/curved-arrow-describing-a-step-in-a-equation-derivation
%https://tex.stackexchange.com/questions/58656/best-way-to-draw-a-chevron-diagram-using-tikz
\usetikzlibrary{calc,shapes,arrows,tikzmark,chains,positioning,shapes.symbols,babel,fit}
+\usetikzlibrary{backgrounds}
\RequirePackage{suffix}%pour la commande étoilée
@@ -348,6 +358,742 @@
}
%%%
+% Kakurasu
+%%%
+\setKVdefault[Kakurasu]{Solution=false,Longueur=6,Largeur=6,Echelle=8mm,Graines=false,Trace=false}
+\defKV[Kakurasu]{Graine=\setKV[Kakurasu]{Graines}}
+\defKV[Kakurasu]{Traces=\setKV[Kakurasu]{Trace}}
+
+\NewDocumentCommand\Kakurasu{o}{%
+ \useKVdefault[Kakurasu]%
+ \setKVdefault[Kakurasu]{#1}%
+ \BuildKakurasu%
+}
+
+\NewDocumentCommand\BuildKakurasu{}{%
+ \ifluatex
+ \mplibforcehmode
+ \begin{mplibcode}
+ boolean Graines,Solution,Trace;
+ Graines=\useKV[Kakurasu]{Graines};
+ Solution=\useKV[Kakurasu]{Solution};
+ Trace=\useKV[Kakurasu]{Trace};
+
+ if Graines:
+ randomseed:=\useKV[Kakurasu]{Graine};
+ fi;
+
+ numeric Longueur,Largeur;
+ Longueur=\useKV[Kakurasu]{Longueur};
+ Largeur=\useKV[Kakurasu]{Largeur};
+
+ u:=\useKV[Kakurasu]{Echelle};
+
+ pair A[][];%centre des carrés.
+ boolean Allume[][];
+ numeric NombreLigne[][],NombreColonne[][];
+
+ for k=-1 upto Largeur+1:
+ for l=-1 upto Longueur+1:
+ Allume[k][l]=false;
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur-1:
+ for l=0 upto Longueur-1:
+ A[k][l]=u*(l,-k);
+ trace (unitsquare scaled u) shifted A[k][l];
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur-1:
+ for l=0 upto Longueur-1:
+ if Allume[k][l]:
+ else:
+ Allume[k][l]:=true;
+ m:=uniformdeviate(1);
+ if m<0.5:
+ % on ne met pas de case noire
+ else:
+ % on met une case noire
+ NombreLigne[k][l]=l+1;
+ NombreColonne[k][l]=k+1;
+ if Solution:
+ fill (unitsquare scaled 0.9u) shifted (A[k][l]+0.05*u*(1,1));
+ fi;
+ fi;
+ fi;
+ endfor;
+ endfor;
+
+ % on compte le nombre de chiffres dans les lignes et on les ajoute
+ for k=0 upto Largeur-1:
+ Somme:=0;
+ for l=0 upto Longueur-1:
+ if unknown NombreLigne[k][l]:
+ else:
+ Somme:=Somme+NombreLigne[k][l];
+ fi;
+ endfor;
+ label(TEX(decimal(Somme)),u*(-0.5,-k+0.5));
+ endfor;
+
+ % on compte le nombre de chiffres dans les colonnes et on les ajoute
+ for k=0 upto Longueur-1:
+ Somme:=0;
+ for l=0 upto Largeur-1:
+ if unknown NombreColonne[l][k]:
+ else:
+ Somme:=Somme+NombreColonne[l][k];
+ fi;
+ endfor;
+ label(TEX(decimal(Somme)),u*(k+0.5,1.5));
+ endfor;
+
+ % On affiche les valeurs des cases noires.
+ drawoptions(withcolor 0.5white);
+ for k=0 upto Longueur-1:
+ label(TEX("\footnotesize"&decimal(k+1)),u*(k+0.5,-Largeur+0.5));
+ endfor;
+ for k=0 upto Largeur-1:
+ label(TEX("\footnotesize"&decimal(k+1)),u*(Longueur+0.5,-k+0.5));
+ endfor;
+ drawoptions();
+ if Trace:
+ \useKV[Kakurasu]{Traces};
+ fi;
+ \end{mplibcode}
+ \fi
+}%
+
+%%%
+% Midpoint
+%%%
+\setKVdefault[MidPoint]{Solution=false,Graines=false,Hard=false}
+\defKV[MidPoint]{Graine=\setKV[MidPoint]{Graines}}
+
+\NewDocumentCommand\MidPoint{o}{%
+ \useKVdefault[MidPoint]%
+ \setKV[MidPoint]{#1}%
+ \BuildMidPoint
+}
+
+\NewDocumentCommand\BuildMidPoint{}{%
+ \ifluatex
+ \mplibforcehmode
+ \begin{mplibcode}
+ numeric Longueur,Largeur;
+ Longueur=8;
+ Largeur=4;
+ boolean Horizontal,Vertical,RetiensSens;
+ Horizontal=false;
+ Vertical=false;
+
+ boolean Solution,Hard,Graines;
+ Solution:=\useKV[MidPoint]{Solution};
+ Hard:=\useKV[MidPoint]{Hard};
+ Graines:=\useKV[MidPoint]{Graines};
+ if Graines:
+ randomseed:=\useKV[MidPoint]{Graine}
+ fi;
+
+ u:=8mm;
+
+ pair A[][];%centre des carrés.
+
+ vardef CherchePoint(expr basek,basel)=
+ % Si le déplacement précédent est horizontal, il faut passer en vertical
+ % Si le déplacement précédent est vertical, il faut passer en horizontal
+ p:=p+1;
+ if basel=ColonneArrivee:
+ RP[p]:=Arrivee;
+ else:
+ if Vertical:
+ %deplacement horizontal
+ ecart:=ColonneArrivee-basel;
+ if ecart=1:
+ Basel:=ColonneArrivee;
+ RP[p]:=A[basek][ColonneArrivee];
+ else:
+ Basel:=ceiling(basel+uniformdeviate(ecart));
+ RP[p]:=A[basek][Basel];
+ fi;
+ Basek:=basek;
+ Horizontal:=true;
+ Vertical:=false;
+ else:
+ %on vérifie qu'on peut se déplacer dans les deux sens.
+ % on choisit vertical positif ou vertical négatif
+ if basek=1:
+ choix:=0.75;
+ elseif basek=Largeur:
+ choix:=0.25;
+ else:
+ choix:=uniformdeviate(1);
+ fi;
+ if choix<0.5:
+ ecart:=basek-1;
+ if ecart=1:
+ Basek:=1;
+ RP[p]:=A[1][basel];
+ else:
+ Basek:=ceiling(uniformdeviate(ecart));
+ RP[p]:=A[Basek][basel];
+ fi;
+ Basel:=basel;
+ else:
+ ecart:=Largeur-basek;
+ if ecart=1:
+ Basek:=Largeur;
+ RP[p]:=A[Largeur][basel];
+ else:
+ Basek:=basek+ceiling(uniformdeviate(ecart));
+ RP[p]:=A[Basek][basel];
+ fi;
+ Basel:=basel;
+ fi;
+ Horizontal:=false;
+ Vertical:=true;
+ fi;
+ fi;
+enddef;
+
+vardef MidPoint(expr Aa,Bb)=
+ save $;
+ picture $;
+ $=image(
+ if Solution:
+ trace Aa--Bb withpen pencircle scaled 1.5;
+ fi;
+ if Hard:
+ NbMid:=NbMid+1;
+ if NbMid mod 2=0:
+ remplis cercles(1/2[Aa,Bb],1mm);
+ fi;
+ else:
+ remplis cercles(1/2[Aa,Bb],1mm);
+ fi;
+ );
+ $
+enddef;
+
+ % tracé de la grille
+ for k=1 upto 2*Largeur:
+ for l=-3 upto Largeur+Longueur-4:
+ trace (unitsquare scaled u) shifted (u*(l,-k)-center (unitsquare scaled u)) withcolor 0.5*white;
+ endfor;
+ endfor;
+
+ for k=1 upto Largeur:
+ for l=1 upto Longueur:
+ A[k][l]=u*(l,-k);
+ %trace (unitsquare scaled u) shifted (A[k][l]-center (unitsquare scaled u)) withcolor 0.5*white;
+ endfor;
+ endfor;
+
+%On choisit le premier déplacement
+ choix:=uniformdeviate(1);
+ if choix<0.5:
+ Horizontal:=true;
+ else:
+ Vertical:=true;
+ fi;
+
+ p:=0;
+ NbMid=ceiling(uniformdeviate(2));%Pour le niveau Hard
+
+ %1er rectangle
+LigneDepart:=2;%2;
+ColonneDepart:=1;
+LigneArrivee:=4;%4;
+ColonneArrivee:=8;
+pair Depart,Arrivee;
+Depart=A[LigneDepart][ColonneDepart];
+Arrivee=A[LigneArrivee][ColonneArrivee];
+
+pair RP[];%RetiensPoints
+RP[0]=Depart;
+
+Basek:=LigneDepart;
+Basel:=ColonneDepart;
+forever:
+ CherchePoint(Basek,Basel);
+ exitif RP[p]=Arrivee;
+endfor;
+
+if ypart(RP[p])=ypart(RP[p-1]):
+ RetiensSens:=true;
+else:
+ RetiensSens:=false;
+ p:=p-1;
+fi;
+
+%2eme rectangle
+for k=1 upto Largeur:
+ for l=1 upto Longueur:
+ A[k][l]:=u*(Longueur+l,-k);
+ endfor;
+endfor;
+
+LigneDepart:=4;
+ColonneDepart:=1;
+LigneArrivee:=2;
+ColonneArrivee:=8;
+Depart:=A[LigneDepart][ColonneDepart];
+Arrivee:=A[LigneArrivee][ColonneArrivee];
+
+Basek:=LigneDepart;
+Basel:=ColonneDepart;
+Retiens:=p;
+RP[p+1]:=Depart;
+
+forever:
+ CherchePoint(Basek,Basel);
+ exitif RP[p]=Arrivee;
+endfor;
+
+if ypart(RP[p])=ypart(RP[p-1]):
+ RetiensSens:=true;
+ p:=p-1;
+else:
+ RetiensSens:=false;
+fi;
+
+for h=(Retiens+1) upto p:
+ RP[h]:=symetrie(RP[h],u*(Longueur+0.5,-Largeur-0.5));
+endfor;
+%3eme Rectangle
+for k=1 upto Largeur:
+ for l=1 upto Longueur:
+ A[k][l]:=u*(2*Longueur+l,-k);
+ endfor;
+endfor;
+
+LigneDepart:=4;
+ColonneDepart:=2;
+LigneArrivee:=1;
+ColonneArrivee:=4;
+Depart:=A[LigneDepart][ColonneDepart];
+Arrivee:=A[LigneArrivee][ColonneArrivee];
+
+
+Basek:=LigneDepart;
+Basel:=ColonneDepart;
+Retiens:=p;
+RP[p+1]:=Depart;
+forever:
+ CherchePoint(Basek,Basel);
+ exitif RP[p]=Arrivee;
+endfor;
+for h=(Retiens+1) upto p:
+ RP[h]:=rotation(RP[h],u*(2*Longueur+0.5,-Largeur-0.5),90) shifted(u*(-2*Longueur,-Largeur));
+endfor;
+%4eme rectangle. On termine la boucle ?
+for k=1 upto Largeur:
+ for l=1 upto Longueur:
+ A[k][l]:=u*(3*Longueur+l,-k);
+ endfor;
+endfor;
+
+LigneDepart:=4;
+ColonneDepart:=1;
+LigneArrivee:=2;
+ColonneArrivee:=4;
+Depart:=A[LigneDepart][ColonneDepart];
+Arrivee:=A[LigneArrivee][ColonneArrivee];
+
+Basek:=LigneDepart;
+Basel:=ColonneDepart;
+Retiens:=p;
+RP[p+1]:=Depart;
+forever:
+ CherchePoint(Basek,Basel);
+ exitif RP[p]=Arrivee;
+endfor;
+
+if ypart(RP[p])=ypart(RP[p-1]):
+ p:=p-1;
+fi;
+
+if ypart(RP[0])=ypart(RP[1]):
+ RetiensSens:=true;
+else:
+ RetiensSens:=false;
+fi;
+
+for h=(Retiens+1) upto p:
+ RP[h]:=RP[h] shifted(u*(-3.5*Longueur,0));
+endfor;
+
+if RetiensSens:
+ RP[p+1]:=RP[1];
+ go:=1;
+else:
+ RP[p+1]:=RP[0];
+ go:=0;
+fi;
+
+for h=go upto p:
+ draw MidPoint(RP[h],RP[h+1]);
+endfor;
+\end{mplibcode}
+\fi
+}
+
+%%%
+% Grades
+%%%
+\setKVdefault[Grades]{Solution=false,Longueur=9,Largeur=9,Echelle=8mm,Graines=false}
+\defKV[Grades]{Graine=\setKV[Grades]{Graines}}
+
+\NewDocumentCommand\Grades{o}{%
+ \useKVdefault[Grades]%
+ \setKVdefault[Grades]{#1}%
+ \BuildGrades%
+}
+
+\NewDocumentCommand\BuildGrades{}{%
+ \ifluatex
+ \mplibforcehmode
+ \begin{mplibcode}
+ boolean Graines,Solution;
+ Graines=\useKV[Grades]{Graines};
+ Solution=\useKV[Grades]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[Grades]{Graine};
+ fi;
+
+ numeric Longueur,Largeur;
+ Longueur=\useKV[Grades]{Longueur};
+ Largeur=\useKV[Grades]{Largeur};
+
+ u:=\useKV[Grades]{Echelle};
+
+ p:=0;
+ pair A[];%centre des carrés.
+ boolean Allume[][];
+ numeric Nombre[][];
+
+ for k=-1 upto Largeur+1:
+ for l=-1 upto Longueur+1:
+ Allume[k][l]=false;
+ endfor;
+ endfor;
+
+ for k=0 upto Longueur-1:
+ for l=0 upto Largeur-1:
+ p:=p+1;
+ A[p]=u*(k,-l);
+ trace (unitsquare scaled u) shifted A[p];
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur-1:
+ for l=0 upto Longueur-1:
+ if Allume[k][l]:
+ else:
+ Allume[k][l]:=true;
+ m:=uniformdeviate(1);
+ if m<0.5:
+ % on ne met pas de nombre
+ else:
+ % on met un nombre
+ Nombre[k][l]=floor(1+uniformdeviate(9));
+ Allume[k][l+1]:=true;
+ Allume[k+1][l-1]:=true;
+ Allume[k+1][l]:=true;
+ Allume[k+1][l+1]:=true;
+ if Solution:
+ label(TEX(decimal(Nombre[k][l])),u*(l+0.5,-k+0.5));
+ fi;
+ fi;
+ fi;
+ endfor;
+ endfor;
+
+ % on compte le nombre de chiffres dans les lignes et on les ajoute
+ for k=0 upto Largeur-1:
+ p:=0;
+ Somme:=0;
+ for l=0 upto Longueur-1:
+ if unknown Nombre[k][l]:
+ else:
+ p:=p+1;
+ Somme:=Somme+Nombre[k][l];
+ fi;
+ endfor;
+ label(TEX(decimal(p)),u*(-0.5,-k+0.5));
+ label(TEX(decimal(Somme)),u*(Longueur+0.5,-k+0.5));
+ endfor;
+
+ % on compte le nombre de chiffres dans les colonnes et on les ajoute
+ for k=0 upto Longueur-1:
+ p:=0;
+ Somme:=0;
+ for l=0 upto Largeur-1:
+ if unknown Nombre[l][k]:
+ else:
+ p:=p+1;
+ Somme:=Somme+Nombre[l][k];
+ fi;
+ endfor;
+ label(TEX(decimal(p)),u*(k+0.5,1.5));
+ label(TEX(decimal(Somme)),u*(k+0.5,-Largeur+0.5));
+ endfor;
+ \end{mplibcode}
+ \fi
+}%
+
+%%%
+% Squaro
+%%%
+\setKVdefault[Squaro]{Solution=false,Longueur=8,Largeur=8,Echelle=8mm,Nom=Jeu1,Graines=false}
+\defKV[Squaro]{Graine=\setKV[Squaro]{Graines}}%
+
+\NewDocumentCommand\SquarO{o}{%
+ \useKVdefault[Squaro]%
+ \setKVdefault[Squaro]{#1}%
+ \ifboolKV[Squaro]{Solution}{\BuildSquaroSolution}{\BuildSquaro}%
+}
+
+\NewDocumentCommand\BuildSquaro{}{%
+ \ifluatex
+ \mplibforcehmode
+ \xdef\PfCSquaroNom{\useKV[Squaro]{Nom}}%
+ \begin{mplibcode}[\PfCSquaroNom]
+ numeric Longueur,Largeur;
+ Longueur=\useKV[Squaro]{Longueur};
+ Largeur=\useKV[Squaro]{Largeur};
+ boolean Solution,Graines;
+ Solution=\useKV[Squaro]{Solution};
+ Graines:=\useKV[Squaro]{Graines};
+ if Graines:
+ randomseed:=\useKV[Squaro]{Graine};
+ fi;
+
+ u:=\useKV[Squaro]{Echelle};
+
+ p:=0;
+ pair A[];%centre des carrés.
+ boolean Allume[][];
+
+ for k=0 upto Longueur-1:
+ for l=0 upto Largeur-1:
+ p:=p+1;
+ A[p]=u*(k,-l);
+ trace (unitsquare scaled u) shifted A[p];
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur:
+ for l=0 upto Longueur:
+ m:=uniformdeviate(1);
+ if m<0.5:
+ Allume[k][l]=true;
+ fill cercles(u*(l,-k+1),1mm) if Solution=false:withcolor white fi;
+ else:
+ Allume[k][l]=false;
+ fill cercles(u*(l,-k+1),1mm) withcolor white;
+ fi;
+ trace cercles(u*(l,-k+1),1mm);
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur-1:
+ for l=0 upto Longueur-1:
+ Retiens:=0;
+ if Allume[k][l]:Retiens:=Retiens+1 fi;
+ if Allume[k][l+1]:Retiens:=Retiens+1 fi;
+ if Allume[k+1][l]:Retiens:=Retiens+1 fi;
+ if Allume[k+1][l+1]:Retiens:=Retiens+1 fi;
+ label(TEX(decimal(Retiens)),u*(l+0.5,-k+0.5));
+ endfor;
+ endfor;
+ \end{mplibcode}
+ \fi
+}
+
+\NewDocumentCommand\BuildSquaroSolution{}{%
+ \ifluatex
+ \mplibforcehmode
+ \xdef\PfCSquaroNom{\useKV[Squaro]{Nom}}%
+ \begin{mplibcode}[\PfCSquaroNom]
+ u:=\useKV[Squaro]{Echelle};
+ p:=0;
+ for k=0 upto Longueur-1:
+ for l=0 upto Largeur-1:
+ p:=p+1;
+ trace (unitsquare scaled u) shifted A[p];
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur:
+ for l=0 upto Longueur:
+ if Allume[k][l]=true:
+ fill cercles(u*(l,-k+1),1mm);
+ else:
+ fill cercles(u*(l,-k+1),1mm) withcolor white;
+ fi;
+ trace cercles(u*(l,-k+1),1mm);
+ endfor;
+ endfor;
+
+ for k=0 upto Largeur-1:
+ for l=0 upto Longueur-1:
+ Retiens:=0;
+ if Allume[k][l]:Retiens:=Retiens+1 fi;
+ if Allume[k][l+1]:Retiens:=Retiens+1 fi;
+ if Allume[k+1][l]:Retiens:=Retiens+1 fi;
+ if Allume[k+1][l+1]:Retiens:=Retiens+1 fi;
+ label(TEX(decimal(Retiens)),u*(l+0.5,-k+0.5));
+ endfor;
+ endfor;
+ \end{mplibcode}
+ \fi
+}
+
+%%%
+% Garam
+%%%
+\setKVdefault[Garam]{Taille=7,Largeur=15pt,Solution=false,CouleurSolution=Black}
+\newlength\PfCGaramHeight
+
+\NewDocumentCommand\Garam{o m}{%
+ \useKVdefault[Garam]
+ \setKV[Garam]{#1}%
+ \setlength{\PfCGaramHeight}{\useKV[Garam]{Largeur}+\tabcolsep}%
+ \reademptyitems%
+ \setsepchar[*]{§*,*/}%
+ \readlist*\PfCListeGaram{#2}%
+ \colorlet{PfCGaramCoulSol}{\useKV[Garam]{CouleurSolution}}%
+ \begin{NiceTabular}{*{\useKV[Garam]{Taille}}{m{\useKV[Garam]{Largeur}}}}
+ \CodeBefore
+ \xintFor* ##1 in{\xintSeq{2}{\fpeval{\useKV[Garam]{Taille}}}}\do{%
+ \tikz{\draw[dashed,LightGray] (1-|##1)--(last-|##1);}%
+ }%
+ \xintFor* ##1 in{\xintSeq{2}{\fpeval{\PfCListeGaramlen-1}}}\do{%
+ \tikz{\draw[dashed,LightGray] (##1-|1)--(##1-|last);}%
+ }%
+ \tikz{\draw (1-|1) rectangle (last-|last);}%
+ \Body
+ \xintFor* ##1 in{\xintSeq{1}{\PfCListeGaramlen}}\do{%
+ \rule{0pt}{\PfCGaramHeight}\xintFor* ##2 in {\xintSeq{1}{\useKV[Garam]{Taille}}}\do{%
+ \xintifForFirst{}{&}\StrChar{\PfCListeGaram[##1,##2,1]}{1}[\PfCCaracGaram]%
+ \IfStrEq{\PfCCaracGaram}{*}{\Block[draw,fill=black]{1-1}{}}{%
+ \IfStrEq{\PfCCaracGaram}{!}{\Block{}{\ifboolKV[Garam]{Solution}{\StrGobbleLeft{\PfCListeGaram[##1,##2,1]}{1}}{}}}{\Block{}{\color{PfCGaramCoulSol}\PfCListeGaram[##1,##2,1]}}%
+ }%
+ }\\
+ }%
+ \CodeAfter
+ % On place les symboles
+ \xintFor* ##1 in{\xintSeq{1}{\PfCListeGaramlen}}\do{%
+ \xintFor* ##2 in {\xintSeq{1}{\useKV[Garam]{Taille}}}\do{%
+ \StrChar{\PfCListeGaram[##1,##2,1]}{1}[\PfCCaracGaram]%
+ \IfStrEq{\PfCCaracGaram}{*}{}{%
+ \tikz{%
+ \StrSubstitute{\PfCListeGaram[##1,##2,2]}{x}{\times}[\PfCGaramUn]%
+ \StrSubstitute{\PfCGaramUn}{:}{\div}[\PfCGaramUn]%
+ \StrSubstitute{\PfCListeGaram[##1,##2,3]}{x}{\times}[\PfCGaramDeux]%
+ \StrSubstitute{\PfCGaramDeux}{:}{\div}[\PfCGaramDeux]%
+ \xintifForLast{}{\node at (\fpeval{##1+0.5}-|\fpeval{##2+1}) {$\PfCGaramUn$};}
+ \node at (\fpeval{##1+1}-|\fpeval{##2+0.5}) {$\PfCGaramDeux$};
+ }%
+ }%
+ }%
+ }%
+ \end{NiceTabular}
+}%
+
+%%%
+% Futoshiki
+%%%
+\setKVdefault[Futo]{Largeur=15pt,Solution=false,CouleurSolution=Black,CouleurCase=Cornsilk,StyleTexte={}}
+
+\newlength\PfCFutoHeight
+
+\NewDocumentCommand\Futoshiki{o m}{%
+ \useKVdefault[Futo]
+ \setKV[Futo]{#1}%
+ \setlength{\PfCFutoHeight}{\useKV[Futo]{Largeur}+\tabcolsep}%
+ \setsepchar{\\/,}%
+ \readlist\ListeFuto{#2}%
+ \xdef\PfCTailleFuto{\ListeFutolen}%
+ \def\PfCFutoStyleTexte{\useKV[Futo]{StyleTexte}}%
+ \colorlet{PfCFutoCase}{\useKV[Futo]{CouleurCase}}%
+ \begin{NiceTabular}{*{\fpeval{\PfCTailleFuto-1}}{m{\useKV[Futo]{Largeur}}m{5pt}}m{\useKV[Futo]{Largeur}}}%[hvlines]
+ \xintFor* ##1 in{\xintSeq{1}{\PfCTailleFuto}}\do{%
+ \xintFor* ##2 in{\xintSeq{1}{\PfCTailleFuto}}\do{%
+ \rule{0pt}{\PfCFutoHeight}%
+ \StrChar{\ListeFuto[##1,\fpeval{2*##2-1}]}{1}[\PfCCaracFuto]%
+ \IfStrEq{\PfCCaracFuto}{*}{%
+ \StrGobbleLeft{\ListeFuto[##1,\fpeval{2*##2-1}]}{1}[\PfCResteFuto]%
+ \Block[draw]{}{\PfCFutoStyleTexte\PfCResteFuto}%
+ }{%
+ \IfStrEq{\PfCCaracFuto}{!}{%
+ \StrGobbleLeft{\ListeFuto[##1,\fpeval{2*##2-1}]}{1}[\PfCResteFuto]%
+ \Block[draw,fill=PfCFutoCase]{}{\PfCFutoStyleTexte\PfCResteFuto}%
+ }{%
+ \ifboolKV[Futo]{Solution}{\Block[draw]{}{\PfCFutoStyleTexte\color{\useKV[Futo]{CouleurSolution}}\ListeFuto[##1,\fpeval{2*##2-1}]}}{\Block[draw]{}{}}%
+ }%
+ }%
+ \xintifForLast{}{&&}%
+ }\\
+ \rule{0pt}{\fpeval{5pt+\tabcolsep}pt}\Block[]{}{}\\
+ }%
+ \CodeAfter%Pour écrire les symboles
+ \xintFor* ##1 in{\xintSeq{1}{\PfCTailleFuto}}\do{%
+ \xintFor* ##2 in{\xintSeq{1}{\PfCTailleFuto}}\do{%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{>}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{<}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2})--(\fpeval{2*##1}-|\fpeval{2*##2+0.5});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{v}{%
+ \tikz{%
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1.5}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{A}{%
+ \tikz{%
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{>A}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1}-|\fpeval{2*##2});
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{>v}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1}-|\fpeval{2*##2});
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1.5}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{<A}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2})--(\fpeval{2*##1}-|\fpeval{2*##2+0.5});
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1}-|\fpeval{2*##2});
+ }%
+ }{}%
+ \IfStrEq{\ListeFuto[##1,2*##2]}{<v}{%
+ \tikz{%
+ \draw[transform canvas={xshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1}-|\fpeval{2*##2+0.5})--(\fpeval{2*##1-0.5}-|\fpeval{2*##2})--(\fpeval{2*##1}-|\fpeval{2*##2+0.5});
+ \draw[transform canvas={yshift=\fpeval{2pt+0.5\tabcolsep}pt}] (\fpeval{2*##1-1.5}-|\fpeval{2*##2-1})--(\fpeval{2*##1-1}-|\fpeval{2*##2-0.5})--(\fpeval{2*##1-1.5}-|\fpeval{2*##2});
+ }%
+ }{}%
+ }%
+ }%
+ \end{NiceTabular}
+}%
+
+%%%
% Ronde infernale
%%%
\newcommand\TestNombrePremier[1]{%
@@ -742,11 +1488,11 @@
fi;
else:
if p_="*":
- label.top(TEX("$\times"&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
+ label.top(LATEX("$\times"&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
elseif p_="/":
- label.top(TEX("$\div"&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
+ label.top(LATEX("$\div"&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
else:
- label.top(TEX("$"&p_&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
+ label.top(LATEX("$"&p_&Nombre[n]&"$"),1/2[A[n-1],A[n]]);
fi;
fi;
endfor;
@@ -783,7 +1529,7 @@
O=(0,0);
A[0]=O;
for k=1 upto nbcase:
- A[k]-A[k-1]=(Rayon,0);
+ A[k]-A[k-1]=(Rayon+2cm,0);
endfor;
for k=0 upto nbcase-2:
drawarrow (A[k]--A[k+1]) cutbefore (BoiteRectangle shifted A[k]) cutafter (BoiteRectangle shifted A[k+1]) withpen pencircle scaled 1.5;
@@ -805,12 +1551,12 @@
fi;
if Vide=false:
if Perso:
- label(TEX("$"&Depart&"$"),A[0]);
+ label(LATEX("$"&Depart&"$"),A[0]);
else:
- label(TEX("$"&decimal(Depart)&"$"),A[0]);
+ label(LATEX("$"&decimal(Depart)&"$"),A[0]);
fi;
fi;
- \end{mplibcode}
+ \end{mpost}
\fi
}%
@@ -1477,13 +2223,23 @@
%%%
% Enigme Aire
%%%
-\setKVdefault[EnigmeAire]{Modele=A,Couleur=LightSteelBlue,Echelle=7mm,Etape=1}
+\setKVdefault[EnigmeAire]{Modele=A,Couleur=LightSteelBlue,Echelle=7mm,Etape=1,Solution=false,Graines=false}
+\defKV[EnigmeAire]{Graine=\setKV[EnigmeAire]{Graines}}
\def\MPEnigmeAireA{%
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
+
pair A[],B[];
numeric la[];
la1=ceiling(3+uniformdeviate(7));
@@ -1502,7 +2258,12 @@
trace polygone(B1,B2,B3,B4);
trace polygone(A1,A2,A3,A4);
label(TEX("\Aire[m]{"&decimal(la1*la4)&"}"),iso(A1,B4));
+ if Solution:
+ label(TEX(decimal(la2*la4)&"\,\si{\square\meter}"),iso(B1,B3));
+ else:
label(TEX("?\,\si{\square\meter}"),iso(B1,B3));
+ fi;
+
label(TEX("\Aire[m]{"&decimal(la3*la4)&"}"),iso(B2,A3));
trace cotation(A4,B3,3mm,3mm,TEX("\Lg[m]{"&decimal(la1+la2)&"}"));
trace cotation(B1,A2,-3mm,-3mm,TEX("\Lg[m]{"&decimal(la3+la2)&"}"));
@@ -1514,6 +2275,14 @@
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
pair A[],B[];
numeric La[],la[],Ca[];
@@ -1538,7 +2307,12 @@
trace polygone(A1,A2,A3,A4,A5,A6);
trace chemin(A7,A4);
label(TEX("\Aire[m]{"&decimal(la1*La1)&"}"),iso(A1,A3));
+ if Solution:
+ label(TEX(decimal(Ca1*Ca2)&"\,\si{\square\meter}"),iso(B1,B3));
+ else:
label(TEX("?\,\si{\square\meter}"),iso(B1,B3));
+ fi;
+
label(TEX("\Aire[m]{"&decimal(la2*La2)&"}"),iso(A7,A5));
trace appelation(A6,A5,3mm,TEX("\Lg[m]{"&decimal(La2)&"}"));
trace appelation(B1,A3,3mm,TEX("\Lg[m]{"&decimal(La1-La2-Ca1)&"}"));
@@ -1552,6 +2326,14 @@
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
pair A[];
numeric la[],La[];
@@ -1588,7 +2370,11 @@
trace cotation(A1,A4,-3mm,-3mm,TEX("\Lg[cm]{"&decimal(La1+La2+La3)&"}"));
label.lft(TEX("\Lg{"&decimal(la1)&"}"),iso(A1,A10));
label.lft(TEX("\Lg{"&decimal(la2)&"}"),iso(A9,A8));
+ if Solution:
+ label.lft(TEX(decimal(la3)&"\,\si{\centi\meter}"),iso(A7,A6));
+ else:
label.lft(TEX("?\,\si{\centi\meter}"),iso(A7,A6));
+ fi;
\end{mplibcode}
\fi
}
@@ -1597,6 +2383,14 @@
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
Etape:=\useKV[EnigmeAire]{Etape};
pair A[];
@@ -1613,7 +2407,11 @@
A[6*(k-1)+6]-A[6*(k-1)+5]=A[6*(k-1)+2]-A[6*(k-1)+1];
trace polygone(A[6*(k-1)+1],A[6*(k-1)+2],A[6*(k-1)+3],A[6*(k-1)+4]);
trace segment(A[6*(k-1)+5],A[6*(k-1)+6]);
+ if Solution:
+ trace cotation(A[6*(k-1)+5],A[6*(k-1)+1],-3mm,-3mm,TEX("\Lg{"&decimal(la[k])&"}"));
+ else:
trace cotation(A[6*(k-1)+5],A[6*(k-1)+1],-3mm,-3mm,TEX("?\,\si{\centi\meter}"));
+ fi;
label(TEX("\Aire{"&decimal(la[k]*La[k])&"}"),iso(A[6*(k-1)+5],A[6*(k-1)+2]));
label(TEX("\Aire{"&decimal(la[k+1]*La[k])&"}"),iso(A[6*(k-1)+4],A[6*(k-1)+6]));
if Etape<2:
@@ -1644,6 +2442,14 @@
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
pair A[];
numeric la[],La[];
@@ -1673,7 +2479,11 @@
trace cotationarc(A5,A4,5mm,4,1,TEX("\Lg[cm]{"&decimal(La3)&"}") rotated 90);
trace cotationarc(A9,A8,3mm,4,1,TEX("\Lg[cm]{"&decimal(la3-la1)&"}") rotated 180);
trace cotationarc(A4,A3,3mm,4,1,TEX("\Lg[cm]{"&decimal(la3-la2)&"}"));
+ if Solution:
+ trace cotationarc(A3,A1,5mm,3,1,TEX("\Lg{"&decimal(La1+La2)&"}") rotated 90);
+ else:
trace cotationarc(A3,A1,5mm,3,1,TEX("?") rotated 90);
+ fi;
\end{mplibcode}
\fi
}
@@ -1682,6 +2492,14 @@
\ifluatex
\mplibforcehmode
\begin{mplibcode}
+ boolean Graines,Solution;
+ Graines:=\useKV[EnigmeAire]{Graines};
+ Solution:=\useKV[EnigmeAire]{Solution};
+
+ if Graines:
+ randomseed:=\useKV[EnigmeAire]{Graine};
+ fi;
+
u:=\useKV[EnigmeAire]{Echelle};
pair A[];
numeric la[],La[];
@@ -1710,7 +2528,11 @@
trace polygone(A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13);
trace segment(A7,A13);
trace segment(A10,A4);
+ if Solution:
+ label(TEX("\Aire{"&decimal(la2*La2)&"}"),iso(A1,A6));
+ else:
label(TEX("?\,\si{\square\centi\meter}"),iso(A1,A6));
+ fi;
label(TEX("\Aire[cm]{"&decimal(la1*La1)&"}"),iso(A2,A4));
label(TEX("\Aire[cm]{"&decimal(la3*La3)&"}"),iso(A10,A8));
label(TEX("\Aire[cm]{"&decimal(la4*La4)&"}"),iso(A12,A1));
@@ -7989,11 +8811,13 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
%%%
% D\'ecomposition de fractions d\'ecimales
%%%
-\setKVdefault[ClesFracDeci]{Complete=false,SansZero=false,Remediation=false}
+\setKVdefault[ClesFracDeci]{Complete=false,SansZero=false,Remediation=false,Longueur=1cm}
+\newlength{\PfCLongueurP}%
\newcommand\FractionDecimale[2][]{%
\useKVdefault[ClesFracDeci]%
\setKV[ClesFracDeci]{#1}%
+ \setlength{\PfCLongueurP}{\useKV[ClesFracDeci]{Longueur}}%
\setsepchar[*]{/}%
\readlist*\ListeFractionDecimale{#2}%
\xdef\FractionDeciNum{\ListeFractionDecimale[1]}%
@@ -8005,14 +8829,14 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
\StrLen{\fpeval{\FractionDeciNum}}[\LongueurFracDeciNum]%
\xintifboolexpr{\PartieEntiereFractionDeci == 0}{\xdef\LongueurPartieEntiere{0}}{\StrLen{\PartieEntiereFractionDeci}[\LongueurPartieEntiere]}%
\xintifboolexpr{\PartieEntiereFractionDeci == \fpeval{\FractionDeciNum/\FractionDeciDeno}}{%
- \ensuremath{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\PartieEntiereFractionDeci}}}%
+ \ensuremath{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\PartieEntiereFractionDeci}}}%
}{%
\ifboolKV[ClesFracDeci]{SansZero}{%
\ensuremath{%
- \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\PartieEntiereFractionDeci}}+}%
+ \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\PartieEntiereFractionDeci}}+}%
\xintFor* ##1 in {\xintSeq{1}{\LongueurPartieDecimale}}\do{%
\StrMid{\PartieDecimaleFractionDeci}{##1}{##1}[\ChiffrePartieDecimale]%
- \xintifForFirst{}{\xintifboolexpr{\ChiffrePartieDecimale == 0}{}{+}}\xintifboolexpr{\ChiffrePartieDecimale == 0}{}{\frac{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**(\LongueurFracDeciDeno-1-\LongueurPartieDecimale+##1)}}}}%
+ \xintifForFirst{}{\xintifboolexpr{\ChiffrePartieDecimale == 0}{}{+}}\xintifboolexpr{\ChiffrePartieDecimale == 0}{}{\frac{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**(\LongueurFracDeciDeno-1-\LongueurPartieDecimale+##1)}}}}%
}%
}%
}{%
@@ -8020,24 +8844,24 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
\xintifboolexpr{\FractionDeciNum>\FractionDeciDeno}{%
\ensuremath{%
% on affiche la partie entière.
- \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\PartieEntiereFractionDeci}}+}%
+ \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\PartieEntiereFractionDeci}}+}%
\StrGobbleLeft{\FractionDeciNum}{\fpeval{\LongueurPartieEntiere}}[\DecompositionFracDeciComplete]%
% on affiche la partie décimale.
\xintFor* ##1 in {\xintSeq{1}{\fpeval{\LongueurFracDeciNum-\LongueurPartieEntiere}}}\do{%
- \xintifForFirst{}{+}\StrMid{\DecompositionFracDeciComplete}{##1}{##1}[\ChiffrePartieDecimale]\frac{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**##1}}}%
+ \xintifForFirst{}{+}\StrMid{\DecompositionFracDeciComplete}{##1}{##1}[\ChiffrePartieDecimale]\frac{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**##1}}}%
}%
}%
}{%
\ensuremath{%
\xintFor* ##1 in {\xintSeq{1}{\LongueurPartieDecimale}}\do{%
\StrMid{\PartieDecimaleFractionDeci}{##1}{##1}[\ChiffrePartieDecimale]%
- \xintifForFirst{}{+}\frac{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**(\LongueurFracDeciDeno-1-\LongueurPartieDecimale+##1)}}}%
+ \xintifForFirst{}{+}\frac{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\ChiffrePartieDecimale}}}{\num{\fpeval{10**(\LongueurFracDeciDeno-1-\LongueurPartieDecimale+##1)}}}%
}%
}%
}%
}{%
\ensuremath{%
- \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\PartieEntiereFractionDeci}}+}\frac{\ifboolKV[ClesFracDeci]{Remediation}{\dots}{\num{\PartieDecimaleFractionDeci}}}{\num{\FractionDeciDeno}}%
+ \xintifboolexpr{\PartieEntiereFractionDeci == 0}{}{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\PartieEntiereFractionDeci}}+}\frac{\ifboolKV[ClesFracDeci]{Remediation}{\pointilles[\PfCLongueurP]}{\num{\PartieDecimaleFractionDeci}}}{\num{\FractionDeciDeno}}%
}%
}%
}%
@@ -8777,6 +9601,8 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
\tikzset{FIndirect/.style={stealth-}}
\tikzset{FBidirect/.style={stealth-stealth}}
+\newlength{\LabyLongCM}
+
\newcommand\Labyrinthe[3][]{%
\useKVdefault[Labyrinthe]%
\setKV[Labyrinthe]{#1}%
@@ -8787,6 +9613,7 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
\readlist*\ListeLabySol{#3}%
}{}%
\xdef\LabyLong{\useKV[Labyrinthe]{Longueur}}%
+% \setlength{\LabyLongCM}{\fpeval{\LabyLong*28.3465}pt}%
\xdef\LabyHaut{\useKV[Labyrinthe]{Hauteur}}%
\ifboolKV[Labyrinthe]{SensImpose}{%
\xdef\TotalLaby{\fpeval{4*(\useKV[Labyrinthe]{Colonnes}-1)+1}}%
@@ -8802,7 +9629,11 @@ transform canvas={xshift=0em,yshift=0em}},rectangle,rounded corners,ultra thick,
\foreach \compteurh in {1,...,\useKV[Labyrinthe]{Colonnes}}{%
\xdef\ColorFill{\ListeLaby[\fpeval{\useKV[Labyrinthe]{Colonnes}*(\compteurv-1)+\compteurh},2]}%
\node[fill=\ColorFill,draw,minimum height=\LabyHaut*1cm,minimum width=\LabyLong*1cm,name=A-\compteurh-\compteurv] at
- (\fpeval{\LabyLong+\useKV[Labyrinthe]{EcartH}}*\compteurh,-\fpeval{\LabyHaut+\useKV[Labyrinthe]{EcartV}}*\compteurv) {\ListeLaby[\fpeval{\useKV[Labyrinthe]{Colonnes}*(\compteurv-1)+\compteurh},1]};%
+ (\fpeval{\LabyLong+\useKV[Labyrinthe]{EcartH}}*\compteurh,-\fpeval{\LabyHaut+\useKV[Labyrinthe]{EcartV}}*\compteurv) {%
+% \begin{minipage}{\LabyLongCM}
+ \ListeLaby[\fpeval{\useKV[Labyrinthe]{Colonnes}*(\compteurv-1)+\compteurh},1]%
+% \end{minipage}
+ };%
}%
}%
% fin des cadres
@@ -13791,14 +14622,15 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
% y a dans un "seul calcul".
\setcounter{NbCalculDistri}{0}
-\setKVdefault[ClesDistributivite]{Cours=false,Etape=1,Lettre=x,Fleches=false,AideMul=false,Reduction=false,AideAdda=false,AideAddb=false,CouleurAide=red,CouleurReduction=black,CouleurFH=blue,CouleurFB=red,Somme=false,Difference=false,RAZ=false,Oppose=false,All=false,NomExpression=A,Fin=4,Numerique=false,Remarquable=false,Echange=0,Tuile=false,Vide=false,Impression=false,Tableau=false}%,AideAdd=false:inutile ?
+\setKVdefault[ClesDistributivite]{Cours=false,Etape=1,Lettre=x,Fleches=false,AideMul=false,Reduction=false,AideAdda=false,AideAddb=false,CouleurAide=red,CouleurReduction=black,CouleurFH=blue,CouleurFB=red,Somme=false,Difference=false,RAZ=false,Oppose=false,All=false,NomExpression=A,Fin=4,Numerique=false,Remarquable=false,Echange=0,Tuile=false,Vide=false,Reperes=false,Impression=false,Tableau=false}%,AideAdd=false:inutile ?
\newcommand\Tuile[4]{%
\ifluatex
\mplibforcehmode
\begin{mplibcode}
- boolean Vide,Print;
+ boolean Vide,Reperes,Print;
Vide=\useKV[ClesDistributivite]{Vide};
+ Reperes=\useKV[ClesDistributivite]{Reperes};
Print=\useKV[ClesDistributivite]{Impression};
pair _CoinTuilev;
_CoinTuilev=(0,0);
@@ -13891,7 +14723,52 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
labeloffset:=labeloffset*2;
label.ulft(TEX("$\times$"),iso(u*(largeur/2,ecart/2),u*(largeur+ecart/2,largeur/2+ecart)));
labeloffset:=labeloffset/2;
- if Vide=false:
+ if Vide:
+ if Reperes:
+ %%%%
+ %% tuile a*c
+ if #1*#3<>0:
+ for k=0 upto (abs(#3)-1):
+ for l=0 upto (abs(#1)-1):
+ path titi;
+ titi=polygone((0,0),u*(longueur,0),u*(longueur,-longueur),u*(0,-longueur)) shifted (u*(largeur+ecart,0)+(u*(k*longueur,-l*longueur)));
+ trace titi withcolor 0.6white;
+ endfor;
+ endfor;
+ fi;
+ %tuile a*d
+ if #1*#4<>0:
+ for k=0 upto (abs(#4)-1):
+ for l=0 upto (abs(#1)-1):
+ path titi;
+ titi=polygone((0,0),u*(largeur,0),u*(largeur,-longueur),u*(0,-longueur)) shifted (u*(largeur+ecart+abs(#3)*longueur,0)+(u*(k*largeur,-l*longueur)));
+ trace titi withcolor 0.6white;
+ endfor;
+ endfor;
+ fi;
+ %tuile b*c
+ if #2*#3<>0:
+ for k=0 upto (abs(#3)-1):
+ for l=0 upto (abs(#2)-1):
+ path titi;
+ titi=polygone((0,0),u*(longueur,0),u*(longueur,-largeur),u*(0,-largeur)) shifted (u*(largeur+ecart,-abs(#1)*longueur)+(u*(k*longueur,-l*largeur)));
+ trace titi withcolor 0.6white;
+ endfor;
+ endfor;
+ fi;
+ %tuile b*d
+ if #2*#4<>0:
+ for k=0 upto (abs(#4)-1):
+ for l=0 upto (abs(#2)-1):
+ path titi;
+ titi=polygone((0,0),u*(largeur,0),u*(largeur,-largeur),u*(0,-largeur)) shifted (u*(largeur+ecart+abs(#3)*longueur,-abs(#1)*longueur)+(u*(k*largeur,-l*largeur)));
+ trace titi withcolor 0.6white;
+ endfor;
+ endfor;
+ fi;
+ fi;
+ %%%
+ else:
%% tuile a*c
if #1*#3<>0:
for k=0 upto (abs(#3)-1):
@@ -14233,6 +15110,17 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
\DistriEchange[#1]{#2}{#3}{#4}{#5}%
}{%
\ifboolKV[ClesDistributivite]{Remarquable}{%
+ \ifboolKV[ClesDistributivite]{Numerique}{%
+ \ifx\bla#4\bla%
+ \xintifboolexpr{#3>0}{%
+ \num{\fpeval{#2+#3}}^2=(\num{#2}+\num{#3})^2=\num{#2}^2+2\times\num{#2}\times\num{#3}+\num{#3}^2=\num{\fpeval{#2*#2}}+\num{\fpeval{2*#2*#3}}+\num{\fpeval{#3*#3}}=\num{\fpeval{(#2+#3)**2}}
+ }{%
+ \num{\fpeval{#2+#3}}^2=(\num{#2}\num{#3})^2=\num{#2}^2-2\times\num{#2}\times\num{\fpeval{-#3}}+\num{\fpeval{-#3}}^2=\num{\fpeval{#2*#2}}-\num{\fpeval{2*#2*abs(#3)}}+\num{\fpeval{#3*#3}}=\num{\fpeval{(#2-abs(#3))**2}}
+ }
+ \else
+ \num{\fpeval{#2+#3}}\times\num{\fpeval{#4+#5}}=(\num{#2}+\num{#3})\times(\num{#4}\num{#5})=\num{#2}^2-\num{#3}^2=\num{\fpeval{#2*#2}}-\num{\fpeval{#3*#3}}=\num{\fpeval{(#2+#3)*(#2-#3)}}
+ \fi%
+ }{%
\xintifboolexpr{\useKV[ClesDistributivite]{Etape}==1}{%
\ifx\bla#4\bla(\Affichage{0}{#2}{#3})^2\else(\Affichage{0}{#2}{#3})(\Affichage{0}{#4}{#5})\fi%
}{}
@@ -14282,6 +15170,8 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
\ifboolKV[ClesDistributivite]{Difference}{\xdef\SommeA{\fpeval{\SommeA-#2*#4}}\xdef\SommeB{\fpeval{\SommeB-#2*#5-#3*#4}}\xdef\SommeC{\fpeval{\SommeC-#3*#5}}}{}%
\fi%
}{}%
+ % fin Remarquable
+ }%
}{%
\ifboolKV[ClesDistributivite]{Numerique}{%
\xintifboolexpr{\useKV[ClesDistributivite]{Etape}==0}{%
@@ -14449,8 +15339,25 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
\xintifboolexpr{#2==0}{\xintifboolexpr{#3==-1}{-}{\num{#3}}}{\xintifboolexpr{#3==-1}{-}{-\num{\fpeval{abs(#3)}}}}
}\LETTRE}%
% partie du x^2
- \xintifboolexpr{#4==0}{}{\xintifboolexpr{#4>0}{\xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{}{+}}{+}\xintifboolexpr{#4==1}{}{\num{#4}}}{%
- \xintifboolexpr{#2==0}{\xintifboolexpr{#3==0}{\num{#4}}{-\num{\fpeval{abs(#4)}}}}{-\num{\fpeval{abs(#4)}}}}\LETTRE^2}%
+ \xintifboolexpr{#4==0}{}{%
+ \xintifboolexpr{#4>0}{%
+ \xintifboolexpr{#2==0}{%
+ \xintifboolexpr{#3==0}{%
+ }{+}%
+ }{+}%
+ \xintifboolexpr{#4==1}{}{\num{#4}%
+ }%
+ }{%
+ \xintifboolexpr{#2==0}{%
+ \xintifboolexpr{#3==0}{%
+ \num{#4}%
+ }{-\num{\fpeval{abs(#4)%
+ }%
+ }%
+ }%
+ }{%
+ \xintifboolexpr{#4==-1}{-}{-\num{\fpeval{abs(#4)}}}}}%
+ \LETTRE^2}%
}%
}%
@@ -17004,10 +17911,10 @@ couleur indiquée, le nombre de cases donné par le résultat du calcul.
\end{multicols}
}{\ifboolKV[ClesThales]{Figurecroisee}{%
% \StrMid{#2}{1}{1}[\NomA]\StrMid{#2}{2}{2}[\NomB]\StrMid{#2}{3}{3}[\NomC]\StrMid{#2}{4}{4}[\NomM]\StrMid{#2}{5}{5}[\NomN]
- \fbox{\begin{minipage}{0.4\linewidth}%
+ \begin{minipage}{0.4\linewidth}%
{\em La figure est donn\'ee \`a titre indicatif.}%
\[\MPFigReciThalesCroisee{\NomA}{\NomB}{\NomC}{\NomM}{\NomN}{\useKV[ClesThales]{Angle}}\]%
- \end{minipage}}
+ \end{minipage}
\hfill
\begin{minipage}{0.55\linewidth}%
\ReciThales[#1]{\StrMid{#2}{1}{1}}{\StrMid{#2}{2}{2}}{\StrMid{#2}{3}{3}}{\StrMid{#2}{4}{4}}{\StrMid{#2}{5}{5}}\par
@@ -21943,7 +22850,7 @@ Barre=false,Longueur=10cm,Hauteur=5mm,Bicolore=false,EcartBarre=0%Grille est dis
%%%
% Diff\'erentes représentations graphiques
%%%
-\setKVdefault[TraceG]{Grille=false,Graduations=false,PasGradX=1,PasGradY=1,PasGrilleX=1,PasGrilleY=1,Xmin=-5.5,Xmax=5.5,Xstep=1,Ymin=-5.5,Ymax=5.5,Ystep=1,Bornea=-5.5,Borneb=5.5,LabelX={},LabelY={},LabelC=0.5,NomCourbe={},Origine={(5.5,5.5)},Fonction=false,Points=false,Invisible=false,CouleurPoint=red,CouleurTrace=black,Epaisseur=1,Relie=false,RelieSegment=false,Marque=dot,Code=false,Vide=false}%
+\setKVdefault[TraceG]{Grille=false,Graduations=false,PasGradX=1,PasGradY=1,PasGrilleX=1,PasGrilleY=1,Xmin=-5.5,Xmax=5.5,Xstep=1,Ymin=-5.5,Ymax=5.5,Ystep=1,Bornea=-5.5,Borneb=5.5,LabelX={},LabelY={},LabelC=0.5,NomCourbe={},Origine={(5.5,5.5)},Fonction=false,Points=false,Invisible=false,CouleurPoint=red,CouleurTrace=black,Epaisseur=1,Relie=false,RelieSegment=false,Marque=dot,Code=false,Vide=false,NbPointsCourbe=100}%
\defKV[TraceG]{Traces=\setKV[TraceG]{Code}}%
\newcommand\TraceGraphique[2][]{%
@@ -22149,6 +23056,7 @@ Barre=false,Longueur=10cm,Hauteur=5mm,Bicolore=false,EcartBarre=0%Grille est dis
\begin{mplibcode}
borneinf=\useKV[TraceG]{Bornea};
bornesup=\useKV[TraceG]{Borneb};
+ nbpointsCourbe:=\useKV[TraceG]{NbPointsCourbe};
xmin=\useKV[TraceG]{Xmin};
xmax=\useKV[TraceG]{Xmax};
ymin=\useKV[TraceG]{Ymin};
@@ -22263,7 +23171,7 @@ Barre=false,Longueur=10cm,Hauteur=5mm,Bicolore=false,EcartBarre=0%Grille est dis
drawoptions();
if Vide:
else:
- draw courbe1(borneinf,bornesup,100)(#2) withpen (pencircle scaled Epaisseur) withcolor colortrace;
+ draw courbe1(borneinf,bornesup,nbpointsCourbe)(#2) withpen (pencircle scaled Epaisseur) withcolor colortrace;
% labelisation
numeric t;
t=pos*length Cb1;
@@ -22285,7 +23193,7 @@ Barre=false,Longueur=10cm,Hauteur=5mm,Bicolore=false,EcartBarre=0%Grille est dis
\usepackage{ProfCollege}
\setKV[TraceG]{#1}
}
- \begin{mpost}[mpsettings={borneinf=\useKV[TraceG]{Bornea};bornesup=\useKV[TraceG]{Borneb};xmin=\useKV[TraceG]{Xmin};xmax=\useKV[TraceG]{Xmax};ymin=\useKV[TraceG]{Ymin};ymax=\useKV[TraceG]{Ymax};pasx=\useKV[TraceG]{Xstep};pasy=\useKV[TraceG]{Ystep};xu=1cm/\useKV[TraceG]{Xstep};yu=1cm/\useKV[TraceG]{Ystep};grillex=\useKV[TraceG]{PasGrilleX};grilley=\useKV[TraceG]{PasGrilleY};pos=\useKV[TraceG]{LabelC};Epaisseur=\useKV[TraceG]{Epaisseur}; color colortrace;colortrace=\useKV[TraceG]{CouleurTrace};boolean Grille,Vide;Grille=\useKV[TraceG]{Grille};Vide=\useKV[TraceG]{Vide};boolean Graduations;Graduations=\useKV[TraceG]{Graduations};
+ \begin{mpost}[mpsettings={borneinf=\useKV[TraceG]{Bornea};bornesup=\useKV[TraceG]{Borneb};nbpointsCourbe:=\useKV[TraceG]{NbPointsCourbe};xmin=\useKV[TraceG]{Xmin};xmax=\useKV[TraceG]{Xmax};ymin=\useKV[TraceG]{Ymin};ymax=\useKV[TraceG]{Ymax};pasx=\useKV[TraceG]{Xstep};pasy=\useKV[TraceG]{Ystep};xu=1cm/\useKV[TraceG]{Xstep};yu=1cm/\useKV[TraceG]{Ystep};grillex=\useKV[TraceG]{PasGrilleX};grilley=\useKV[TraceG]{PasGrilleY};pos=\useKV[TraceG]{LabelC};Epaisseur=\useKV[TraceG]{Epaisseur}; color colortrace;colortrace=\useKV[TraceG]{CouleurTrace};boolean Grille,Vide;Grille=\useKV[TraceG]{Grille};Vide=\useKV[TraceG]{Vide};boolean Graduations;Graduations=\useKV[TraceG]{Graduations};
pair Origine;
Origine=(xmin,ymin)+\useKV[TraceG]{Origine};}]
@@ -22365,7 +23273,7 @@ Barre=false,Longueur=10cm,Hauteur=5mm,Bicolore=false,EcartBarre=0%Grille est dis
drawoptions();
if Vide:
else:
- draw courbe1(borneinf,bornesup,100)(#2) withpen (pencircle scaled Epaisseur) withcolor colortrace;
+ draw courbe1(borneinf,bornesup,nbpointsCourbe)(#2) withpen (pencircle scaled Epaisseur) withcolor colortrace;
% % labelisation
numeric t;
t=pos*length Cb1;
@@ -23371,7 +24279,7 @@ u:=\useKV[ClesFormule]{Echelle};
{cube}{%
\begin{center}
\MPFigureCube\par
- Volume d'une cube : $a^3\quad(a\times a\times a)$
+ Volume d'un cube : $a^3\quad(a\times a\times a)$
\end{center}
}%
{pave}{%
@@ -24990,46 +25898,67 @@ u:=\useKV[ClesFormule]{Echelle};
n:=0;
for p_=t:
n:=n+1;
+ if substring(1,2) of p_="*":
+ label.top(TEX(substring(2,length p_) of p_),unitp*(valeur[n],0));
+ else:
label.top(TEX(p_),unitp*(valeur[n],0));
+ fi;
+ if p_<>"":
pointe(unitp*(valeur[n],0));
+ fi;
endfor;
fi;
- if AffichageCoord=3:
+ % On ajoute une paramétrisation possible à chaque point.
+ if AffichageCoord>0:
n:=0;
for p_=t:
n:=n+1;
+ if substring(1,2) of p_="*":
+ ACoord:=scantokens(substring(0,1) of p_);
+ if ACoord=3:
+ drawarrow (unitp*(valeur[n],-1))--(unitp*(valeur[n],-0.3));
+ label.bot(btex \hbox to2em{\dotfill} etex,(unitp*(valeur[n],-1)));
+ pointe(unitp*(valeur[n]-ValeurOrigine,0));
+ elseif ACoord=2:
+ if ((ValeurUnitex*valeur[n]) mod pasx)<>0:
+ label.bot(TEX("\footnotesize$\frac{\num{\fpeval{"&decimal(ValeurUnitex)&"*"&decimal(valeur[n])&"}}}{\num{"&decimal(pasx)&"}}$"),unitp*(valeur[n],0));
+ else:
+ label.bot(TEX("\footnotesize\num{\fpeval{"&decimal(ValeurUnitex)&"*"&decimal(valeur[n])&"/"&decimal(pasx)&"}}"),unitp*(valeur[n],0));
+ fi;
+ pointe(unitp*(valeur[n],0));
+ elseif ACoord=1:
+ label.bot(TEX("\footnotesize\num{\fpeval{"&decimal(ValeurOrigine)&"+"&decimal(ValeurUnitex-(ValeurOrigine))&"*"&decimal(valeur[n])&"/"&decimal(pasx)&"}}"),unitp*(valeur[n],0));
+ pointe(unitp*(valeur[n],0));
+ fi;
+ else:
+ if AffichageCoord=3:
if p_<>"":
drawarrow (unitp*(valeur[n],-1))--(unitp*(valeur[n],-0.3));
- label.bot(btex \pointilles[2em] etex,(unitp*(valeur[n],-1)));
+ label.bot(btex \hbox to2em{\dotfill} etex,(unitp*(valeur[n],-1)));
+ pointe(unitp*(valeur[n],0));
fi;
- endfor;
elseif AffichageCoord=2:
- n:=0;
- for p_=t:
- n:=n+1;
if p_<>"":
if ((ValeurUnitex*valeur[n]) mod pasx)<>0:
- label.bot(TEX("\footnotesize$\frac{\num{\fpeval{"&decimal(ValeurOrigine*pasx)&"+"&decimal(ValeurUnitex-ValeurOrigine)&"*"&decimal(valeur[n])&"}}}{\num{"&decimal(pasx)&"}}$"),unitp*(valeur[n],0));
+ label.bot(TEX("\footnotesize$\frac{\num{\fpeval{"&decimal(ValeurUnitex)&"*"&decimal(valeur[n])&"}}}{\num{"&decimal(pasx)&"}}$"),unitp*(valeur[n],0));
else:
label.bot(TEX("\footnotesize\num{\fpeval{"&decimal(ValeurUnitex)&"*"&decimal(valeur[n])&"/"&decimal(pasx)&"}}"),unitp*(valeur[n],0));
fi;
pointe(unitp*(valeur[n],0));
fi;
- endfor;
elseif AffichageCoord=1:
- n:=0;
- for p_=t:
- n:=n+1;
if p_<>"":
- label.bot(TEX("\footnotesize\num{\fpeval{"&decimal(ValeurOrigine)&"+"&decimal(ValeurUnitex-ValeurOrigine)&"*"&decimal(valeur[n])&"/"&decimal(pasx)&"}}"),unitp*(valeur[n],0));
+ label.bot(TEX("\footnotesize\num{\fpeval{"&decimal(ValeurOrigine)&"+"&decimal(ValeurUnitex-(ValeurOrigine))&"*"&decimal(valeur[n])&"/"&decimal(pasx)&"}}"),unitp*(valeur[n],0));
pointe(unitp*(valeur[n],0));
fi;
+ fi;
+ fi;
endfor;
fi;
enddef;
%----
tata(#2);
- clip currentpicture to polygone(u*(-1,-1),((maxx+0.75)*unitp,-u),((maxx+0.75)*unitp,u),u*(-1,1));
+% clip currentpicture to polygone(u*(-1,-2),((maxx+0.75)*unitp,-2u),((maxx+0.75)*unitp,2u),u*(-1,2));
\end{mplibcode}
\else
\begin{mpost}[mpsettings={unitex:=\useKV[ClesReperage]{Unitex}*cm; pasx:=\useKV[ClesReperage]{Pasx}; unitp:=unitex/pasx; ValeurUnitex:=\useKV[ClesReperage]{ValeurUnitex}; ValeurOrigine:=\useKV[ClesReperage]{ValeurOrigine}; AffichageGrad:=\AffichageGrad; AffichageCoord:=\useKV[ClesReperage]{AffichageAbs}; AffichageNom:=\AffichageNom;}]
@@ -26293,7 +27222,7 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
%%%
% Tableaux d'unit\'es
%%%
-\setKVdefault[ClesTableaux]{Virgule=true,Incline=false,Entiers=false,Decimaux=false,Milliards=false,Millions=false,Micro=false,Nano=false,Partie=false,CouleurG=gray!15,CouleurM=gray!15,Couleurm=gray!15,Couleuru=gray!15,Couleurd=gray!15,Classes=false,Nombres=false,Puissances=false,NbLignes=2,Metre=false,Are=false,Capacite=false,Carre=false,Cube=false,Litre=false,Gramme=false,Fleches=false,FlechesB=false,FlechesH=false,Colonnes=false,Prefixes=false,Escalier=false,Taille=5,Largeur=4.75em,Nom=PfCTableau,CodeAfter={},PuissancesSeules=false,Colonne=-1}
+\setKVdefault[ClesTableaux]{Virgule=true,Incline=false,Entiers=false,Decimaux=false,Milliards=false,Millions=false,Micro=false,Nano=false,Partie=false,CouleurG=gray!15,CouleurM=gray!15,Couleurm=gray!15,Couleuru=gray!15,Couleurd=gray!15,Classes=false,Nombres=false,Puissances=false,NbLignes=2,Metre=false,Are=false,Capacite=false,Carre=false,Cube=false,Litre=false,Gramme=false,Fleches=false,FlechesB=false,FlechesH=false,Colonnes=false,Prefixes=false,Escalier=false,Taille=5,Largeur=4.75em,Nom=PfCTableau,CodeAfter={},PuissancesSeules=false,Colonne=-1,Octet=false}
\newcommand\PfCTBstrut{\rule[-1.2ex]{0pt}{3.8ex}}% Top and Bottom strut
\newcommand\PfCTstrut{\rule{0pt}{3.8ex}}% Top strut
@@ -26323,6 +27252,74 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
}{}%
\PfCTableauIncline%
}{%
+ %
+ %%% Clé Octet
+ %
+ \ifboolKV[ClesTableaux]{Octet}{%
+ \[\renewcommand{\arraystretch}{1.15}%
+ \setlength{\tabcolsep}{0.275\tabcolsep}%
+ \xdef\DecalageLigne{0}
+ \begin{NiceTabular}{*{5}{wc{15pt}wc{15pt}wc{15pt}}}
+ \Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}\\
+ \hline
+ \ifboolKV[ClesTableaux]{Classes}{%
+ \xdef\DecalageLigne{\fpeval{\DecalageLigne+1}}\Block[borders={left,top,right}]{1-3}{téraoctet\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{gigaoctet\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{mégaoctet\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{kilooctet\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{octet\PfCTBstrut}&&\\
+ \hline
+ }{}%
+ \Block[borders={left,top,right}]{1-3}{To\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{Go\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{Mo\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{ko\PfCTBstrut}&&&\Block[borders={top,right}]{1-3}{o\PfCTBstrut}&&\\
+ \hline
+ \xintFor* ##1 in {\xintSeq{1}{\useKV[ClesTableaux]{NbLignes}}}\do{%
+ &&&&&&&&&&&&&&\\
+ }%
+ \Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}%
+ &&&\Block[]{1-3}{}\\
+ \CodeAfter
+ % on trace les lignes verticales
+ \xintFor* ##1 in {\xintSeq{1}{6}}\do{%
+ \tikz\draw (3-|\fpeval{3*(##1-1)+1})--(\fpeval{3+\useKV[ClesTableaux]{NbLignes}}-|\fpeval{3*(##1-1)+1});
+ }%
+ \xintifboolexpr{\useKV[ClesTableaux]{Colonnes}}{%
+ \xintFor* ##1 in {\xintSeq{1}{5}}\do{%
+ \tikz\draw[gray!50] (3-|\fpeval{3*(##1-1)+2})--(\fpeval{3+\useKV[ClesTableaux]{NbLignes}}-|\fpeval{3*(##1-1)+2});
+ \tikz\draw[gray!50] (3-|\fpeval{3*##1})--(\fpeval{3+\useKV[ClesTableaux]{NbLignes}}-|\fpeval{3*##1});
+ }%
+ }{}%
+ % On place le nombre éventuel
+ \ifx\bla#2\bla%
+ \else%
+ \setsepchar[*]{,*/}
+ \readlist*\ListeNombreAPlacer{#2}%
+ \xintFor* ##2 in{\xintSeq {1}{\ListeNombreAPlacerlen}}\do{%
+ \StrLen{\ListeNombreAPlacer[##2,1]}[\TabLongueurNombre]%
+ \xintFor* ##1 in{\xintSeq {1}{\TabLongueurNombre}}\do{%
+ \tikz\node at (\fpeval{\DecalageLigne+##2+2.5}-|\fpeval{\ListeNombreAPlacer[##2,2]-0.5+##1}) {\PfCTBstrut\StrMid{\ListeNombreAPlacer[##2,1]}{##1}{##1}};%
+ }%
+ }%
+ \fi%
+ % on trace les flèches
+ \ifboolKV[ClesTableaux]{Fleches}{\setKV[ClesTableaux]{FlechesH,FlechesB}}{}%
+ \ifboolKV[ClesTableaux]{FlechesH}{%
+ \xintFor* ##1 in {\xintSeq{1}{4}}\do{%
+ \tikz\draw[gray,->,>=latex,out=30,in=150] (1.5-|\fpeval{2.5+3*(##1-1)}) to node[above, midway]{\small$\times\num{1000}$}(1.5-|\fpeval{2.5+3*##1});%
+ }%
+ }{}%
+ \ifboolKV[ClesTableaux]{Classes}{\xdef\PfCTableauDepart{4}}{\xdef\PfCTableauDepart{3}}%
+ \ifboolKV[ClesTableaux]{FlechesB}{%
+ \xintFor* ##1 in {\xintSeq{1}{4}}\do{%
+ \tikz\draw[gray,->,>=latex,out=-150,in=-30] (\fpeval{\PfCTableauDepart+\useKV[ClesTableaux]{NbLignes}+0.5}-|\fpeval{2.5+3*##1}) to node[below,midway]{\small$\div\num{1000}$}(\fpeval{\PfCTableauDepart+\useKV[ClesTableaux]{NbLignes}+0.5}-|\fpeval{2.5+3*(##1-1)});%
+ }%
+ }{}%
+ \useKV[ClesTableaux]{CodeAfter}%
+ \end{NiceTabular}
+ \]%
+ }{}%
%
%%% Cl\'e Prefixes
%
@@ -27308,7 +28305,6 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\]%
}%
{}%
-
%
%%% Prise en compte de la cl\'e Carre
%
@@ -27653,14 +28649,27 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
colbacktitle=TrameCouleur,%
}
+\makeatletter
\newtcolorbox{MyboxJQ}[2]{%
- enhanced,
- nobeforeafter,
- left=0pt,right=0pt,top=0pt,
- text fill,
- width=\largeurcarte,
- height=\hauteurcarte,
- arc=5pt,
+ enhanced,%
+ nobeforeafter,%
+ left=0pt,right=0pt,top=0pt,%
+ text fill,%
+ width=\largeurcarte,%
+ height=\hauteurcarte,%
+ arc=5pt,%
+ underlay={%
+ \ifboolKV[Cards]{BackgroundAv}{%
+ \begin{tcbclipinterior}
+ \node[anchor=center,opacity=1]
+ at (interior.center) {%
+ \includegraphics[%
+ height=\tcb@height,
+ width=\tcb@width,
+ ]{\useKV[Cards]{ImageAv}}};%
+ \end{tcbclipinterior}%
+ }{}%
+ },%
overlay unbroken and first={%
\coordinate[yshift=-0.5\hauteurtitre] (A1) at (frame.north west);
\coordinate[yshift=0\hauteurtitre] (S3) at (frame.center);
@@ -27681,10 +28690,32 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\end{center}%
\end{minipage}};
},
- colback=white,
+ colback=white
}
-
-\usetikzlibrary{backgrounds}
+%
+\newtcolorbox{MyboxJQAr}{%
+ enhanced,%
+ nobeforeafter,%
+ left=0pt,right=0pt,top=0pt,%
+ text fill,%
+ width=\largeurcarte,%
+ height=\hauteurcarte,%
+ arc=5pt,%
+ underlay={%
+ \ifboolKV[Cards]{BackgroundAv}{%
+ \begin{tcbclipinterior}
+ \node[anchor=center,opacity=1]
+ at (interior.center) {%
+ \includegraphics[%
+ height=\tcb@height,
+ width=\tcb@width,
+ ]{\useKV[Cards]{ImageAr}}};%
+ \end{tcbclipinterior}%
+ }{}%
+ },%
+ colback=white
+}
+\makeatother
\makeatletter
%https://tex.stackexchange.com/questions/347434/clip-background-image-inside-tcolorbox
@@ -27706,7 +28737,7 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
height=\tcb@height,
width=\tcb@width,
]{\useKV[Cards]{ImageAv}}};%
- \end{tcbclipinterior},%
+ \end{tcbclipinterior}%
}{}%
},%
overlay unbroken and first={%
@@ -27775,7 +28806,8 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\newlength{\margeh}%
\newlength{\margev}%
-\NewEnviron{Trame}{%
+% \NewEnviron{Trame}{%
+\NewDocumentEnvironment{Trame}{+b}{%
\begin{tikzpicture}[remember picture,overlay]
% quadrillages horizontal et vertical
\coordinate[yshift=-\margev] (A) at (current page.north west);%
@@ -27796,11 +28828,11 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\coordinate[xshift=\largeurcards] (D2) at (D1);%
\coordinate[xshift=\largeurcards] (C3) at (C2);%
\coordinate[xshift=\largeurcards] (D3) at (D2);%
- \draw (A) -- (B);%
- \draw (A1) -- (B1);%
- \draw (A2) -- (B2);%
- \draw (A3) -- (B3);%
- \draw (A4) -- (B4);%
+ \draw (A)--(B);%
+ \draw (A1)--(B1);%
+ \draw (A2)--(B2);%
+ \draw (A3)--(B3);%
+ \draw (A4)--(B4);%
\draw (C)--(D);%
\draw (C1)--(D1);%
\draw (C2)--(D2);%
@@ -27815,7 +28847,7 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\coordinate[xshift=0mm,yshift=-\hauteurcards] (Carte7) at (Carte4);%
\coordinate[xshift=0mm,yshift=-\hauteurcards] (Carte8) at (Carte5);%
\coordinate[xshift=0mm,yshift=-\hauteurcards] (Carte9) at (Carte6);%
- \BODY%
+ #1%
\end{tikzpicture}%
}%
@@ -27825,11 +28857,12 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
Trivial=false,Symboles={\faInfinity,\faSignal,\faProjectDiagram,\faHiking,\faRuler,\faLockOpen}
}%
-\newcommand\Cartes[2][]{%
+\NewDocumentCommand\Cartes{o +m}{%[2][]{%
\useKVdefault[Cards]%
\setKV[Cards]{#1}%
\setsepchar[*]{§*/}%
\readlist*\ListeCards{#2}%
+ \setsepchar{,}%
\ifboolKV[Cards]{Landscape}{%
\setlength{\hauteurcarte}{\fpeval{\useKV[Cards]{Largeur}-\useKV[Cards]{Marge}}mm}%
\setlength{\largeurcarte}{\fpeval{\useKV[Cards]{Hauteur}-\useKV[Cards]{Marge}}mm}%
@@ -27856,17 +28889,17 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\ifboolKV[Cards]{Trame}{%
\clearpage%
\thispagestyle{empty}%
- \begin{Trame}
+ \begin{Trame}%
\multido{\i=1+1}{9}{%
\node[] at (Carte\i) {%
\begin{MyboxTrivial}%
\begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[9,m]}[hvlines]
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[9,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[\i,\fpeval{1+2*(##1-1)}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
};%
}%
@@ -27874,43 +28907,43 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\ifboolKV[Cards]{AffichageSolution}{%
\clearpage%
\thispagestyle{empty}%
- \begin{Trame}
+ \begin{Trame}%
\multido{\i=1+1}{3}{%
\node at (Carte\i) {%
\begin{MyboxTrivial}%
- \begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]
+ \begin{center}%
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[\fpeval{4-\i},\fpeval{2*##1}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
};%
}%
\multido{\i=4+1}{3}{%
\node at (Carte\i) {%
\begin{MyboxTrivial}%
- \begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]
+ \begin{center}%
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[\fpeval{10-\i},\fpeval{2*##1}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
};%
}%
\multido{\i=7+1}{3}{%
\node at (Carte\i) {%
- \begin{MyboxTrivial}
- \begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]
+ \begin{MyboxTrivial}%
+ \begin{center}%
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[\fpeval{16-\i},\fpeval{2*##1}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
};%
}%
@@ -27919,23 +28952,23 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
}{}%
}{%
\begin{MyboxTrivial}%
- \begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]
+ \begin{center}%
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[1,\fpeval{1+2*(##1-1)}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
\ifboolKV[Cards]{AffichageSolution}{%
\begin{MyboxTrivial}%
- \begin{center}
- \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]
+ \begin{center}%
+ \begin{NiceTabular}[width=0.9\largeurcarte]{X[1,m]X[10,m]}[hvlines]%
\xintFor* ##1 in{\xintSeq{1}{6}}\do{%
\rule{0pt}{0.12\hauteurcards}\Block{1-1}{\ListeSymbolesTrivial[##1]}&\ListeCards[1,\fpeval{2*##1}]\\
}%
- \end{NiceTabular}
- \end{center}
+ \end{NiceTabular}%
+ \end{center}%
\end{MyboxTrivial}%
}{}%
}%
@@ -27945,7 +28978,7 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
\ifboolKV[Cards]{Trame}{%
\clearpage%
\thispagestyle{empty}%
- \begin{Trame}
+ \begin{Trame}%
\multido{\i=1+1}{9}{%
\node at (Carte\i) {%
\begin{MyboxJQ}{\ListeCards[\i,1]}{\ListeCards[\i,2]}%
@@ -27955,10 +28988,34 @@ label.lft(LATEX("\noexpand\footnotesize\noexpand\SI{\noexpand\fpeval{"&decimal(V
}%
\end{Trame}%
\clearpage%
+ \ifboolKV[Cards]{AffichageSolution}{%
+ \thispagestyle{empty}%
+ \begin{Trame}
+ \multido{\i=1+1}{3}{%
+ \node at (Carte\i) {%
+ \begin{MyboxJQAr}%
+ \end{MyboxJQAr}%
+ };%
+ }%
+ \multido{\i=4+1}{3}{%
+ \node at (Carte\i) {%
+ \begin{MyboxJQAr}%
+ \end{MyboxJQAr}%
+ };%
+ }%
+ \multido{\i=7+1}{3}{%
+ \node at (Carte\i) {%
+ \begin{MyboxJQAr}%
+ \end{MyboxJQAr}%
+ };%
+ }%
+ \end{Trame}%
+ \clearpage%
+ }{}%
}{%
- \begin{MyboxJQ}{\ListeCards[1,1]}{\ListeCards[1,2]}%
+ \begin{MyboxJQAr}%
%%
- \end{MyboxJQ}%
+ \end{MyboxJQAr}%
}%
}{%
\ifboolKV[Cards]{Loop}{%