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authorKarl Berry <karl@freefriends.org>2013-12-18 23:43:29 +0000
committerKarl Berry <karl@freefriends.org>2013-12-18 23:43:29 +0000
commite90ec79abe03c7d1e6914218de0719d693332d61 (patch)
tree6ab571d5ee2484e3986e595835958a0b1dab2688 /Master/texmf-dist/doc/latex
parent9dd34b88c75ce6a76c749577ffd4bf7d90917f63 (diff)
pas-cours
git-svn-id: svn://tug.org/texlive/trunk@32444 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex')
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/README38
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/README.TEXLIVE7
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/attention.pngbin0 -> 3259 bytes
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/coeur.pngbin0 -> 7596 bytes
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/macro-patrons.tex318
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/macro-solides.tex717
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/macro-styles.tex444
-rw-r--r--Master/texmf-dist/doc/latex/pas-cours/prerequis.pngbin0 -> 79314 bytes
8 files changed, 1524 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/pas-cours/README b/Master/texmf-dist/doc/latex/pas-cours/README
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,38 @@
+************* README file for pas-cv **********************
+********************* ENGLISH *****************************
+
+This package uses TikZ to built mathematics lessons.
+
+Licence
+-------
+
+This program can be redistributed and/or modified under the terms
+of the LaTeX Project Public License Distributed from CTAN
+archives in directory macros/latex/base/lppl.txt.
+
+Documentation
+-------------
+
+The documentation of the package is in the ZIP file or under the
+directory /doc/ in french language.
+
+Thanks to use pas-cours.sty.
+
+************* Fichier README pour pas-cv **********************
+********************** FRANCAIS *******************************
+
+Cette extension utilise TikZ pour écrire des cours de mathématiques.
+
+Licence
+-------
+
+L'extension peut être redistribuée et/ou modifiée sous les termes
+de la licence LaTeX Project Public (voir macros/latex/base/lppl.txt).
+
+Documentation
+-------------
+
+La documentation de l'extension se trouve dans le fichier ZIP ou
+dans dans le répertoire /doc/.
+
+Merci d'utiliser pas-cours.sty.
diff --git a/Master/texmf-dist/doc/latex/pas-cours/README.TEXLIVE b/Master/texmf-dist/doc/latex/pas-cours/README.TEXLIVE
new file mode 100644
index 00000000000..42894e1d574
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/pas-cours/README.TEXLIVE
@@ -0,0 +1,7 @@
+The following files have been removed in the TeX Live installation of
+the current package, typically due to duplication, lack of space, or
+missing source code. You can find these files on CTAN at
+ http://mirror.ctan.org/macros/latex/contrib/pas-cours
+If questions or concerns, email tex-live@tug.org.
+
+ pas-cours.pdf
diff --git a/Master/texmf-dist/doc/latex/pas-cours/attention.png b/Master/texmf-dist/doc/latex/pas-cours/attention.png
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diff --git a/Master/texmf-dist/doc/latex/pas-cours/coeur.png b/Master/texmf-dist/doc/latex/pas-cours/coeur.png
new file mode 100644
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diff --git a/Master/texmf-dist/doc/latex/pas-cours/macro-patrons.tex b/Master/texmf-dist/doc/latex/pas-cours/macro-patrons.tex
new file mode 100644
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+++ b/Master/texmf-dist/doc/latex/pas-cours/macro-patrons.tex
@@ -0,0 +1,318 @@
+% Fichiers comprenant les macros de construction des patrons de solides
+
+% \patronprismereg[ n = nombre de côtés de la base,
+% h = hauteur du prisme,
+% r = rayon du cercle circonscrit à la base,
+% pos = 1 ou 2 ou ... ou n (position de la face du haut)
+% legende (booléen)]
+
+\define@cmdkey [PAS] {patronprismereg} {r}{}
+\define@cmdkey [PAS] {patronprismereg} {h}{}
+\define@cmdkey [PAS] {patronprismereg} {n}{}
+\define@cmdkey [PAS] {patronprismereg} {pos}{}
+\define@boolkey[PAS] {patronprismereg} {legende}[true]{}
+
+\presetkeys [PAS] {patronprismereg} {
+ n = 3,
+ r = 3,
+ h = 5,
+ pos = 1,
+ legende = false}{}
+
+\newcommand*{\patronprismereg}[1][]{\pasPatronprismereg[#1]}
+
+\def\pasPatronprismereg[#1]{
+ \setkeys[PAS]{patronprismereg}{#1}
+ \pgfmathparse{360/\cmdPAS@patronprismereg@n}\let\angle\pgfmathresult
+ \foreach \i in {1,...,\cmdPAS@patronprismereg@n}
+ {
+ \pgfmathparse{\cmdPAS@patronprismereg@r*cos(\angle*(\i-1))}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patronprismereg@r*sin(\angle*(\i-1))}\let\y\pgfmathresult
+ \coordinate (A\i) at (\x,\y);
+
+ \pgfmathparse{\cmdPAS@patronprismereg@r*cos(\angle*\i)}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patronprismereg@r*sin(\angle*\i)}\let\y\pgfmathresult
+ \coordinate (D\i) at (\x,\y);
+
+ \pgfmathparse{\cmdPAS@patronprismereg@h*cos(\angle/2+(\i-1)*\angle)}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patronprismereg@h*sin(\angle/2+(\i-1)*\angle)}\let\y\pgfmathresult
+ \coordinate (B\i) at ($(A\i)+(\x,\y)$);
+ \coordinate (C\i) at ($(D\i)+(\x,\y)$);
+
+ \draw (A\i) -- (D\i) -- (C\i) -- (B\i) -- cycle;
+ }
+
+ \ifPAS@patronprismereg@legende
+ \draw[dotted] (D1) -- (0,0) -- (A1);
+ \pgfmathparse{.5*cos(\angle/2)}\let\x\pgfmathresult
+ \pgfmathparse{.5*sin(\angle/2)}\let\y\pgfmathresult
+ \draw[dotted,<->,>=stealth'] (.5,0) arc (0:\angle:.5cm);
+ \node[right,scale=.5] at (\x,\y) {\angle $^{\circ}$};
+ \node[below,scale=.5] at (\cmdPAS@patronprismereg@r/2,0) {\cmdPAS@patronprismereg@r};
+ \coordinate (M) at (barycentric cs:A1=1,D1=1);
+ \coordinate (N) at (barycentric cs:B1=1,C1=1);
+ \draw[<->,>=stealth',dotted] (M) -- (N) node[midway,above,scale=.5,rotate=\angle/2] {\cmdPAS@patronprismereg@h};
+ \fi
+
+ % Face du haut
+ \pgfmathparse{2*\cmdPAS@patronprismereg@r*cos(\angle/2)+\cmdPAS@patronprismereg@h}\let\d\pgfmathresult
+ \pgfmathparse{\d*cos(\angle/2+(\cmdPAS@patronprismereg@pos-1)*\angle)}\let\tx\pgfmathresult
+ \pgfmathparse{\d*sin(\angle/2+(\cmdPAS@patronprismereg@pos-1)*\angle)}\let\ty\pgfmathresult
+ \coordinate (O) at (\tx,\ty);
+ \foreach \i in {1,...,\cmdPAS@patronprismereg@n}
+ {
+ \coordinate (C\i) at ($(A\i)+(\tx,\ty)$);
+ \coordinate (B\i) at (barycentric cs:C\i=1,O=-2);
+ }
+
+ \draw (B1) \foreach \i in {2,...,\cmdPAS@patronprismereg@n}{-- (B\i)} -- cycle;
+}
+
+% \patronpyramreg[ n = nombre de côtés de la base,
+% h = hauteur de la pyramide,
+% r = rayon du cercle circonscrit à la base,
+% legende (booléen)]
+
+\define@cmdkey [PAS] {patronpyramreg} {r}{}
+\define@cmdkey [PAS] {patronpyramreg} {h}{}
+\define@cmdkey [PAS] {patronpyramreg} {n}{}
+\define@boolkey[PAS] {patronpyramreg} {legende}[true]{}
+
+\presetkeys [PAS] {patronpyramreg} {
+ n = 3,
+ r = 3,
+ h = 5,
+ legende = false}{}
+
+\newcommand*{\patronpyramreg}[1][]{\pasPatronpyramreg[#1]}
+
+\def\pasPatronpyramreg[#1]{
+ \setkeys[PAS]{patronpyramreg}{#1}
+ \foreach \i in {1,...,\cmdPAS@patronpyramreg@n}
+ {
+ \pgfmathparse{\cmdPAS@patronpyramreg@r*cos((360/\cmdPAS@patronpyramreg@n)*(\i-1))}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patronpyramreg@r*sin((360/\cmdPAS@patronpyramreg@n)*(\i-1))}\let\y\pgfmathresult
+ \coordinate (A\i) at (\x,\y);
+ \pgfmathparse{(\cmdPAS@patronpyramreg@h+\cmdPAS@patronpyramreg@r*cos(180/\cmdPAS@patronpyramreg@n))*cos((360/\cmdPAS@patronpyramreg@n)*(\i-1)+(180/\cmdPAS@patronpyramreg@n))}\let\x\pgfmathresult
+ \pgfmathparse{(\cmdPAS@patronpyramreg@h+\cmdPAS@patronpyramreg@r*cos(180/\cmdPAS@patronpyramreg@n))*sin((360/\cmdPAS@patronpyramreg@n)*(\i-1)+(180/\cmdPAS@patronpyramreg@n))}\let\y\pgfmathresult
+ \coordinate (S\i) at (\x,\y);
+ }
+ \draw (A1) -- (S1) \foreach \i in {2,...,\cmdPAS@patronpyramreg@n} {-- (A\i) -- (S\i)} -- cycle;
+ \draw (A1) \foreach \i in {2,...,\cmdPAS@patronpyramreg@n} {-- (A\i)} -- cycle;
+ \ifPAS@patronpyramreg@legende
+ \draw[dotted] (A1) -- (0,0) -- (A2);
+ \pgfmathparse{360/\cmdPAS@patronpyramreg@n}\let\angle\pgfmathresult
+ \pgfmathparse{.5*cos(180/\cmdPAS@patronpyramreg@n)}\let\x\pgfmathresult
+ \pgfmathparse{.5*sin(180/\cmdPAS@patronpyramreg@n)}\let\y\pgfmathresult
+ \draw[dotted,<->,>=stealth'] (.5,0) arc (0:\angle:.5cm);
+ \node[right,scale=.5] at (\x,\y) {\angle $^{\circ}$};
+ \node[below,scale=.5] at (\cmdPAS@patronpyramreg@r/2,0) {\cmdPAS@patronpyramreg@r};
+ \coordinate (M) at (barycentric cs:A1=1,A2=1);
+ \draw[<->,>=stealth',dotted] (M) -- (S1) node[midway,above,scale=.5,rotate=\angle/2] {\cmdPAS@patronpyramreg@h};
+ \fi
+}
+
+% \patroncone
+% Synthaxe : \patroncone[ r = rayon de la base,
+% h = hauteur du cône,
+% legende (booléen)]
+
+\define@cmdkey [PAS] {patroncone} {r}{}
+\define@cmdkey [PAS] {patroncone} {h}{}
+\define@boolkey[PAS] {patroncone} {legende}[true]{}
+
+\presetkeys [PAS] {patroncone} {
+ r = 3,
+ h = 5,
+ legende = false}{}
+
+\newcommand*{\patroncone}[1][]{\pasPatroncone[#1]}
+
+\def\pasPatroncone[#1]{
+ \setkeys[PAS]{patroncone}{#1}
+ \pgfmathparse{360*\cmdPAS@patroncone@r/\cmdPAS@patroncone@h}\let\angle\pgfmathresult
+ \draw (0,-\cmdPAS@patroncone@h-\cmdPAS@patroncone@r) circle (\cmdPAS@patroncone@r cm);
+ \pgfmathparse{\cmdPAS@patroncone@h*cos(270-\angle/2)}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patroncone@h*sin(270-\angle/2)}\let\y\pgfmathresult
+ \draw (0,0) -- (\x,\y) arc (270-\angle/2:270+\angle/2:\cmdPAS@patroncone@h cm) -- cycle;
+ \ifPAS@patroncone@legende
+ \node[below] at (\x/2,\y/2) {\cmdPAS@patroncone@h};
+ \node[below] at (-\x/2,\y/2) {\cmdPAS@patroncone@h};
+ \pgfmathparse{cos(270-\angle/2)}\let\x\pgfmathresult
+ \pgfmathparse{sin(270-\angle/2)}\let\y\pgfmathresult
+ \draw[<->,>=stealth'] (\x,\y) arc (270-\angle/2:270+\angle/2:1cm);
+ \node[above,scale=.5] at (0,-1.3) {\angle $^{\circ}$};
+ \pgfmathparse{\cmdPAS@patroncone@r*cos(-30)}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@patroncone@r*sin(-30)-\cmdPAS@patroncone@h-\cmdPAS@patroncone@r}\let\y\pgfmathresult
+ \draw[<->,>=stealth'] (0,-\cmdPAS@patroncone@h-\cmdPAS@patroncone@r) -- (\x,\y) node[midway,above] {\cmdPAS@patroncone@r};
+ \fi
+}
+
+% \patroncylindre
+% Synthaxe : \patroncylindre[ r = rayon de la base,
+% h = hauteur du cône,
+% legende (booléen)]
+
+\define@cmdkey [PAS] {patroncylindre} {r}{}
+\define@cmdkey [PAS] {patroncylindre} {h}{}
+\define@boolkey[PAS] {patroncylindre} {legende}[true]{}
+
+\presetkeys [PAS] {patroncylindre} {
+ r = 2,
+ h = 5,
+ legende = false}{}
+
+\newcommand*{\patroncylindre}[1][]{\pasPatroncylindre[#1]}
+
+\def\pasPatroncylindre[#1]{
+ \setkeys[PAS]{patroncylindre}{#1}
+ \draw (0,\cmdPAS@patroncylindre@h+\cmdPAS@patroncylindre@r) circle (\cmdPAS@patroncylindre@r cm);
+ \draw (0,-\cmdPAS@patroncylindre@r) circle (\cmdPAS@patroncylindre@r cm);
+ \pgfmathparse{\cmdPAS@patroncylindre@r*3.19159}\let\demilongueur\pgfmathresult
+ \draw (-\demilongueur,0) rectangle +(2*\demilongueur,\cmdPAS@patroncylindre@h);
+ \ifPAS@patroncylindre@legende
+ \draw[<->,>=stealth'] (-\demilongueur,-2*\cmdPAS@patroncylindre@r-1) -- (\demilongueur,-2*\cmdPAS@patroncylindre@r-1) node[midway,fill=white] {$2\pi \times \cmdPAS@patroncylindre@r$};
+ \draw[dotted] (-\demilongueur,0) -- (-\demilongueur,-2*\cmdPAS@patroncylindre@r-1);
+ \draw[dotted] (\demilongueur,0) -- (\demilongueur,-2*\cmdPAS@patroncylindre@r-1);
+ \draw[<->,>=stealth'] (\demilongueur+1,0) -- (\demilongueur+1,\cmdPAS@patroncylindre@h) node[midway,right] {\cmdPAS@patroncylindre@h};
+ \draw[dotted] (\demilongueur,0) -- (\demilongueur+1,0);
+ \draw[dotted] (\demilongueur,\cmdPAS@patroncylindre@h) -- (\demilongueur+1,\cmdPAS@patroncylindre@h);
+ \draw[<->,>=stealth'] (0,\cmdPAS@patroncylindre@h+\cmdPAS@patroncylindre@r) -- (\cmdPAS@patroncylindre@r,\cmdPAS@patroncylindre@h+\cmdPAS@patroncylindre@r) node[midway,fill=white] {\cmdPAS@patroncylindre@r};
+ \draw[<->,>=stealth'] (0,-\cmdPAS@patroncylindre@r) -- (\cmdPAS@patroncylindre@r,-\cmdPAS@patroncylindre@r) node[midway,fill=white] {\cmdPAS@patroncylindre@r};
+ \fi
+}
+
+
+% \patronpave : dessine un patron de pavé droit
+% Synthaxe : \patronpave[ a = dimension 1,
+% b = dimension 2,
+% c = dimension 3,
+% pos = position des rabats (1, 2, 3 ou 4),
+% codages (booléen),
+% legende (booléen)]
+
+\define@cmdkey [PAS] {patronpave} {a}{}
+\define@cmdkey [PAS] {patronpave} {b}{}
+\define@cmdkey [PAS] {patronpave} {c}{}
+\define@cmdkey [PAS] {patronpave} {pos}{}
+\define@boolkey[PAS] {patronpave} {codages}[true]{}
+\define@boolkey[PAS] {patronpave} {legende}[true]{}
+
+\presetkeys [PAS] {patronpave} {
+ a = 3,
+ b = 3,
+ c = 3,
+ pos = 2,
+ codages = false,
+ legende = false}{}
+
+\newcommand*{\patronpave}[1][]{\pasPatronpave[#1]}
+
+\def\pasPatronpave[#1]{
+ \setkeys[PAS]{patronpave}{#1}
+ \draw (0,0) rectangle +(2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b);
+ \draw (\cmdPAS@patronpave@c,0) -- (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b);
+ \draw (\cmdPAS@patronpave@a+\cmdPAS@patronpave@c,0) -- (\cmdPAS@patronpave@a+\cmdPAS@patronpave@c,\cmdPAS@patronpave@b);
+ \draw (\cmdPAS@patronpave@a+2*\cmdPAS@patronpave@c,0) -- (\cmdPAS@patronpave@a+2*\cmdPAS@patronpave@c,\cmdPAS@patronpave@b);
+ \ifPAS@patronpave@codages
+ \node[scale=.5] at (\cmdPAS@patronpave@c/2,\cmdPAS@patronpave@b) {///};
+ \node[scale=.5] at (\cmdPAS@patronpave@c/2,0) {///};
+ \node[scale=.5] at (3*\cmdPAS@patronpave@c/2+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b) {///};
+ \node[scale=.5] at (3*\cmdPAS@patronpave@c/2+\cmdPAS@patronpave@a,0) {///};
+ \node[scale=.5] at (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a/2,0) {/};
+ \node[scale=.5] at (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a/2,\cmdPAS@patronpave@b) {/};
+ \node[scale=.5] at (2*\cmdPAS@patronpave@c+3*\cmdPAS@patronpave@a/2,0) {/};
+ \node[scale=.5] at (2*\cmdPAS@patronpave@c+3*\cmdPAS@patronpave@a/2,\cmdPAS@patronpave@b) {/};
+ \node[rotate=90,scale=.5] at (0,\cmdPAS@patronpave@b/2) {//};
+ \node[rotate=90,scale=.5] at (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b/2) {//};
+ \node[rotate=90,scale=.5] at (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b/2) {//};
+ \node[rotate=90,scale=.5] at (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b/2) {//};
+ \node[rotate=90,scale=.5] at (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b/2) {//};
+ \fi
+ \IfStrEq{\cmdPAS@patronpave@pos}{1}
+ {
+ \draw (0,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) rectangle +(\cmdPAS@patronpave@c,-2*\cmdPAS@patronpave@a-\cmdPAS@patronpave@b);
+ \ifPAS@patronpave@codages
+ \node[scale=.5,rotate=90] at (0,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5] at (\cmdPAS@patronpave@c/2,\cmdPAS@patronpave@a+\cmdPAS@patronpave@b) {///};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5,rotate=90] at (0,-\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5] at (\cmdPAS@patronpave@c/2,-\cmdPAS@patronpave@a) {///};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c,-\cmdPAS@patronpave@a/2) {/};
+ \fi
+ \ifPAS@patronpave@legende
+ \draw[gray,dotted] (0,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) -- (0,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1);
+ \draw[gray,dotted] (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) -- (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1);
+ \draw[<->,>=stealth'] (0,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1) -- (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1) node[midway,above] {\cmdPAS@patronpave@c};
+ \draw[gray,dotted] (\cmdPAS@patronpave@a+2*\cmdPAS@patronpave@c,0) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,-1);
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,0) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,-1);
+ \draw[<->,>=stealth'] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,-1) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,-1) node[midway,below] {\cmdPAS@patronpave@a};
+ \fi
+ }
+ {
+ \IfStrEq{\cmdPAS@patronpave@pos}{2}
+ {
+ \draw (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) rectangle +(\cmdPAS@patronpave@a,-2*\cmdPAS@patronpave@c-\cmdPAS@patronpave@b);
+ \ifPAS@patronpave@codages
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5] at (\cmdPAS@patronpave@a/2+\cmdPAS@patronpave@c,\cmdPAS@patronpave@c+\cmdPAS@patronpave@b) {/};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c,-\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5] at (\cmdPAS@patronpave@a/2+\cmdPAS@patronpave@c,-\cmdPAS@patronpave@c) {/};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,-\cmdPAS@patronpave@c/2) {///};
+ \fi
+ \ifPAS@patronpave@legende
+ \draw[gray,dotted] (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) -- (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1);
+ \draw[gray,dotted] (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) -- (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1);
+ \draw[<->,>=stealth'] (\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1) -- (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1) node[midway,above] {\cmdPAS@patronpave@a};
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1);
+ \draw[<->,>=stealth'] (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1) node[midway,above] {\cmdPAS@patronpave@c};
+ \fi
+ }
+ {
+ \IfStrEq{\cmdPAS@patronpave@pos}{3}
+ {
+ \draw (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) rectangle +(\cmdPAS@patronpave@c,-2*\cmdPAS@patronpave@a-\cmdPAS@patronpave@b);
+ \ifPAS@patronpave@codages
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@a+\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5] at (\cmdPAS@patronpave@a+\cmdPAS@patronpave@c+\cmdPAS@patronpave@c/2,\cmdPAS@patronpave@a+\cmdPAS@patronpave@b) {///};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@a+2*\cmdPAS@patronpave@c,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@a+\cmdPAS@patronpave@c,-\cmdPAS@patronpave@a/2) {/};
+ \node[scale=.5] at (\cmdPAS@patronpave@a+3*\cmdPAS@patronpave@c/2,-\cmdPAS@patronpave@a) {///};
+ \node[scale=.5,rotate=90] at (\cmdPAS@patronpave@a+2*\cmdPAS@patronpave@c,-\cmdPAS@patronpave@a/2) {/};
+ \fi
+ \ifPAS@patronpave@legende
+ \draw[gray,dotted] (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) -- (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1);
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1);
+ \draw[<->,>=stealth'] (\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@a+1) node[midway,above] {\cmdPAS@patronpave@c};
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1);
+ \draw[<->,>=stealth'] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+1) node[midway,above] {\cmdPAS@patronpave@a};
+ \fi
+ }
+ {
+ \draw (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) rectangle +(\cmdPAS@patronpave@a,-2*\cmdPAS@patronpave@c-\cmdPAS@patronpave@b);
+ \ifPAS@patronpave@codages
+ \node[scale=.5,rotate=90] at (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5] at (2*\cmdPAS@patronpave@c+3*\cmdPAS@patronpave@a/2,\cmdPAS@patronpave@c+\cmdPAS@patronpave@b) {/};
+ \node[scale=.5,rotate=90] at (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5,rotate=90] at (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,-\cmdPAS@patronpave@c/2) {///};
+ \node[scale=.5] at (2*\cmdPAS@patronpave@c+3*\cmdPAS@patronpave@a/2,-\cmdPAS@patronpave@c) {/};
+ \node[scale=.5,rotate=90] at (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,-\cmdPAS@patronpave@c/2) {///};
+ \fi
+ \ifPAS@patronpave@legende
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) -- (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1);
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1);
+ \draw[<->,>=stealth'] (2*\cmdPAS@patronpave@c+\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b+\cmdPAS@patronpave@c+1) node[midway,above] {\cmdPAS@patronpave@a};
+ \draw[gray,dotted] (0,0) -- (0,-1);
+ \draw[gray,dotted] (\cmdPAS@patronpave@c,0) -- (\cmdPAS@patronpave@c,-1);
+ \draw[<->,>=stealth'] (0,-1) -- (\cmdPAS@patronpave@c,-1) node[midway,below] {\cmdPAS@patronpave@c};
+ \fi
+ }
+ }
+ }
+ \ifPAS@patronpave@legende
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,\cmdPAS@patronpave@b) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a+1,\cmdPAS@patronpave@b);
+ \draw[gray,dotted] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a,0) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a+1,0);
+ \draw[<->,>=stealth'] (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a+1,\cmdPAS@patronpave@b) -- (2*\cmdPAS@patronpave@c+2*\cmdPAS@patronpave@a+1,0) node[midway,right] {\cmdPAS@patronpave@b};
+ \fi
+}
diff --git a/Master/texmf-dist/doc/latex/pas-cours/macro-solides.tex b/Master/texmf-dist/doc/latex/pas-cours/macro-solides.tex
new file mode 100644
index 00000000000..7a33a05a89d
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/pas-cours/macro-solides.tex
@@ -0,0 +1,717 @@
+% Fichier comprenant les macros construisant les solides
+
+% \prismereg : dessine un prisme à base régulière
+% Synthaxe : \prismreg[ n = nombre de côtés de la base (>2) - par défaut : 3,
+% bordercolor = ... (par défaut : noir),
+% incolor = ... (par défaut : blanc),
+% coefopaq = ... (par défaut : 0.5),
+% axe (booléen : si oui, axe tracé),
+% axecolor = couleur de l'axe (par défaut : rouge),
+% name (booléen : si oui, nom du sommet et du centre de la base mentionnés),
+% sommet = nom du sommet (par défaut : S),
+% posommet = ...,
+% centre = nom du centre de la base (par défaut : O),
+% scalecentre = coef. d'agrandissement du point du centre de la base,
+% poscentre = position du nom du centre de la base (par défaut : below),
+% hauteur = ... (par défaut, 5 cm),
+% rayon = ... (par défaut, 2 cm),
+% legende : booléen,
+% incl = coefficient d'inclinaison de la base (par défaut : 1),
+% rotat = angle de rotation (par défaut : 0°)]
+
+\define@cmdkey [PAS] {prismereg} {n}{}
+\define@cmdkey [PAS] {prismereg} {bordercolor}{}
+\define@cmdkey [PAS] {prismereg} {incolor}{}
+\define@cmdkey [PAS] {prismereg} {coefopaq}{}
+\define@boolkey[PAS] {prismereg} {axe}[true]{}
+\define@cmdkey [PAS] {prismereg} {axecolor}{}
+\define@boolkey[PAS] {prismereg} {name}[true]{}
+\define@boolkey[PAS] {prismereg} {legende}[true]{}
+\define@cmdkey [PAS] {prismereg} {hauteur}{}
+\define@cmdkey [PAS] {prismereg} {rayon}{}
+\define@cmdkey [PAS] {prismereg} {incl}{}
+\define@cmdkey [PAS] {prismereg} {rotat}{}
+
+\presetkeys [PAS] {prismereg} {
+ n = 3,
+ bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ axe = false,
+ axecolor = red,
+ legende = false,
+ name = false,
+ hauteur = 5,
+ rayon = 2,
+ rotat = 0.1,
+ incl = 1}{}
+
+\newcommand*{\prismereg}[1][]{\pasPrismereg[#1]}
+
+\def\pasPrismereg[#1]{
+ \setkeys[PAS]{prismereg}{#1}
+ \pgfmathparse{\cmdPAS@prismereg@n==3}
+ \IfStrEq{\pgfmathresult}{1.0}{\def\rotat{10}}{\def\rotat{\cmdPAS@prismereg@rotat}}
+ \def\cotes{\cmdPAS@prismereg@n}
+ \pgfmathparse{\cotes-1}\let\cote\pgfmathresult
+ \ifPAS@prismereg@name
+ \foreach \i in {1,2,...,\cotes}
+ {
+ \pgfmathparse{(360/\cotes)*(\i-1)+\cmdPAS@prismereg@rotat}\let\angle\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\angle)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(\angle)}\let\My\pgfmathresult
+ \IfStrEq{\angle}{0.1}
+ {
+ \def\posname{right}
+ }
+ {
+ \IfStrEq{\angle}{180.0}
+ {
+ \def\posname{left}
+ }
+ {
+ \IfStrEq{\angle}{90.0}
+ {
+ \def\posname{above}
+ }
+ {
+ \IfStrEq{\angle}{270.0}
+ {
+ \def\posname{below}
+ }
+ {
+ \pgfmathparse{\angle<180}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \pgfmathparse{\angle<90}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{above right}
+ }
+ {
+ \def\posname{above left}
+ }
+ }
+ {
+ \pgfmathparse{\angle<270}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{below left}
+ }
+ {
+ \def\posname{below right}
+ }
+ }
+ }
+ }
+ }
+ }
+ \node[\posname,\cmdPAS@prismereg@bordercolor] at (\Mx,\My) {$A_{\i}$};
+ }
+ \fi
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos((360/\cotes)*\cote+\rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin((360/\cotes)*\cote+\rotat)}\let\My\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\rotat)}\let\Nx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(\rotat)}\let\Ny\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos((360/\cotes)+\rotat)}\let\Px\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin((360/\cotes)+\rotat)}\let\Py\pgfmathresult
+ \shade[draw=\cmdPAS@prismereg@bordercolor,shading=ball, ball color=\cmdPAS@prismereg@incolor,opacity=\cmdPAS@prismereg@coefopaq] (\Nx,\Ny) -- (\Px,\Py) -- (\Px,\Py+\cmdPAS@prismereg@hauteur) -- (\Nx,\Ny+\cmdPAS@prismereg@hauteur) -- cycle;
+ \draw[\cmdPAS@prismereg@bordercolor] (\Mx,\My) -- (\Nx,\Ny) -- (\Nx,\Ny+\cmdPAS@prismereg@hauteur);
+ \foreach \i in {1,...,\cote}
+ {
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos((360/\cotes)*\i+\rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin((360/\cotes)*\i+\rotat)}\let\My\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@hauteur+\cmdPAS@prismereg@incl*sin((360/\cotes)*\i+\rotat)}\let\MMy\pgfmathresult
+ \path[coordinate] (\Mx,\MMy) coordinate (T\i);
+ \IfStrEq{\i}{1}{\global\def\xi{\Mx}\global\def\yi{\My}}{}
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos((360/\cotes)*(\i-1)+\rotat)}\let\Nx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin((360/\cotes)*(\i-1)+\rotat)}\let\Ny\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos((360/\cotes)*(\i+1)+\rotat)}\let\Px\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin((360/\cotes)*(\i+1)+\rotat)}\let\Py\pgfmathresult
+ \IfStrEq{\cotes}{3}{\def\ang{120}}{\def\ang{140}}
+ \pgfmathparse{(360/\cotes)*\i<181}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \draw[dotted,\cmdPAS@prismereg@bordercolor] (\Nx,\Ny) -- (\Mx,\My);
+ }
+ {
+ \draw[\cmdPAS@prismereg@bordercolor] (\Nx,\Ny) -- (\Mx,\My);
+ }
+ \pgfmathparse{(360/\cotes)*\i<\ang}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \shade[shading=ball, ball color=\cmdPAS@prismereg@incolor,opacity=\cmdPAS@prismereg@coefopaq] (\Mx,\My+\cmdPAS@prismereg@hauteur) -- (\Mx,\My) -- (\Px,\Py) -- (\Px,\Py+\cmdPAS@prismereg@hauteur) -- cycle;
+ \draw[dotted,\cmdPAS@prismereg@bordercolor] (\Mx,\My) -- (\Mx,\My+\cmdPAS@prismereg@hauteur);
+ }
+ {
+ \shade[shading=ball, ball color=\cmdPAS@prismereg@incolor,opacity=\cmdPAS@prismereg@coefopaq] (\Mx,\My+\cmdPAS@prismereg@hauteur) -- (\Mx,\My) -- (\Px,\Py) -- (\Px,\Py+\cmdPAS@prismereg@hauteur) -- cycle;
+ \draw[\cmdPAS@prismereg@bordercolor] (\Mx,\My+\cmdPAS@prismereg@hauteur) -- (\Mx,\My) -- (\Px,\Py) -- (\Px,\Py+\cmdPAS@prismereg@hauteur);
+ }
+ }
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@hauteur+\cmdPAS@prismereg@incl*sin(\rotat)}\let\MMy\pgfmathresult
+ \path[coordinate] (\Mx,\MMy) coordinate (T\cotes);
+ \shade[shading=ball, ball color=\cmdPAS@prismereg@incolor,opacity=\cmdPAS@prismereg@coefopaq] (T1)
+ \foreach \i in {2,...,\cotes}{--(T\i)}--cycle;
+ \draw[\cmdPAS@prismereg@bordercolor] (T1)
+ \foreach \i in {2,...,\cotes}{--(T\i)}--cycle;
+ \ifPAS@prismereg@legende
+ \IfStrEq{\cmdPAS@prismereg@incolor}{white}{\def\couleur{black}}{\def\couleur{\cmdPAS@prismereg@incolor}}
+ % Bases
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(-85)+.5}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(-85)-1}\let\y\pgfmathresult
+ \draw[<-,>=stealth,dotted,\couleur] (.5,-.5) to [bend right=30] (\x,\y) node[right,\couleur] {\texttt{base (polygonale)}};
+ \draw[<-,>=stealth,dotted,\couleur] (.5,.5+\cmdPAS@prismereg@hauteur) to [bend left=30] (\x,\y+\cmdPAS@prismereg@hauteur+4) node[right,\couleur] {\texttt{base (polygonale)}};
+ % Faces latérales
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(\rotat)}\let\My\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\rotat-360/\cotes)}\let\Nx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(\rotat-360/\cotes)}\let\Ny\pgfmathresult
+ \coordinate (M) at (\Mx,\My);
+ \coordinate (N) at (\Nx,\Ny);
+ \coordinate (T) at (\Nx,\Ny+\cmdPAS@prismereg@hauteur);
+ \coordinate (G) at (barycentric cs:M=1,N=1,T=1,T\cotes=1);
+ \draw[<-,>=stealth,\couleur] (G) to [bend left=30] ($(G)+(1.5,.5)$) node[right,\couleur] {\begin{minipage}{3cm}\texttt{face lat\'erale (rectangulaire)}\end{minipage}};
+ % Hauteur
+ \draw[\cmdPAS@prismereg@axecolor,dotted] (T\cotes) -- ($(T\cotes)+(5,0)$);
+ \draw[\cmdPAS@prismereg@axecolor,dotted] (M) -- ($(M)+(5,0)$);
+ \draw[<->,\cmdPAS@prismereg@axecolor,>=stealth'] ($(T\cotes)+(5,0)$) -- ($(M)+(5,0)$) node[midway,right,\cmdPAS@prismereg@axecolor] {\texttt{hauteur}};
+ \fi
+ \ifPAS@prismereg@axe
+ \draw[dotted,\cmdPAS@prismereg@axecolor] (0,\cmdPAS@prismereg@hauteur) -- (0,-\cmdPAS@prismereg@incl);
+ \draw[\cmdPAS@prismereg@axecolor] (0,\cmdPAS@prismereg@hauteur) -- (0,\cmdPAS@prismereg@hauteur+1);
+ \draw[\cmdPAS@prismereg@axecolor] (0,-\cmdPAS@prismereg@incl) -- (0,-\cmdPAS@prismereg@incl-1);
+ \ifPAS@prismereg@legende
+ \draw[<-,>=stealth',\cmdPAS@prismereg@axecolor] (0,\cmdPAS@prismereg@hauteur+.5) to [bend right=20] (-\cmdPAS@prismereg@rayon/2,\cmdPAS@prismereg@hauteur+1) node[left,\cmdPAS@prismereg@axecolor] {\texttt{axe de rotation}};
+ \fi
+ \fi
+ \ifPAS@prismereg@name
+ \foreach \i in {1,2,...,\cotes}
+ {
+ \pgfmathparse{(360/\cotes)*(\i-1)+\cmdPAS@prismereg@rotat}\let\angle\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@rayon*cos(\angle)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@prismereg@incl*sin(\angle)}\let\My\pgfmathresult
+ \IfStrEq{\angle}{0.1}
+ {
+ \def\posname{right}
+ }
+ {
+ \IfStrEq{\angle}{180.0}
+ {
+ \def\posname{left}
+ }
+ {
+ \IfStrEq{\angle}{90.0}
+ {
+ \def\posname{above}
+ }
+ {
+ \IfStrEq{\angle}{270.0}
+ {
+ \def\posname{below}
+ }
+ {
+ \pgfmathparse{\angle<180}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \pgfmathparse{\angle<90}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{above right}
+ }
+ {
+ \def\posname{above left}
+ }
+ }
+ {
+ \pgfmathparse{\angle<270}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{below left}
+ }
+ {
+ \def\posname{below right}
+ }
+ }
+ }
+ }
+ }
+ }
+ \node[\posname,\cmdPAS@prismereg@bordercolor] at (\Mx,\My+\cmdPAS@prismereg@hauteur) {$B_{\i}$};
+ }
+ \fi
+}
+
+
+% \pyramreg : dessine une pyramide à base régulière
+% Synthaxe : \pyramreg[ n = nombre de côtés de la base (>2) - par défaut : 3,
+% bordercolor = ... (par défaut : noir),
+% incolor = ... (par défaut : blanc),
+% coefopaq = ... (par défaut : 0.5),
+% axe (booléen : si oui, axe tracé),
+% axecolor = couleur de l'axe (par défaut : rouge),
+% name (booléen : si oui, nom du sommet et du centre de la base mentionnés),
+% sommet = nom du sommet (par défaut : S),
+% posommet = ...,
+% centre = nom du centre de la base (par défaut : O),
+% scalecentre = coef. d'agrandissement du point du centre de la base,
+% poscentre = position du nom du centre de la base (par défaut : below),
+% hauteur = ... (par défaut, 5 cm),
+% rayon = ... (par défaut, 2 cm),
+% legende : booléen,
+% incl = coefficient d'inclinaison de la base (par défaut : 1),
+% rotat = angle de rotation]
+
+\define@cmdkey [PAS] {pyramreg} {n}{}
+\define@cmdkey [PAS] {pyramreg} {bordercolor}{}
+\define@cmdkey [PAS] {pyramreg} {incolor}{}
+\define@cmdkey [PAS] {pyramreg} {coefopaq}{}
+\define@boolkey[PAS] {pyramreg} {axe}[true]{}
+\define@cmdkey [PAS] {pyramreg} {axecolor}{}
+\define@boolkey[PAS] {pyramreg} {name}[true]{}
+\define@boolkey[PAS] {pyramreg} {legende}[true]{}
+\define@cmdkey [PAS] {pyramreg} {sommet}{}
+\define@cmdkey [PAS] {pyramreg} {posommet}{}
+\define@cmdkey [PAS] {pyramreg} {centre}{}
+\define@cmdkey [PAS] {pyramreg} {poscentre}{}
+\define@cmdkey [PAS] {pyramreg} {scalecentre}{}
+\define@cmdkey [PAS] {pyramreg} {hauteur}{}
+\define@cmdkey [PAS] {pyramreg} {rayon}{}
+\define@cmdkey [PAS] {pyramreg} {rotat}{}
+\define@cmdkey [PAS] {pyramreg} {incl}{}
+
+\presetkeys [PAS] {pyramreg} {
+ n = 3,
+ bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ axe = false,
+ axecolor = red,
+ name = false,
+ legende = false,
+ sommet = S,
+ posommet = above,
+ centre = O,
+ poscentre = below,
+ scalecentre = 1,
+ hauteur = 5,
+ rayon = 2,
+ rotat = 0.1,
+ incl = 1}{}
+
+\newcommand*{\pyramreg}[1][]{\pasPyramreg[#1]}
+
+\def\pasPyramreg[#1]{
+ \setkeys[PAS]{pyramreg}{#1}
+ \def\cotes{\cmdPAS@pyramreg@n}
+ \pgfmathparse{\cotes-1}\let\cote\pgfmathresult
+ \ifPAS@pyramreg@legende
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos(-85)+.5}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin(-85)-1}\let\y\pgfmathresult
+ \draw[<-,>=stealth,dotted,\cmdPAS@pyramreg@incolor] (.5,-.5) to [bend right=30] (\x,\y) node[right,\cmdPAS@pyramreg@incolor] {\texttt{base (polygonale)}};
+ \fi
+ \ifPAS@pyramreg@name
+ \fill[\cmdPAS@pyramreg@bordercolor] (0,0) circle (\cmdPAS@pyramreg@scalecentre*0.01cm) node[\cmdPAS@pyramreg@bordercolor,\cmdPAS@pyramreg@poscentre] {\cmdPAS@pyramreg@centre};
+ \node[\cmdPAS@pyramreg@posommet,\cmdPAS@pyramreg@bordercolor] at (0,\cmdPAS@pyramreg@hauteur) {\cmdPAS@pyramreg@sommet};
+ \foreach \i in {1,2,...,\cotes}
+ {
+ \pgfmathparse{(360/\cotes)*(\i-1)+\cmdPAS@pyramreg@rotat}\let\angle\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos(\angle)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin(\angle)}\let\My\pgfmathresult
+ \IfStrEq{\angle}{0.1}
+ {
+ \def\posname{right}
+ }
+ {
+ \IfStrEq{\angle}{180.0}
+ {
+ \def\posname{left}
+ }
+ {
+ \IfStrEq{\angle}{90.0}
+ {
+ \def\posname{above}
+ }
+ {
+ \IfStrEq{\angle}{270.0}
+ {
+ \def\posname{below}
+ }
+ {
+ \pgfmathparse{\angle<180}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \pgfmathparse{\angle<90}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{above right}
+ }
+ {
+ \def\posname{above left}
+ }
+ }
+ {
+ \pgfmathparse{\angle<270}
+ \IfStrEq{\pgfmathresult}{1.0}
+ {
+ \def\posname{below left}
+ }
+ {
+ \def\posname{below right}
+ }
+ }
+ }
+ }
+ }
+ }
+ \node[\posname,\cmdPAS@pyramreg@bordercolor] at (\Mx,\My) {$A_{\i}$};
+ }
+ \fi
+ \foreach \i in {1,...,\cote}
+ {
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos((360/\cotes)*\i+\cmdPAS@pyramreg@rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin((360/\cotes)*\i+\cmdPAS@pyramreg@rotat)}\let\My\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos((360/\cotes)*(\i-1)+\cmdPAS@pyramreg@rotat)}\let\Nx\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin((360/\cotes)*(\i-1)+\cmdPAS@pyramreg@rotat)}\let\Ny\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos((360/\cotes)*(\i+1)+\cmdPAS@pyramreg@rotat)}\let\Px\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin((360/\cotes)*(\i+1)+\cmdPAS@pyramreg@rotat)}\let\Py\pgfmathresult
+ \IfStrEq{\cotes}{3}{\def\ang{120}}{\def\ang{140}}
+ \pgfmathparse{(360/\cotes)*\i<181}
+ \IfStrEq{\pgfmathresult}{1.0}{\draw[dotted,\cmdPAS@pyramreg@bordercolor] (\Nx,\Ny) -- (\Mx,\My);}{\draw[\cmdPAS@pyramreg@bordercolor] (\Nx,\Ny) -- (\Mx,\My);}
+ \pgfmathparse{(360/\cotes)*\i+\cmdPAS@pyramreg@rotat<\ang}
+ \IfStrEq{\pgfmathresult}{1.0}{\draw[dotted,\cmdPAS@pyramreg@bordercolor] (\Mx,\My) -- (0,\cmdPAS@pyramreg@hauteur);}
+ {
+ \shade[draw=\cmdPAS@pyramreg@bordercolor,shading=ball, ball color=\cmdPAS@pyramreg@incolor,opacity=\cmdPAS@pyramreg@coefopaq] (0,\cmdPAS@pyramreg@hauteur) -- (\Mx,\My) -- (\Px,\Py) -- cycle;
+ \draw[\cmdPAS@pyramreg@bordercolor] (0,\cmdPAS@pyramreg@hauteur) -- (\Mx,\My) -- (\Px,\Py);
+ }
+ }
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos((360/\cotes)*\cote+\cmdPAS@pyramreg@rotat)}\let\Mx\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@incl*sin((360/\cotes)*\cote+\cmdPAS@pyramreg@rotat)}\let\My\pgfmathresult
+ \pgfmathparse{\cmdPAS@pyramreg@rayon*cos(\cmdPAS@pyramreg@rotat)}\let\Nx\pgfmathresult
+ \pgfmathparse{+\cmdPAS@pyramreg@incl*sin(\cmdPAS@pyramreg@rotat)}\let\Ny\pgfmathresult
+ \draw[\cmdPAS@pyramreg@bordercolor] (\Mx,\My) -- (\Nx,\Ny) -- (0,\cmdPAS@pyramreg@hauteur);
+ \ifPAS@pyramreg@axe
+ \draw[dotted,\cmdPAS@pyramreg@axecolor] (0,\cmdPAS@pyramreg@hauteur) -- (0,-\cmdPAS@pyramreg@incl);
+ \draw[\cmdPAS@pyramreg@axecolor] (0,\cmdPAS@pyramreg@hauteur) -- (0,\cmdPAS@pyramreg@hauteur+1);
+ \draw[\cmdPAS@pyramreg@axecolor] (0,-\cmdPAS@pyramreg@incl) -- (0,-\cmdPAS@pyramreg@incl-1);
+ \ifPAS@pyramreg@legende
+ \draw[<-,>=stealth',\cmdPAS@pyramreg@axecolor] (0,\cmdPAS@pyramreg@hauteur+.5) to [bend left=20] (-\cmdPAS@pyramreg@rayon/2,\cmdPAS@pyramreg@hauteur) node[left,\cmdPAS@pyramreg@axecolor] {\texttt{axe de rotation}};
+ \fi
+ \fi
+ \ifPAS@pyramreg@legende
+ \pgfmathparse{(\cmdPAS@pyramreg@hauteur-\Ny)/2}\let\y\pgfmathresult
+ \pgfmathparse{1-\cmdPAS@pyramreg@coefopaq}\let\op\pgfmathresult
+ \draw[<-,>=stealth,\cmdPAS@pyramreg@bordercolor] (\Nx/2,\y) to [bend left=30] (\cmdPAS@pyramreg@rayon+.5,\y+1) node[right,\cmdPAS@pyramreg@bordercolor] {\texttt{arête lat\'erale}};
+ \draw[<-,>=stealth,\cmdPAS@pyramreg@bordercolor] (0,\cmdPAS@pyramreg@hauteur) to [bend left=10] (\cmdPAS@pyramreg@rayon+.5,\cmdPAS@pyramreg@hauteur+0.5) node[right,\cmdPAS@pyramreg@bordercolor] {\texttt{sommet}};
+ \draw[gray,dotted] (0,\cmdPAS@pyramreg@hauteur) -- (\cmdPAS@pyramreg@rayon+4,\cmdPAS@pyramreg@hauteur);
+ \draw[gray,dotted] (\cmdPAS@pyramreg@rayon,0) -- (\cmdPAS@pyramreg@rayon+4,0);
+ \draw[gray,dotted,opacity=\op] (0,0) -- (\cmdPAS@pyramreg@rayon,0);
+ \draw[<->,>=stealth',\cmdPAS@pyramreg@bordercolor] (\cmdPAS@pyramreg@rayon+4,\cmdPAS@pyramreg@hauteur) -- (\cmdPAS@pyramreg@rayon+4,0) node[midway,right,\cmdPAS@pyramreg@bordercolor] {\texttt{hauteur}};
+ \draw[<-,>=stealth,\cmdPAS@pyramreg@incolor] (\Nx/2,.5) to [bend right=30] (\cmdPAS@pyramreg@rayon+.5,-1) node[right,\cmdPAS@pyramreg@incolor] {\texttt{face lat\'erale (triangulaire)}};
+ \fi
+}
+
+
+% \boule : dessine une boule
+% Synthaxe : \boule[border, (booléen : si oui, un bord est dessiné
+% bordercolor = ... (par défaut : noir),
+% name, (booléen : si oui, le centre est dessiné),
+% centre = nom du centre,
+% poscentre = position du nom du centre,
+% incolor = couleur de remplissage (par défaut : blanc),
+% coefopaq = coefficient d'opacité,
+% grandcercle (booléen : si oui, le grand cercle est dessiné),
+% legende (booléen),
+% scale = coefficient d'agrandissement]
+
+\define@boolkey[PAS] {boule} {border}[true]{}
+\define@cmdkey [PAS] {boule} {bordercolor}{}
+\define@boolkey[PAS] {boule} {name}[true]{}
+\define@cmdkey [PAS] {boule} {centre}{}
+\define@cmdkey [PAS] {boule} {poscentre}{}
+\define@cmdkey [PAS] {boule} {incolor}{}
+\define@cmdkey [PAS] {boule} {coefopaq}{}
+\define@boolkey[PAS] {boule} {grandcercle}[true]{}
+\define@boolkey[PAS] {boule} {legende}[true]{}
+\define@cmdkey [PAS] {boule} {scale}{}
+
+\presetkeys [PAS] {boule} { border = false,
+ bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ centre = O,
+ poscentre = below,
+ scale = 1,
+ grandcercle = false,
+ legende = false,
+ name = false}{}
+
+\newcommand*{\boule}[1][]{\pasBoule[#1]}
+
+\def\pasBoule[#1]{
+ \setkeys[PAS]{boule}{#1}
+ \begin{scope}[scale=\cmdPAS@boule@scale]
+ \ifPAS@boule@grandcercle
+ \draw[\cmdPAS@boule@bordercolor,dotted] (2,0) arc (0:180:2cm and .5cm);
+ \fi
+ \ifPAS@boule@name
+ \fill[\cmdPAS@boule@bordercolor] (0,0) circle (0.01cm) node[\cmdPAS@boule@poscentre,scale=\cmdPAS@boule@scale] {\cmdPAS@boule@centre};
+ \fi
+ \shade[shading=ball, ball color=\cmdPAS@boule@incolor,opacity=\cmdPAS@boule@coefopaq] (0,0) circle (2cm);
+ \ifPAS@boule@grandcercle
+ \draw[\cmdPAS@boule@bordercolor] (2,0) arc (0:-180:2cm and .5cm);
+ \fi
+ \ifPAS@boule@border
+ \draw[\cmdPAS@boule@bordercolor] (0,0) circle (2cm);
+ \fi
+ \ifPAS@boule@legende
+ \pgfmathparse{2*cos(-60)}\let\x\pgfmathresult
+ \pgfmathparse{.5*sin(-60)}\let\y\pgfmathresult
+ \draw[<-,>=stealth',\cmdPAS@boule@bordercolor] (\x,\y) to [bend right=30] (3,-0.4) node[right,\cmdPAS@boule@bordercolor] {\texttt{un grand cercle}};
+ \begin{scope}[rotate=50]
+ \draw[\cmdPAS@boule@bordercolor!50!black,dotted] (2,0) arc (0:180:2cm and .5cm);
+ \draw[\cmdPAS@boule@bordercolor!50!black] (2,0) arc (0:-180:2cm and .5cm);
+ \end{scope}
+ \pgfmathparse{1.5*cos(38)}\let\x\pgfmathresult
+ \pgfmathparse{1.5*sin(38)}\let\y\pgfmathresult
+ \draw[<-,>=stealth',\cmdPAS@boule@bordercolor!50!black] (\x,\y) to [bend right=30] (3,\y) node[right,\cmdPAS@boule@bordercolor!50!black] {\texttt{un autre grand cercle}};
+
+ \fi
+ \end{scope}
+}
+
+% \cone : dessine un cône de révolution
+% Synthaxe : \cone[bordercolor=couleur des bords, (black par défaut)
+% incolor = couleur de la face, (white par défaut)
+% coefopaq = coefficient d'opacité (0.5 par défaut),
+% rayon = rayon du disque de base, (1 cm par défaut),
+% hauteur = hauteur du sommet (3 cm par défaut),
+% sommet = nom du sommet, (par défaut : S)
+% posommet = position du nom du sommet (par défaut : above),
+% centre = nom du centre du disque de base, (par défaut : O),
+% incl = coefficient d'inclinaison du disque de base,
+% poscentre = position du centre du disque de base (par défaut : below),
+% scalecentre = coefficient d'agrendissement du point du centre du disque de base,
+% axe : booléen,
+% axecolor = couleur de l'axe de révolution,
+% legende : booléen,
+% name : booléen]
+
+\define@cmdkey [PAS] {cone} {bordercolor}{}
+\define@cmdkey [PAS] {cone} {incolor}{}
+\define@cmdkey [PAS] {cone} {hauteur}{}
+\define@cmdkey [PAS] {cone} {coefopaq}{}
+\define@cmdkey [PAS] {cone} {rayon}{}
+\define@cmdkey [PAS] {cone} {sommet}{}
+\define@cmdkey [PAS] {cone} {posommet}{}
+\define@cmdkey [PAS] {cone} {centre}{}
+\define@cmdkey [PAS] {cone} {poscentre}{}
+\define@cmdkey [PAS] {cone} {scalecentre}{}
+\define@cmdkey [PAS] {cone} {incl}{}
+\define@boolkey[PAS] {cone} {name}[true]{}
+\define@boolkey[PAS] {cone} {axe}[true]{}
+\define@boolkey[PAS] {cone} {legende}[true]{}
+\define@cmdkey [PAS] {cone} {axecolor}{}
+\presetkeys [PAS] {cone} {bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ rayon = 1,
+ hauteur = 3,
+ sommet = S,
+ posommet = above,
+ centre = O,
+ poscentre = below,
+ scalecentre = 1,
+ incl = 0.33,
+ name = false,
+ axe = false,
+ legende = false,
+ axecolor = red}{}
+
+\newcommand*{\cone}[1][]{\pasCone[#1]}
+
+\def\pasCone[#1]{
+ \setkeys[PAS]{cone}{#1}
+ \pgfmathparse{\cmdPAS@cone@incl*\cmdPAS@cone@rayon}\let\petitaxe\pgfmathresult
+ \pgfmathparse{2*\cmdPAS@cone@rayon}\let\grandaxe\pgfmathresult
+ \pgfmathparse{0.01*\cmdPAS@cone@scalecentre}\let\centre\pgfmathresult
+ \draw[dashed,\cmdPAS@cone@bordercolor] (0,0) arc (180:0:\cmdPAS@cone@rayon cm and \petitaxe cm);
+ \ifPAS@cone@axe
+ \draw[dotted,\cmdPAS@cone@axecolor] (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) -- (\cmdPAS@cone@rayon,-\petitaxe);
+ \draw[\cmdPAS@cone@axecolor] (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) -- (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur+1);
+ \draw[\cmdPAS@cone@axecolor] (\cmdPAS@cone@rayon,-\petitaxe) -- (\cmdPAS@cone@rayon,-\petitaxe-1);
+ \ifPAS@cone@legende
+ \draw[\cmdPAS@cone@axecolor,<-,>=stealth'] (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur+.5) to [bend left=30] (\cmdPAS@cone@rayon+1,\cmdPAS@cone@hauteur+1) node[right,\cmdPAS@cone@axecolor] {\texttt{axe de r\'evolution}};
+ \fi
+ \fi
+ \shade[draw=\cmdPAS@cone@bordercolor,shading=ball, ball color=\cmdPAS@cone@incolor,opacity=\cmdPAS@cone@coefopaq] (0,0) -- (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) -- (\grandaxe,0) arc (0:-180:\cmdPAS@cone@rayon cm and \petitaxe cm);
+ \ifPAS@cone@name
+ \node[\cmdPAS@cone@posommet,\cmdPAS@cone@bordercolor] at (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) {\cmdPAS@cone@sommet};
+ \node[\cmdPAS@cone@poscentre,\cmdPAS@cone@bordercolor] at (\cmdPAS@cone@rayon,0) {\cmdPAS@cone@centre};
+ \fill[\cmdPAS@cone@bordercolor] (\cmdPAS@cone@rayon,0) circle (\centre cm);
+ \fi
+ \ifPAS@cone@legende
+ \pgfmathparse{\petitaxe*sin(-40)}\let\y\pgfmathresult
+ \pgfmathparse{\cmdPAS@cone@rayon*(1+cos(-40))}\let\x\pgfmathresult
+ \draw[\cmdPAS@cone@bordercolor,thick] (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) -- (\x,\y);
+ \draw[<-,>=stealth',\cmdPAS@cone@bordercolor] (\x,\y) to [bend right=30] (2*\cmdPAS@cone@rayon+1,0) node[\cmdPAS@cone@bordercolor,right] {\texttt{g\'en\'eratrice}};
+ \draw[black,<-,>=stealth'] (\cmdPAS@cone@rayon,\cmdPAS@cone@hauteur) to [bend right=45] (\cmdPAS@cone@rayon/2,\cmdPAS@cone@hauteur) node[black,below left] {\texttt{sommet}};
+ \draw[black,<-,>=stealth'] (\cmdPAS@cone@rayon,0) to [bend right=30] (\cmdPAS@cone@rayon/2,-\petitaxe-.5) node[black,below] {\texttt{centre du disque de base}};
+ \fi
+}
+
+
+% \cylindre : dessine un cône de révolution
+% Synthaxe : \cylindre[bordercolor=couleur des bords, (black par défaut)
+% incolor = couleur de la face, (white par défaut)
+% coefopaq = coefficient d'opacité (0.5 par défaut),
+% rayon = rayon du disque de base, (1 cm par défaut),
+% hauteur = hauteur du sommet (3 cm par défaut),
+% incl = coefficient d'inclinaison du disque de base,
+% centrebas = nom du centre du disque de base, (par défaut : B),
+% centrehaut = nom du centre du disque de base, (par défaut : H),
+% poscentrebas = position du centre du disque de base (par défaut : below),
+% poscentrehaut = position du centre du disque du haut (par défaut : below),
+% scalecentre = coefficient d'agrendissement du point du centre du disque de base,
+% axe : booléen,
+% axecolor = couleur de l'axe de révolution,
+% legende : booléen,
+% name : booléen]
+
+\define@cmdkey [PAS] {cylindre} {bordercolor}{}
+\define@cmdkey [PAS] {cylindre} {incolor}{}
+\define@cmdkey [PAS] {cylindre} {hauteur}{}
+\define@cmdkey [PAS] {cylindre} {coefopaq}{}
+\define@cmdkey [PAS] {cylindre} {rayon}{}
+\define@cmdkey [PAS] {cylindre} {centrebas}{}
+\define@cmdkey [PAS] {cylindre} {poscentrebas}{}
+\define@cmdkey [PAS] {cylindre} {centrehaut}{}
+\define@cmdkey [PAS] {cylindre} {poscentrehaut}{}
+\define@cmdkey [PAS] {cylindre} {scalecentre}{}
+\define@cmdkey [PAS] {cylindre} {incl}{}
+\define@boolkey[PAS] {cylindre} {name}[true]{}
+\define@boolkey[PAS] {cylindre} {axe}[true]{}
+\define@boolkey[PAS] {cylindre} {legende}[true]{}
+\define@boolkey[PAS] {cylindre} {rectgener}[true]{}
+\define@cmdkey [PAS] {cylindre} {axecolor}{}
+\presetkeys [PAS] {cylindre} {bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ rayon = 1,
+ hauteur = 3,
+ centrebas = B,
+ poscentrebas = above,
+ centrehaut = H,
+ poscentrehaut = below,
+ scalecentre = 1,
+ incl = 0.33,
+ name = false,
+ axe = false,
+ legende = false,
+ rectgener = false,
+ axecolor = red}{}
+
+\newcommand*{\cylindre}[1][]{\pasCylindre[#1]}
+
+\def\pasCylindre[#1]{
+ \setkeys[PAS]{cylindre}{#1}
+ \pgfmathparse{\cmdPAS@cylindre@incl*\cmdPAS@cylindre@rayon}\let\petitaxe\pgfmathresult
+ \pgfmathparse{2*\cmdPAS@cylindre@rayon}\let\grandaxe\pgfmathresult
+ \pgfmathparse{0.01*\cmdPAS@cylindre@scalecentre}\let\centre\pgfmathresult
+ \ifPAS@cylindre@rectgener
+ \pgfmathparse{\petitaxe*sin(-40)}\let\y\pgfmathresult
+ \pgfmathparse{\cmdPAS@cylindre@rayon*(cos(-40))}\let\x\pgfmathresult
+ \filldraw[opacity=2*\cmdPAS@cylindre@coefopaq,fill=\cmdPAS@cylindre@incolor,draw=\cmdPAS@cylindre@bordercolor] (0,0) -- (\x,\y) -- (\x,\y+\cmdPAS@cylindre@hauteur) -- (0,\cmdPAS@cylindre@hauteur);
+ \ifPAS@cylindre@legende
+ \draw[\cmdPAS@cylindre@bordercolor,<-,>=stealth'] (.75*\x,.75*\y+.3) to [bend right=45] (1.3*\x,2*\y) node[right,\cmdPAS@cylindre@bordercolor] {\texttt{rectangle g\'en\'erateur}};
+ \fi
+ \fi
+ \draw[dashed,\cmdPAS@cylindre@bordercolor] (\cmdPAS@cylindre@rayon,0) arc (0:180:\cmdPAS@cylindre@rayon cm and \petitaxe cm);
+ \ifPAS@cylindre@axe
+ \draw[dotted,\cmdPAS@cylindre@axecolor] (0,\cmdPAS@cylindre@hauteur) -- (0,-\petitaxe);
+ \draw[\cmdPAS@cylindre@axecolor] (0,\cmdPAS@cylindre@hauteur) -- (0,\cmdPAS@cylindre@hauteur+1);
+ \draw[\cmdPAS@cylindre@axecolor] (0,-\petitaxe) -- (0,-\petitaxe-1);
+ \ifPAS@cylindre@legende
+ \draw[\cmdPAS@cylindre@axecolor,<-,>=stealth'] (0,\cmdPAS@cylindre@hauteur+.5) to [bend left=30] (1,\cmdPAS@cylindre@hauteur+1) node[right,\cmdPAS@cylindre@axecolor] {\texttt{axe de r\'evolution}};
+ \fi
+ \fi
+ \shade[draw=\cmdPAS@cylindre@bordercolor,shading=ball, ball color=\cmdPAS@cylindre@incolor,opacity=\cmdPAS@cylindre@coefopaq] (-\cmdPAS@cylindre@rayon,0) arc (180:360:\cmdPAS@cylindre@rayon cm and \petitaxe cm) -- (\cmdPAS@cylindre@rayon,\cmdPAS@cylindre@hauteur) arc (0:180:\cmdPAS@cylindre@rayon cm and \petitaxe cm) -- cycle;
+ \draw[draw=\cmdPAS@cylindre@bordercolor] (-\cmdPAS@cylindre@rayon,0) arc (180:360:\cmdPAS@cylindre@rayon cm and \petitaxe cm) -- (\cmdPAS@cylindre@rayon,\cmdPAS@cylindre@hauteur) arc (0:180:\cmdPAS@cylindre@rayon cm and \petitaxe cm) -- cycle;
+ \draw[draw=\cmdPAS@cylindre@bordercolor] (-\cmdPAS@cylindre@rayon,\cmdPAS@cylindre@hauteur) arc (180:360:\cmdPAS@cylindre@rayon cm and \petitaxe cm);
+ \ifPAS@cylindre@name
+ \node[\cmdPAS@cylindre@poscentrehaut,\cmdPAS@cylindre@bordercolor] at (0,\cmdPAS@cylindre@hauteur) {\cmdPAS@cylindre@centrehaut};
+ \node[\cmdPAS@cylindre@poscentrebas,\cmdPAS@cylindre@bordercolor] at (0,0) {\cmdPAS@cylindre@centrebas};
+ \fill[\cmdPAS@cylindre@bordercolor] (0,0) circle (\centre cm);
+ \fill[\cmdPAS@cylindre@bordercolor] (0,\cmdPAS@cylindre@hauteur) circle (\centre cm);
+ \fi
+ \ifPAS@cylindre@legende
+ \draw[dotted,\cmdPAS@cylindre@bordercolor] (\cmdPAS@cylindre@rayon,0) -- (\cmdPAS@cylindre@rayon+1,0);
+ \draw[dotted,\cmdPAS@cylindre@bordercolor] (\cmdPAS@cylindre@rayon,\cmdPAS@cylindre@hauteur) -- (\cmdPAS@cylindre@rayon+1,\cmdPAS@cylindre@hauteur);
+ \draw[<->,>=stealth',\cmdPAS@cylindre@bordercolor] (\cmdPAS@cylindre@rayon+1,0) -- (\cmdPAS@cylindre@rayon+1,\cmdPAS@cylindre@hauteur) node[midway,right,\cmdPAS@cylindre@bordercolor] {\texttt{hauteur}};
+ \draw[black,<-,>=stealth',\cmdPAS@cylindre@bordercolor] (-0.5*\cmdPAS@cylindre@rayon,0.5*\cmdPAS@cylindre@hauteur) to [bend right=45] (-1.2*\cmdPAS@cylindre@rayon,0.5*\cmdPAS@cylindre@hauteur+.3) node[\cmdPAS@cylindre@bordercolor,left] {\texttt{face lat\'erale}};
+ \fi
+}
+
+
+% \cube : dessine un cube
+% Synthaxe : \cube[bordercolor=couleur voulue pour les bords, - par défaut : black (noir)
+% incolor = couleur d'intérieur, - par défaut : white (blanc)
+% angle = angle de la perspective, - par défaut : 45°
+% coefopaq = coefficient d'opacité - par défaut : 0.5,
+% name (booléen : si mentionné, noms des sommets apparents,
+% prof = profondeur pour un parallélépipède rectangle,
+% scale = agrandissement,
+% legende : booléen pour mettre les légendes ou pas]
+
+\define@cmdkey [PAS] {cube} {bordercolor}{}
+\define@cmdkey [PAS] {cube} {incolor}{}
+\define@cmdkey [PAS] {cube} {angle}{}
+\define@cmdkey [PAS] {cube} {coefopaq}{}
+\define@cmdkey [PAS] {cube} {scale}{}
+\define@cmdkey [PAS] {cube} {prof}{}
+\define@boolkey[PAS] {cube} {name}[true]{}
+\define@boolkey[PAS] {cube} {legende}[true]{}
+\presetkeys [PAS] {cube} {angle = 45,
+ bordercolor = black,
+ incolor = white,
+ coefopaq = 0.5,
+ prof = 1,
+ scale = 1,
+ legende = false,
+ name = false}{}
+
+\newcommand*{\cube}[1][]{\pasCube[#1]}
+
+\def\pasCube[#1]{
+ \setkeys[PAS]{cube}{#1}
+ \begin{scope}[scale=\cmdPAS@cube@scale]
+ \shade[draw=\cmdPAS@cube@bordercolor,shading=ball, ball color=\cmdPAS@cube@incolor,opacity=\cmdPAS@cube@coefopaq] (0,0) -- (1,0) -- (1,1) -- (0,1) -- cycle;
+ \pgfmathparse{\cmdPAS@cube@prof*cos(\cmdPAS@cube@angle)/2}\let\x\pgfmathresult
+ \pgfmathparse{\cmdPAS@cube@prof*sin(\cmdPAS@cube@angle)/2}\let\y\pgfmathresult
+ \pgfmathparse{1+\x}\let\xx\pgfmathresult
+ \pgfmathparse{1+\y}\let\yy\pgfmathresult
+ \draw[dotted,\cmdPAS@cube@bordercolor] (0,0) -- (\x,\y) -- (\xx,\y);
+ \draw[dotted,\cmdPAS@cube@bordercolor] (\x,\y) -- (\x,\yy);
+ \shade[draw=\cmdPAS@cube@bordercolor,shading=ball, ball color=\cmdPAS@cube@incolor,opacity=\cmdPAS@cube@coefopaq] (0,1) -- (\x,\yy) -- (\xx,\yy) -- (1,1) -- cycle;
+ \filldraw[draw=\cmdPAS@cube@bordercolor,shading=ball, ball color=\cmdPAS@cube@incolor,opacity=\cmdPAS@cube@coefopaq] (1,0) -- (1,1) -- (\xx,\yy) -- (\xx,\y) -- cycle;
+ \ifPAS@cube@name
+ \node[below left,\cmdPAS@cube@bordercolor] at (0,0) {A};
+ \node[below right,\cmdPAS@cube@bordercolor] at (1,0) {B};
+ \node[below right,\cmdPAS@cube@bordercolor] at (\xx,\y) {C};
+ \node[below,\cmdPAS@cube@bordercolor] at (\x,\y) {D};
+ \node[left,\cmdPAS@cube@bordercolor] at (0,1) {E};
+ \node[below right,\cmdPAS@cube@bordercolor] at (1,1) {F};
+ \node[right,\cmdPAS@cube@bordercolor] at (\xx,\yy) {G};
+ \node[above,\cmdPAS@cube@bordercolor] at (\x,\yy) {H};
+ \fi
+ \ifPAS@cube@legende
+ \pgfmathparse{(\xx-1)/2+1}\let\xxx\pgfmathresult
+ \pgfmathparse{(\yy-1)/2+1}\let\yyy\pgfmathresult
+ \draw[<-,>=stealth',\cmdPAS@cube@bordercolor] (.5,0) to [bend right=30] (2,0) node[right,\cmdPAS@cube@bordercolor] {\texttt{arête}};
+ \IfStrEq{\cmdPAS@cube@incolor}{white}{\def\c{black}}{\def\c{\cmdPAS@cube@incolor}}
+ \draw[<-,>=stealth',\c] (\xxx,.5) to [bend left=30] ($(\xxx,.5)+(1,0.25)$) node[right,\c] {\texttt{face}};
+ \fill[\cmdPAS@cube@bordercolor] (1,1) circle (0.01cm);
+ \draw[<-,>=stealth',\cmdPAS@cube@bordercolor] (1,1) to [bend left=45] ($(\xx,\yy)+(0.25,0.25)$) node[right,\cmdPAS@cube@bordercolor] {\texttt{sommet}};
+ \fi
+ \end{scope}
+}
diff --git a/Master/texmf-dist/doc/latex/pas-cours/macro-styles.tex b/Master/texmf-dist/doc/latex/pas-cours/macro-styles.tex
new file mode 100644
index 00000000000..30c7243f4ff
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/pas-cours/macro-styles.tex
@@ -0,0 +1,444 @@
+% Fichier comprenant les macros de styles
+
+% \env : environnement de couleurs
+% Synthaxe : \env[style=nom de l'environnement,pluriel (option)]{texte}
+
+\define@cmdkey [PAS] {env} {style}{}
+\define@cmdkey [PAS] {env} {name}{}
+\define@cmdkey [PAS] {env} {color}{}
+\define@cmdkey [PAS] {env} {title}{}
+\define@cmdkey [PAS] {env} {symb}{}
+\define@boolkey[PAS] {env} {toc}[true]{}
+\define@boolkey[PAS] {env} {notoc}[true]{}
+\define@boolkey[PAS] {env} {pluriel}[true]{}
+\define@boolkey[PAS] {env} {endsymb}[true]{}
+\define@boolkey[PAS] {env} {degrade}[true]{}
+\define@boolkey[PAS] {env} {notitle}[true]{}
+\define@boolkey[PAS] {env} {notitlebreak}[true]{}
+\presetkeys [PAS] {env} {style= , name= , title= ,pluriel = false, color=, symb = $\blacksquare$, degrade = false, toc=false, notoc=false, notitle=false, notitlebreak=false, endsymb=false}{}
+
+\newcommand*{\env}[1][]{\pasEnv[#1]}
+
+\long\def\pasEnv[#1]#2{
+ \setkeys[PAS]{env}{#1}
+ \if@everytoc
+ \ifx\cmdPAS@env@name\@empty
+ \else
+ \ifPAS@env@notoc
+ \else
+ \phantomsection
+ \addcontentsline{toc}{section}{\cmdPAS@env@name}
+ \fi
+ \fi
+ \else
+ \ifPAS@env@toc
+ \phantomsection
+ \addcontentsline{toc}{section}{\cmdPAS@env@name}
+ \fi
+ \fi
+ %
+ \IfStrEq{\cmdPAS@env@style}{prop}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Propri\'et\'es}
+ \else
+ \def\texte{Propri\'et\'e}
+ \fi
+ \def\couleur{red}%
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{demo}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{D\'emonstrations}
+ \else
+ \def\texte{D\'emonstration}
+ \fi
+ \def\couleur{black}%
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{rem}{\ifPAS@env@pluriel\def\texte{Remarques}\else\def\texte{Remarque}\fi\def\couleur{rem}}{}
+ \IfStrEq{\cmdPAS@env@style}{defi}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{D\'efinitions}
+ \else
+ \def\texte{D\'efinition}
+ \fi
+ \def\couleur{defi}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{thm}{\ifPAS@env@pluriel\def\texte{Th\'eor\`emes}\else\def\texte{Th\'eor\`emes}\fi\def\couleur{thm}}{}
+ \IfStrEq{\cmdPAS@env@style}{ex}{\ifPAS@env@pluriel\def\texte{Exemples}\else\def\texte{Exemple}\fi\def\couleur{ex}}{}
+ \IfStrEq{\cmdPAS@env@style}{nota}{\ifPAS@env@pluriel\def\texte{Notations}\else\def\texte{Notation}\fi\def\couleur{nota}}{}
+ \IfStrEq{\cmdPAS@env@style}{act}{\ifPAS@env@pluriel\def\texte{Activit\'es}\else\def\texte{Activit\'e}\fi\def\couleur{orange}}{}
+ \IfStrEq{\cmdPAS@env@style}{meth}{\ifPAS@env@pluriel\def\texte{M\'ethodes}\else\def\texte{M\'ethode}\fi\def\couleur{brown}}{}
+ \IfStrEq{\cmdPAS@env@title}{}{}{\def\texte{\cmdPAS@env@title}}
+ \IfStrEq{\cmdPAS@env@color}{}{}{\def\couleur{\cmdPAS@env@color}}
+ \ifPAS@env@degrade
+ \tikzstyle{noeud} = [rectangle,inner sep=10pt,fill=\couleur!10,path fading=east]
+ \else
+ \tikzstyle{noeud} = [rectangle,inner sep=10pt,fill=\couleur!10]
+ \fi
+ \itemclass{\couleur}
+ \noindent
+ \begin{tikzpicture}
+ \node [noeud] (box)
+ {%
+ \begin{minipage}{\textwidth}
+ \itshape #2
+ \ifPAS@env@endsymb
+ \hfill \cmdPAS@env@symb
+ \fi
+ \end{minipage}
+ };
+ \ifPAS@env@notitle\else
+ \node[text=white,fill=\couleur,rectangle, shading=ball, ball color=\couleur, above right] (title) at ($(box.north west)+(-0.03,0)$)
+ {\begin{ant}\textbf{\texte}\end{ant}};
+ \fi
+ \draw[color=\couleur!50!black,very thick] (box.north west)--(box.south west)--(box.south east);
+ \node[left,color=\couleur] at (box.north east) {\emph{\cmdPAS@env@name}};
+ \end{tikzpicture}
+ \vspace{0.5cm}
+}
+
+% Environnement "pasbox"
+
+\newsavebox{\pas@box}
+%
+\newcounter{suite@box}
+\newenvironment*{pasbox}[1][]
+{%
+ \setcounter{suite@box}{0}
+ \setkeys[PAS]{env}{#1}
+ \if@everytoc
+ \ifx\cmdPAS@env@name\@empty\else
+ \ifPAS@env@notoc\else
+ \phantomsection
+ \addcontentsline{toc}{section}{\cmdPAS@env@name}
+ \fi
+ \fi
+ \else
+ \ifPAS@env@toc
+ \phantomsection
+ \addcontentsline{toc}{section}{\cmdPAS@env@name}
+ \fi
+ \fi
+ \IfStrEq{\cmdPAS@env@style}{thm}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Th\'eor\`emes}
+ \else
+ \def\texte{Th\'eor\`eme}
+ \fi
+ \def\couleur{thm}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{demo}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{D\'emonstrations}
+ \else
+ \def\texte{D\'emonstration}
+ \fi
+ \def\couleur{black}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{prop}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Propri\'et\'es}
+ \else
+ \def\texte{Propri\'et\'e}
+ \fi
+ \def\couleur{red}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{rem}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Remarques}
+ \else
+ \def\texte{Remarque}
+ \fi
+ \def\couleur{rem}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{defi}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{D\'efinitions}
+ \else
+ \def\texte{D\'efinition}
+ \fi
+ \def\couleur{defi}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{ex}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Exemples}
+ \else
+ \def\texte{Exemple}
+ \fi
+ \def\couleur{ex}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{nota}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Notations}
+ \else
+ \def\texte{Notation}
+ \fi
+ \def\couleur{nota}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{act}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{Activit\'es}
+ \else
+ \def\texte{Activit\'e}
+ \fi
+ \def\couleur{orange}
+ }{}
+ \IfStrEq{\cmdPAS@env@style}{meth}
+ {%
+ \ifPAS@env@pluriel
+ \def\texte{M\'ethodes}
+ \else
+ \def\texte{M\'ethode}
+ \fi
+ \def\couleur{brown}
+ }{}
+ \IfStrEq{\cmdPAS@env@title}{}{}{\def\texte{\cmdPAS@env@title}}
+ \IfStrEq{\cmdPAS@env@color}{}{}{\def\couleur{\cmdPAS@env@color}}
+ \ifPAS@env@degrade
+ \tikzstyle{noeud} = [rectangle,inner sep=10pt,fill=\couleur!10,path fading=east]
+ \else
+ \tikzstyle{noeud} = [rectangle,inner sep=10pt,fill=\couleur!10]
+ \fi
+ \itemclass{\couleur}
+ \begin{lrbox}{\pas@box}
+ \begin{minipage}{0.93\linewidth}
+}
+{
+ \ifPAS@env@endsymb
+ \hfill \cmdPAS@env@symb
+ \fi
+ \end{minipage}
+ \end{lrbox}
+ \begin{tikzpicture}
+ \node [noeud] (box)
+ {%
+ \usebox{\pas@box}
+ };
+ \ifnum\thesuite@box=1
+ \edef\texte{\texte~(suite)}
+ \ifPAS@env@notitlebreak\else\ifPAS@env@notitle\else
+ \node[text=white,fill=\couleur,rectangle, shading=ball, ball color=\couleur, above right] (title) at ($(box.north west)+(-0.03,0)$)
+ {\begin{ant}\textbf{\texte}\end{ant}};
+ \fi\fi
+ \else
+ \ifPAS@env@notitle\else
+ \node[text=white,fill=\couleur,rectangle, shading=ball, ball color=\couleur, above right] (title) at ($(box.north west)+(-0.03,0)$)
+ {\begin{ant}\textbf{\texte}\end{ant}};
+ \fi
+ \fi
+ \draw[color=\couleur!50!black,very thick] (box.north west)--(box.south west)--(box.south east);
+ \node[left,color=\couleur] at (box.north east) {\emph{\cmdPAS@env@name}};
+ \end{tikzpicture}
+ \vspace{0.5cm}
+}
+
+% \breakbox
+
+\newcommand*{\breakbox}
+{%
+ \end{minipage}
+ \end{lrbox}
+ \stepcounter{suite@box}
+ \begin{tikzpicture}
+ \node [noeud] (box)
+ {%
+ \usebox{\pas@box}
+ };
+ \ifPAS@env@notitle\else
+ \node[text=white,fill=\couleur,rectangle, shading=ball, ball color=\couleur, above right] (title) at ($(box.north west)+(-0.03,0)$)
+ {\begin{ant}\textbf{\texte}\end{ant}};
+ \fi
+ \draw[color=\couleur!50!black,very thick] (box.north west)--(box.south west)--(box.south east);
+ \node[left,color=\couleur] at (box.north east) {\emph{\cmdPAS@env@name}};
+ \node[rounded corners=3pt,draw=\couleur!50!black,very thick,left,fill=white] at ($(box.south east)+(-0.5,0)$) {...};
+ \end{tikzpicture}\par
+ \begin{lrbox}{\pas@box}
+ \begin{minipage}{0.93\linewidth}
+}
+
+%%%%%%%%%% définition du titre
+
+\define@cmdkey [PAS] {chap} {num}{}
+\define@cmdkey [PAS] {chap} {color}{}
+\define@cmdkey [PAS] {chap} {pos}{}
+\define@boolkey[PAS] {chap} {noclearpage}[true]{}
+\presetkeys [PAS] {chap} {num = ,
+ color = red,
+ pos = right,
+ noclearpage = false}{}
+
+\newcommand*{\chap}[1][]{\pasChap[#1]}
+
+\def\pasChap[#1]#2#3{
+ \setkeys[PAS]{chap}{#1}
+ \ifPAS@chap@noclearpage\else \clearpage \fi
+ \IfStrEq{\cmdPAS@chap@pos}{right}
+ { \tikzstyle{pastitrepos} = [text=\cmdPAS@chap@color,rectangle,left]
+ \tikzstyle{pastrait} = [right color=\cmdPAS@chap@color, left color=white,thick]
+ \tikzstyle{passstitre} = [\cmdPAS@chap@color,left,scale=0.5]
+ \edef\PASx{-\textwidth}
+ \def\PASpos{box.north west}
+ \def\PAStrait{box.west}
+ \def\PASsstitre{box.south west}
+ \def\PAStitrealign{flushright}
+ }
+ { \tikzstyle{pastitrepos} = [text=\cmdPAS@chap@color,rectangle,right]
+ \tikzstyle{pastrait} = [left color=\cmdPAS@chap@color, right color=white,thick]
+ \tikzstyle{passstitre} = [\cmdPAS@chap@color,right,scale=0.5]
+ \edef\PASx{\textwidth}
+ \def\PASpos{box.north east}
+ \def\PAStrait{box.east}
+ \def\PASsstitre{box.south east}
+ \def\PAStitrealign{flushleft}
+ }
+ \noindent
+ \begin{tikzpicture}
+ \node[fill=\cmdPAS@chap@color, shading=ball, ball color=\cmdPAS@chap@color, very thick,circle, inner xsep=5pt, inner ysep=2pt] (box) at (0,0) {\begin{Large}\textcolor{white}{\begin{ant} \textbf{\cmdPAS@chap@num} \end{ant}}\end{Large}};
+ \node[pastitrepos] at (\PASpos) {\begin{minipage}{\textwidth}\begin{\PAStitrealign} \begin{Large}\textcolor{\cmdPAS@chap@color}{ \begin{ant} #2 \end{ant}}\end{Large} \end{\PAStitrealign} \end{minipage}};
+ \shade[pastrait] (\PAStrait) rectangle +(\PASx,-0.01);
+ \node[passstitre] at (\PASsstitre) {\begin{ant}#3\end{ant}};
+ \end{tikzpicture}
+}
+
+%%%%%%%%%%%% Définition d'un mot
+
+\newcommand{\definmot}[1]{\texttt{\textbf{\textcolor{defi}{#1}}}}
+
+% Itemclass
+
+\newcommand{\itemclass}[1] % #1 = couleur
+{
+ \setlist[itemize,1]{label={\color{#1!50!black}\textbullet}}
+ \setlist[itemize,2]{label={\color{#1!50!black}$\rightarrow$}}
+ \setlist[enumerate,1]
+ {%
+ label=\fcolorbox{#1!50!black}
+ {#1!50!black}
+ {\color{#1!20}\normalsize\bfseries\arabic*}
+ }
+ \setlist[enumerate,2]{label=\textcolor{#1!50!black}{\normalsize\bfseries\alph*.}}
+}
+\itemclass{black}{}
+
+%%%%%%%%%%%% Pour le sommaire
+
+\renewcommand*\l@section{\color{blue!50!black}\def\@linkcolor{blue!50!black}\@dottedtocline{1}{1em}{2.3em}}
+\def\contentsline#1#2#3#4{%
+ \ifx\\#4\\%
+ \csname l@#1\endcsname{#2}{#3}%
+ \else
+ \csname l@#1\endcsname{\hyper@linkstart{link}{#4}{#2}\hyper@linkend}{%
+ \hyper@linkstart{link}{#4}{#3}\hyper@linkend
+ }%
+ \fi
+}
+\renewcommand{\contentsname}{\color{purple}\titreFONT\huge Sommaire}
+
+%%%%%%%%%%% FONTES
+
+\def\titreFONT{\fontfamily{phv}\fontseries{bx}\selectfont} % pb6
+\def\tocFONT{\fontfamily{phv}\fontseries{m}\selectfont}
+
+%%%%%%%%%%% PREREQUIS
+
+\newsavebox{\prerequisBox}
+\newenvironment{prerequis}
+{%
+ \begin{lrbox}{\prerequisBox}
+ \begin{minipage}{0.9\linewidth}
+ \begin{itemize}[leftmargin=1em,label={\color{purple}$\bullet$}]
+ \tocFONT
+}
+{%
+ \end{itemize}
+ \end{minipage}
+ \end{lrbox}
+ \begin{tikzpicture}
+ \node (titre) {\includegraphics[scale=0.25]{prerequis.png}};
+ \node[below right,text=purple] at (titre.north east) {\titreFONT\huge Pr\'erequis};
+ \node[below right] (contenu) at (titre.south) {\usebox{\prerequisBox}};
+ \draw[purple,very thick] (contenu.north west) -- (contenu.south west);
+ \end{tikzpicture}
+}
+
+%%%%%%%%%%%%%%% A RETENIR
+\newsavebox{\imageBox}
+\newlength{\largeurimageBox}
+\newsavebox{\aretenirBox}
+\newenvironment{aretenir}[1][1]
+{%
+\def\sc{#1}
+\begin{lrbox}{\imageBox}
+\includegraphics[scale=\sc]{coeur.png}
+\end{lrbox}
+\settowidth{\largeurimageBox}{\usebox{\imageBox}}%
+\begin{lrbox}{\aretenirBox}
+\begin{minipage}{\dimexpr\linewidth-\largeurimageBox-1em}
+}
+{%
+\end{minipage}
+\end{lrbox}
+\begin{tikzpicture}
+\node[below right,rounded corners,very thick,draw=red!60!black] (box) {\usebox{\aretenirBox}};
+\node[below left] at ($(box.north west)+(0,0.8em)$) {\includegraphics[scale=\sc]{coeur.png}};
+\end{tikzpicture}
+\vspace*{2em}
+}
+
+%%%%%%%%%%%%%%%%%% ATTENTION
+
+\newsavebox{\attentionBox}
+
+\newenvironment{attention}[1][1]
+{%
+\def\sc{#1}
+\begin{lrbox}{\imageBox}
+\includegraphics[scale=\sc]{attention.png}
+\end{lrbox}
+\settowidth{\largeurimageBox}{\usebox{\imageBox}}%
+\begin{lrbox}{\attentionBox}
+\begin{minipage}{\dimexpr\linewidth-\largeurimageBox-1em}
+}
+{%
+\end{minipage}
+\end{lrbox}
+\begin{tikzpicture}
+\node[below right,rounded corners,very thick,draw=red!60!black] (box) {\usebox{\attentionBox}};
+\node[below left] at ($(box.north west)+(0,0.8em)$) {\includegraphics[scale=\sc]{attention.png}};
+\end{tikzpicture}
+\vspace*{2em}
+}
+
+%%%%%%%%%%%%%%%% BONUS
+
+\newcounter{bonus}
+\newcommand*{\bonus}{\@ifstar{\bonus@star}{\bonus@nostar}}
+\newcommand*\bonus@star[1]{%
+\newpage
+\begingroup
+\fontfamily{phv}\fontseries{bx}\fontsize{16}{14}\selectfont
+\color{blue!40!black}Complément \thebonus : #1
+\endgroup
+\vspace*{1em}
+}
+\newcommand*\bonus@nostar[1]{%
+\stepcounter{bonus}
+\newpage
+\phantomsection
+\addcontentsline{toc}{section}{Complément \thebonus : #1}
+\begingroup
+\fontfamily{phv}\fontseries{bx}\fontsize{16}{14}\selectfont
+\color{blue!40!black}Complément \thebonus : #1
+\endgroup
+\vspace*{1em}
+}
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