diff --git a/docs/rapports/rapport-initial-delabre/figures/go-ex-1.tex b/docs/rapports/rapport-initial-delabre/figures/go-ex-1.tex
new file mode 100644
index 0000000..038e268
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/go-ex-1.tex
@@ -0,0 +1,22 @@
+\begin{tikzpicture}[scale=.5]
+    \begin{scope}
+        \draw (0 ,0) grid (6, 6);
+
+        \fillstone{1}{2}{matblack}
+        \fillstone{1}{3}{matblack}
+        \fillstone{2}{4}{matblack}
+        \fillstone{3}{3}{matblack}
+        \fillstone{4}{3}{matblack}
+        \node[fill=white, anchor=center] at (5,2) {(1)};
+        \fillstone{4}{1}{matblack}
+        \fillstone{3}{1}{matblack}
+        \fillstone{2}{1}{matblack}
+
+        \fillstone{2}{2}{matgray}
+        \fillstone{2}{3}{matgray}
+        \fillstone{3}{2}{matgray}
+        \fillstone{4}{2}{matgray}
+        \fillstone{3}{4}{matgray}
+        \fillstone{4}{4}{matgray}
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/go-ex-2.tex b/docs/rapports/rapport-initial-delabre/figures/go-ex-2.tex
new file mode 100644
index 0000000..c7b077d
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/go-ex-2.tex
@@ -0,0 +1,20 @@
+\begin{tikzpicture}[scale=.5]
+    \begin{scope}
+        \draw (0 ,0) grid (6, 6);
+
+        \node[fill=white, anchor=center] at (1,5) {(2)};
+        \fillstone{0}{3}{matblack}
+        \fillstone{1}{3}{matblack}
+        \fillstone{2}{4}{matblack}
+        \fillstone{2}{5}{matblack}
+        \fillstone{3}{6}{matblack}
+
+        \node[fill=white, anchor=center] at (3.5,2) {(1)};
+        \fillstone{2}{2}{matgray}
+        \fillstone{5}{2}{matgray}
+        \fillstone{3}{1}{matgray}
+        \fillstone{4}{1}{matgray}
+        \fillstone{3}{3}{matgray}
+        \fillstone{4}{3}{matgray}
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/go-gantt.tex b/docs/rapports/rapport-initial-delabre/figures/go-gantt.tex
new file mode 100644
index 0000000..a1fe73e
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/go-gantt.tex
@@ -0,0 +1,12 @@
+\begin{gantt}{7}{8}
+    \begin{ganttitle}
+        \numtitle{5}{5}{40}{1}
+    \end{ganttitle}
+
+    \ganttbar{Base}{0}{1}
+    \ganttbar{Algorithme placement}{1}{4}
+    \ganttbar{Algorithme décompte}{1}{4}
+    \ganttbar{Fenêtrage}{1}{2}
+    \ganttbar{Mise en réseau}{4}{3}
+    \ganttbar{Rapport}{0}{8}
+\end{gantt}
diff --git a/docs/rapports/rapport-initial-delabre/figures/life-ex-1.tex b/docs/rapports/rapport-initial-delabre/figures/life-ex-1.tex
new file mode 100644
index 0000000..0b2c12c
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/life-ex-1.tex
@@ -0,0 +1,29 @@
+\begin{tikzpicture}[scale=.5]
+    \begin{scope}
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{1}{2}{dying}
+        \fillcell{2}{1}{alive}
+        \fillcell{3}{1}{dying}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=0$};
+    \end{scope}
+
+    \begin{scope}[xshift=6cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{2}{1}{dying}
+        \fillcell{2}{2}{stillborn}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=1$};
+    \end{scope}
+
+    \begin{scope}[xshift=12cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \node[anchor=center] at (2.5,-0.5) {$n=2$};
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/life-ex-2.tex b/docs/rapports/rapport-initial-delabre/figures/life-ex-2.tex
new file mode 100644
index 0000000..f7164fc
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/life-ex-2.tex
@@ -0,0 +1,23 @@
+\begin{tikzpicture}[scale=.5]
+    \begin{scope}
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{2}{1}{stillborn}
+        \fillcell{2}{2}{alive}
+        \fillcell{2}{3}{stillborn}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=2k$};
+    \end{scope}
+
+    \begin{scope}[xshift=6cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{1}{2}{stillborn}
+        \fillcell{2}{2}{alive}
+        \fillcell{3}{2}{stillborn}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=2k+1$};
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/life-ex-3.tex b/docs/rapports/rapport-initial-delabre/figures/life-ex-3.tex
new file mode 100644
index 0000000..037e098
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/life-ex-3.tex
@@ -0,0 +1,57 @@
+\begin{tikzpicture}[scale=.5]
+    \begin{scope}
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{2}{2}{alive}
+        \fillcell{3}{2}{alive}
+        \fillcell{4}{2}{dying}
+        \fillcell{2}{3}{alive}
+        \fillcell{2}{4}{dying}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=0$};
+    \end{scope}
+
+    \begin{scope}[xshift=6cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{2}{2}{dying}
+        \fillcell{3}{2}{alive}
+        \fillcell{2}{3}{alive}
+        \fillcell{1}{3}{nascent}
+        \fillcell{3}{1}{nascent}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=1$};
+    \end{scope}
+
+    \begin{scope}[xshift=12cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{3}{2}{dying}
+        \fillcell{2}{3}{dying}
+        \fillcell{1}{3}{alive}
+        \fillcell{3}{1}{alive}
+        \fillcell{1}{2}{nascent}
+        \fillcell{2}{1}{nascent}
+        \fillcell{3}{3}{nascent}
+
+        \node[anchor=center] at (2.5,-0.5) {$n=2$};
+    \end{scope}
+
+    \begin{scope}[xshift=18cm]
+        \draw (0,0) grid (5, 5);
+        \draw[thick, scale=5] (0, 0) grid (1, 1);
+
+        \fillcell{1}{3}{alive}
+        \fillcell{3}{1}{alive}
+        \fillcell{1}{2}{alive}
+        \fillcell{2}{1}{alive}
+        \fillcell{3}{3}{alive}
+        \fillcell{4}{2}{nascent}
+        \fillcell{2}{4}{nascent}
+
+        \node[anchor=center] at (2.5,-0.5) {$n\geq3$};
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/life-gantt.tex b/docs/rapports/rapport-initial-delabre/figures/life-gantt.tex
new file mode 100644
index 0000000..9002c3d
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/life-gantt.tex
@@ -0,0 +1,10 @@
+\begin{gantt}{5}{8}
+    \begin{ganttitle}
+        \numtitle{5}{5}{40}{1}
+    \end{ganttitle}
+
+    \ganttbar{Base}{0}{2}
+    \ganttbar{Fenêtrage}{2}{2}
+    \ganttbar{Hashlife}{4}{4}
+    \ganttbar{Rapport}{0}{8}
+\end{gantt}
diff --git a/docs/rapports/rapport-initial-delabre/figures/ptf-gantt.tex b/docs/rapports/rapport-initial-delabre/figures/ptf-gantt.tex
new file mode 100644
index 0000000..e7bc899
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/ptf-gantt.tex
@@ -0,0 +1,20 @@
+\begin{gantt}{12}{8}
+    \begin{ganttitle}
+        \numtitle{5}{5}{40}{1}
+    \end{ganttitle}
+
+    \ganttbar{Moteur physique}{0}{3}
+    \ganttbar{Gestion du dessin}{0}{3}
+    \ganttbar{Tests du moteur}{1}{2}
+
+    \ganttbar{Niveau de test}{1}{5}
+    \ganttbar{Conception des niveaux}{2}{6}
+    \ganttbar{Tests des niveaux}{3}{5}
+
+    \ganttbar{Musique et bruitages}{1}{4}
+    \ganttbar{Univers graphique}{1}{4}
+    \ganttbar{Interface du jeu}{5}{2}
+
+    \ganttbar{Tests finaux}{7}{1}
+    \ganttbar{Rapport}{0}{8}
+\end{gantt}
diff --git a/docs/rapports/rapport-initial-delabre/figures/ptf-layering-exploded.tex b/docs/rapports/rapport-initial-delabre/figures/ptf-layering-exploded.tex
new file mode 100644
index 0000000..40eec7e
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/ptf-layering-exploded.tex
@@ -0,0 +1,17 @@
+\begin{tikzpicture}[x={(-1cm,-0.5cm)}, y={(1cm,-0.5cm)}, z={(0cm,1cm)}]
+    \begin{scope}[canvas is yz plane at x=0]
+        \filldraw[fill=matblue, thick, fill opacity=0.8, draw=black] (0,0) rectangle (5,3);
+    \end{scope}
+
+    \begin{scope}[canvas is yz plane at x=1.5]
+        \filldraw[fill=white, thick, fill opacity=0.8, draw=black] (0,0) rectangle (5,3);
+        \filldraw[thick, fill=matbrown] (0,0) rectangle (5,1);
+
+        \draw[thin] (0,0) grid (5,3);
+    \end{scope}
+
+    \begin{scope}[canvas is yz plane at x=3]
+        \filldraw[fill=white, thick, fill opacity=0.8, draw=black] (0,0) rectangle (5,3);
+        \filldraw[thick, fill=matgray] (2.5,1.25) circle (.25);
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/ptf-layering-merged.tex b/docs/rapports/rapport-initial-delabre/figures/ptf-layering-merged.tex
new file mode 100644
index 0000000..042054e
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/ptf-layering-merged.tex
@@ -0,0 +1,14 @@
+\begin{tikzpicture}
+    \begin{scope}
+        \filldraw[fill=matblue, thick, fill opacity=0.8, draw=black] (0,0) rectangle (5,3);
+    \end{scope}
+
+    \begin{scope}
+        \filldraw[thick, fill=matbrown] (0,0) rectangle (5,1);
+        \draw[thin] (0,0) grid (5,3);
+    \end{scope}
+
+    \begin{scope}
+        \filldraw[thick, fill=matgray] (2.5,1.25) circle (.25);
+    \end{scope}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/figures/ptf-uml-diagram.tex b/docs/rapports/rapport-initial-delabre/figures/ptf-uml-diagram.tex
new file mode 100644
index 0000000..2ce207b
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/figures/ptf-uml-diagram.tex
@@ -0,0 +1,30 @@
+\begin{tikzpicture}
+    \umlclass[x=-3]{Ball}{
+        position : vecteur\\
+        velocity : vecteur\\
+        mass : flottant\\
+        charge : entier signé
+    }{
+        draw() : vide\\
+        update(forces : vecteur, delta : flottant) : vide
+    }
+
+    \umlclass[x=3]{Block}{
+        position : vecteur\\
+        charge : entier signé
+    }{
+        draw() : vide
+    }
+
+    \umlclass[y=-4]{Engine}{
+        balls : tableau de \texttt{Ball}\\
+        blocks : tableau de tableaux de \texttt{Block}\\
+        clock : horloge
+    }{
+        draw() : vide\\
+        update(delta : flottant) : vide
+    }
+
+    \umldep{Engine}{Ball}
+    \umldep{Engine}{Block}
+\end{tikzpicture}
diff --git a/docs/rapports/rapport-initial-delabre/parts/cmp.aux b/docs/rapports/rapport-initial-delabre/parts/cmp.aux
new file mode 100644
index 0000000..8fda4e0
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/cmp.aux
@@ -0,0 +1,69 @@
+\relax 
+\providecommand\hyper@newdestlabel[2]{}
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+\@setckpt{./parts/cmp}{
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diff --git a/docs/rapports/rapport-initial-delabre/parts/cmp.tex b/docs/rapports/rapport-initial-delabre/parts/cmp.tex
new file mode 100644
index 0000000..626a02f
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/cmp.tex
@@ -0,0 +1,41 @@
+\chapter*{Étude comparative}
+\addcontentsline{toc}{chapter}{Étude comparative}
+
+Le jeu de la vie permet, avec des règles très simples, de produire
+des motifs extrêmement complexes. Ces motifs peuvent nécessiter de
+nombreuses générations sur de grandes surfaces, d'où la nécessité
+d'un algorithme évitant les calculs inutiles. En effet, on peut
+remarquer que beaucoup de motifs se répètent au cours des générations
+et qu'il n'est pas utile de calculer l'état de zones isolées
+des cellules vivantes. C'est l'objectif de l'algorithme \emph{Hashlife}.
+
+D'un point de vue algorithmique, le jeu de go est également
+intéressant. Le décompte des points demande de pouvoir identifier
+les territoires des joueurs, ce à quoi un algorithme de remplissage par
+diffusion se prête bien, comme montré au cours de l'étude algorithmique.
+Cependant, le décompte peut aussi demander (en fonction
+des règles que l'on applique) de retirer les pierres « mortes »
+c'est à dire celles qui n'auraient pas pu être sauvées
+de la prise même en contiuant de jouer. On ne peut pas imaginer pouvoir
+concevoir un algorithme qui détecte de telles pierres sans avoir
+une intelligence artificielle assez performante pour pouvoir simuler
+les coups suivants. Les intelligences artificielles en matière
+de jeu de go restent peu performantes, car les techniques
+classiques de recherche de solutions employées notamment avec
+les échecs ne sont pas envisageables, au vu du nombre de possibilités.
+
+Le jeu de plateformes présente un intérêt différent. D'une part,
+la quantité de travail à fournir est largement supérieure à celle des autres
+jeux présentés, et nécessite donc la coordination d'une équipe.
+D'autre part, les algorithmes à concevoir sont directement
+à mettre en relation avec l'enseignement de mécanique classique du
+premier semestre, ce qui permet de le valoriser. Enfin, un tel jeu
+a un résultat visuel plus à même d'être présenté en vidéo ou
+devant un public, puisqu'il est plus dynamique que le jeu de la
+vie ou le jeu de go.
+
+Chaque jeu présenté dans ce rapport demande une organisation différente car le
+volume de travail requis va en croissant. En effet, alors que le jeu de la vie
+peut être développé par une seule personne en 40 heures totales, le jeu de
+plateformes demande au moins 175 heures et donc la collaboration d'au moins
+3 personnes.
diff --git a/docs/rapports/rapport-initial-delabre/parts/conclu.aux b/docs/rapports/rapport-initial-delabre/parts/conclu.aux
new file mode 100644
index 0000000..00ba596
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/conclu.aux
@@ -0,0 +1,69 @@
+\relax 
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diff --git a/docs/rapports/rapport-initial-delabre/parts/conclu.tex b/docs/rapports/rapport-initial-delabre/parts/conclu.tex
new file mode 100644
index 0000000..fee26db
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/conclu.tex
@@ -0,0 +1,15 @@
+\chapter*{Conclusion}
+\addcontentsline{toc}{chapter}{Conclusion}
+
+Pour les raisons exposées dans l'étude comparative,
+j'ai choisi de développer le jeu de plateformes pour le projet
+C.M.I. de cette année. La réalisation d'un moteur physique
+reste un bon exercice algorithmique, tout en laissant place
+à une partie plus créative à travers la réalisation de l'univers
+graphique et de la musique.
+
+Pour la création de ce jeu, un volume horaire d'au moins
+175 heures est nécessaire. Il faut donc constituer une
+équipe d'au moins 3 personnes. Je pense que
+Maëlle \textsc{Beuret} et Rémi \textsc{Cérès} seraient
+les plus à même à m'accompagner sur ce projet.
diff --git a/docs/rapports/rapport-initial-delabre/parts/go.aux b/docs/rapports/rapport-initial-delabre/parts/go.aux
new file mode 100644
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diff --git a/docs/rapports/rapport-initial-delabre/parts/go.tex b/docs/rapports/rapport-initial-delabre/parts/go.tex
new file mode 100644
index 0000000..c6b9e94
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/go.tex
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+%%%%%%%%%%
+% Macros %
+%%%%%%%%%%
+
+% Dessine une pierre en X, Y de la couleur donnée
+% (doit être utilisé dans un environnement TikZ)
+\newcommand{\fillstone}[3]{
+\draw [fill=#3] (#1,#2) circle (.4);
+}
+
+%%%%%%%%%%
+% Source %
+%%%%%%%%%%
+
+\chapter{Jeu de go}
+
+Joué en occident depuis le XIX siècle, le jeu de go est originaire
+d'Asie et vieux de plusieurs milliers d'années. La société étasunienne
+de Go le décrit comme \flqq~le plus ancien jeu toujours joué sous
+sa forme originale.~\frqq~\cite{ggo-aga}
+Comme les échecs, le jeu de go est déterminé, à information complète
+et parfaite~: à tout moment tous les joueurs ont la même information
+à disposition pour décider de leur coup et il n'y a pas de hasard.~\cite{game-theory-wiki}
+
+Malgré la simplicité apparente du jeu, le nombre de combinaisons possibles
+s'élève à plus de $10^{600},$ ce qui en fait l'un des objectifs non-atteints
+les plus anciens en matière de recherche en intelligence artificielle.
+Le programme \emph{AlphaGo} de \emph{Google} tentera en mars prochain de rivaliser
+avec le meilleur joueur de go au monde, Lee Sedol.~\cite{ggo-ai,ggo-compqueens}
+
+\section{Principes}
+
+\subsection{Matériel}
+
+Le jeu se joue sur un plateau de $18 \times 18$ cases (soit
+$19 \times 19$ intersections) appelé \emph{goban.} Deux joueurs
+s'affrontent en posant à tour de rôle des pierres blanches
+et noires.
+
+\subsection{Règles}
+
+Lorsqu'un joueur doit jouer, il peut soit poser une pierre
+de sa couleur sur une des intersections du \emph{goban,} soit passer son tour.
+Si les deux joueurs passent successivement, la partie est terminée.~\cite{ggo-ffg}
+
+\begin{wrapfigure}[12]{r}{0.35\linewidth}
+    \centering
+    \input{./figures/go-ex-1}
+    \caption{La chaîne blanche sera capturée par la pose d'une pierre noire en~(1)}
+    \label{fig:go-ex-1}
+\end{wrapfigure}
+
+On définit une chaîne comme étant une zone de pierres
+interconnectées horizontalement ou verticalement (mais pas
+diagonalement). Les \emph{libertés} d'une telle chaîne
+sont le nombre d'intersections vides autour d'elles (horizontalement,
+verticalement, mais pas diagonalement).
+
+Si, en plaçant une pierre, un joueur supprime la dernière
+liberté d'une chaîne adverse, la chaîne en question est capturée
+et retirée du plateau, comme montré en figure \ref{fig:go-ex-1}.
+Un joueur peut placer sa pierre n'importe où sur le
+\emph{goban,} pour peu que cela ne supprime pas toutes les libertés
+d'une de ses chaînes et que cela ne répète pas une position précédente du jeu.
+
+\subsection{Fin du jeu}
+
+À la fin de la partie, c'est-à-dire après que les deux joueurs
+ont passé leur tour, on décompte les points. Chaque pierre
+présente sur le \emph{goban} rapporte un point, ainsi que chaque
+intersection vide à l'intérieur du territoire d'un joueur.
+Un territoire d'un joueur est défini comme étant une zone inoccupée du plateau,
+séparée du reste uniquement par des pierres de la couleur attribuée à ce joueur.
+La figure \ref{fig:go-ex-2} montre des exemples de territoires.
+
+\begin{figure}[h!]
+    \centering
+    \input{./figures/go-ex-2}
+    \caption{Un territoire du joueur attribué aux blancs en~(1) et un territoire du joueur attribué aux noirs en~(2)}
+    \label{fig:go-ex-2}
+\end{figure}
+
+\section{Modélisation}
+
+Seules les $19 \times 19$ intersections de la grille sont utilisées,
+pas les cases. On pourra donc utiliser un tableau de tableaux de taille
+$19 \times 19.$ À tout moment, chaque case peut soit être vide, soit
+occupée par une pierre noire, soit occupée par une pierre blanche.
+On optera donc pour un tableau de tableaux d'entiers, en représentant
+par $0$ l'état vide, $1$ la présence d'une pierre noire et $2$ la
+présence d'une pierre blanche.
+
+On maintiendra en tout temps une liste des chaînes actives, avec une
+liste des intersections occupées par ces chaînes et le nombre de leurs libertés.
+Après chaque coup, la grille sera hachée et le résultat sera ajouté
+dans une liste appelée la liste des positions précédentes.
+
+\section{Algorithmes}
+
+\begin{description}
+    \item[Initialisation] Allocation d'une grille de taille
+    $19 \times 19,$ initialisée à $0$.
+    \item[Placement d'une pierre] Étant donnés une position et
+    la couleur de la pierre à placer.
+    \begin{enumerate}
+        \item Si la pierre se situe en dehors de la grille, le coup est invalide.
+        Terminer l'algorithme.
+        \item Faire une copie de la grille et de la liste des chaînes. Dans le
+        reste de l'algorithme, on opérera uniquement sur ces copies, sauf mention contraire.
+        \item À la position choisie dans la grille, affecter l'entier correspondant
+        à la couleur du joueur (1 ou 2).
+        \item Hacher la grille et comparer l'empreinte à la liste des positions
+        précédentes. S'il y a correspondance, le coup reproduit un état de jeu déjà
+        atteint, donc le coup est invalide. Terminer l'algorithme.
+        \item Identifier toutes les chaînes voisines horizontalement et
+        verticalement à la pierre placée. Mettre à jour les libertés et
+        les pierres composant ces chaînes.
+        \item Si une chaîne voisine de la couleur adverse n'a plus aucune
+        liberté, effacer toutes ses pierres dans la grille et supprimer la
+        chaîne de la liste des chaînes. Mettre à jour les libertés des
+        chaînes voisines.
+        \item Si une chaîne voisine de la couleur du joueur jouant le coup
+        n'a plus aucune liberté, le coup est invalide. Terminer
+        l'algorithme.
+        \item Appliquer les grilles copiées dans les grilles originales.
+        \item Ajouter l'empreinte de la grille à la liste des positions
+        précédentes.
+    \end{enumerate}
+    \item[Décompte des points] On initialise deux compteurs pour les points
+    du joueur attribué aux noirs et les points du joueur attribué aux blancs.
+    Pour parcourir les territoires des joueurs on utilise une variante de
+    l'algorithme de remplissage par diffusion.~\cite{ggo-algofloodfill}
+    \begin{enumerate}
+        \item Parcourir la grille et attribuer un point par pierre placée à chaque joueur.
+        \item Créer une grille $G$ de même taille que la grille de jeu, initialisée à 0.
+        \item Pour chaque case $C$ dans la grille de $(0,0)$ à $(18,18)$, si la case n'est
+        pas vide ou si $G[C] = 1,$ passer à la case suivante, sinon~:
+        \begin{enumerate}
+            \item initialiser une liste $L$ contenant uniquement $C$~;
+            \item initialiser un compteur $cases$ à 0~;
+            \item initialiser une variable $couleur$ vide~;
+            \item tant que la liste $L$ n'est pas vide, faire~:
+            \begin{enumerate}
+                \item prendre $D$ la première case de $L$~;
+                \item supprimer le premier élément de $L$~;
+                \item si la case $D$ est vide, passer $G[D]$ à 1,
+                ajouter les cases au nord, au sud, à l'est et à l'ouest de $D$ dans $L$ si
+                elles ne sont pas telles que $G[X] = 1,$ et incrémenter $cases$~;
+                \item sinon, si $couleur$ est vide, $couleur := couleur(D)$~;
+                \item sinon, si $couleur \neq couleur(D), couleur := mixte$~;
+            \end{enumerate}
+            \item si $couleur = noir,$ ajouter $cases$ points au joueur attribué
+            aux pierres noires. Si $couleur = blanc,$ ajouter $cases$ points
+            au joueur attribué aux pierres blanches.
+        \end{enumerate}
+    \end{enumerate}
+    \item[Affichage] La grille sera parcourue case par case. Chaque valeur
+    différente de 0 provoquera le placement d'un pion sur l'intersection
+    correspondante de la couleur correspondante. Le programme devra
+    être réceptif aux clics sur la grille et appeler l'algorithme de placement
+    d'un pion en conséquence.
+\end{description}
+
+\section{Spécifications}
+
+\subsection{Version initiale}
+
+On choisira le langage C++, qui possède les structures requises dans
+la section précédente, et est enseigné dans le cursus. Il n'y a pas de difficulté
+algorithmique particulière qui justifie le choix d'un langage différent,
+sachant que le choix d'un tel langage pourrait ralentir le développement.
+
+On préfèrera un affichage fenêtré au vu des nombreuses interactions
+qui seront facilitées par l'usage de la souris. On proposera une
+grille de taille fixe $19 \times 19.$
+Les deux joueurs utiliseront la même fenêtre, plaçant leur
+pierre à tour de rôle.
+
+Les types standards, comme
+\texttt{std::vector} ou \texttt{std::unordered\_map}, seront utilisés
+pour représenter les structures abordées dans la section traitant
+de la modélisation.
+
+\subsection{Améliorations possibles}
+
+Une interface plus travaillée pourra être proposée avec un
+choix parmi différentes tailles standard de grille telles que
+$9 \times 9$ et $13 \times 13.$
+Les joueurs pourront s'affronter en réseau.
+
+\section{Organisation}
+
+L'implémentation des algorithmes
+demandera de la documentation sur les hachages, les
+tableaux associatifs et autres structures abordées ci-avant.
+Il y a deux algorithmes principaux~: le décompte des points
+et le placement d'une pierre. On consacrera à la mise au point
+des algorithmes initiaux et à leur perfection 40 heures au total.
+
+Pendant le développement des algorithmes, le fenêtrage
+pourra être conçu avec l'interface de choix des grilles
+et de présentation des résultats. On pourra y consacrer
+10 heures.
+
+La mise en réseau du jeu se fera lorsque les algorithmes
+seront suffisamment robustes. Elle nécessitera de la
+documentation sur les \emph{sockets} avec la SFML. On
+pourra y consacrer 15 heures.
+
+La rédaction du rapport s'effectuera en continu pendant la création du jeu.
+La figure~\ref{fig:go-gantt} présente un diagramme de Gantt résumant
+la répartition du travail.
+
+\begin{figure}[h!]
+    \centering
+    \input{./figures/go-gantt}
+    \caption{Développement du jeu de go sur 40 heures}
+    \label{fig:go-gantt}
+\end{figure}
diff --git a/docs/rapports/rapport-initial-delabre/parts/intro.aux b/docs/rapports/rapport-initial-delabre/parts/intro.aux
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+\chapter*{Introduction}
+\addcontentsline{toc}{chapter}{Introduction}
+
+L'objectif du module Projet C.M.I. de second semestre est
+de développer un jeu en groupe, ce qui permet de s'initier
+à la gestion d'un projet, à la communication et à la collaboration
+au sein d'une équipe, mais aussi de mobiliser les connaissances
+acquises en matière d'algorithmique au premier semestre.
+
+Ce rapport présente ainsi trois jeux vidéos qui se prêtent
+à cet exercice~: le jeu de la vie, le jeu de go et un jeu
+original basé sur les jeux de plateformes. Pour chacun de ces jeux,
+on étudie son principe, mais aussi les manières de le
+représenter dans une machine et les algorithmes pouvant être
+utilisés pour simuler le jeu.
+
+Cette étude est également l'occasion de réfléchir sur les
+éventuelles difficultés qui seront rencontrées pendant
+le développement. Est également présentée une organisation
+possible pour la création du jeu.
+
+Enfin, les trois jeux sont comparés à la lumière de leur
+intérêt algorithmique, de leur difficulté de développement
+et du temps nécessaire pour les créer.
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diff --git a/docs/rapports/rapport-initial-delabre/parts/life.tex b/docs/rapports/rapport-initial-delabre/parts/life.tex
new file mode 100644
index 0000000..5cebee6
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/life.tex
@@ -0,0 +1,205 @@
+%%%%%%%%%%
+% Macros %
+%%%%%%%%%%
+
+% Associe les couleurs en fonction de l'état d'une cellule
+\newcommand{\cellcolor}[1]{%
+\ifnum\pdfstrcmp{#1}{alive}=0 matblue\fi%
+\ifnum\pdfstrcmp{#1}{dying}=0 matred\fi%
+\ifnum\pdfstrcmp{#1}{nascent}=0 matgreen\fi}
+
+% Dessine une cellule en X, Y dans l'état donné (doit être
+% utilisé dans un environnement TikZ)
+\newcommand{\fillcell}[3]{
+\ifnum\pdfstrcmp{#3}{stillborn}=0
+\draw [fill=\cellcolor{dying}] (#1,#2) -- (#1+1,#2) -- (#1+1,#2+1) -- (#1,#2);
+\draw [fill=\cellcolor{nascent}] (#1,#2) -- (#1,#2+1) -- (#1+1,#2+1) -- (#1,#2);
+\else
+\draw [fill=\cellcolor{#3}] (#1,#2) rectangle (#1+1,#2+1);
+\fi
+}
+
+%%%%%%%%%%
+% Source %
+%%%%%%%%%%
+
+\chapter{Jeu de la vie}
+
+Le jeu de la vie, inventé par John Conway en 1970, est l'exemple le plus
+populaire d'automate cellulaire.
+\cite{gof-wikipedia}
+Un automate cellulaire est un ensemble
+de cellules pouvant être dans plusieurs états différents et dont l'état
+suivant est entièrement déterminé à partir de l'état actuel.
+\cite{gof-automata}
+
+Il présente un intérêt théorique car il a été démontré que le jeu de la vie
+est Turing-complet, c'est-à-dire que n'importe quel algorithme peut
+y être implémenté.
+
+\section{Principes}\label{sec:principes}
+
+Le jeu de la vie est composé d'une grille infinie de cellules pouvant
+être soit mortes soit vivantes. Le jeu est constitué d'états : un état du jeu
+est l'ensemble des états (vivante ou morte) de chacune de ses cellules à
+un moment précis. Seul l'état initial est fourni, les états suivants sont calculés
+de proche en proche selon les règles suivantes~:
+
+\begin{enumerate}
+    \item si une cellule a trois voisines à l'état $n$, elle est vivante à l'état $n+1$ ;
+    \item si une cellule a deux voisines à l'état $n$, elle persévère dans son état ;
+    \item si une cellule a moins de deux ou plus de trois voisines à l'état $n$, elle est morte à l'état $n+1$.
+    \cite{gof-conwaylife}
+\end{enumerate}
+
+Les figures~\ref{fig:life-ex-1}, \ref{fig:life-ex-2} et \ref{fig:life-ex-3} montrent
+trois situations typiques du jeu de la vie sur des portions de grilles.
+Dans ces figures, une case \tikz[scale=.2]{\fillcell{0}{0}{nascent}} représente
+une cellule qui vient de naître, une case \tikz[scale=.2]{\fillcell{0}{0}{dying}}
+représente une cellule qui va mourir à l'état suivant et une case
+\tikz[scale=.2]{\fillcell{0}{0}{alive}} représente une cellule vivante.
+
+\begin{figure}[p!]
+    \centering
+    \input{./figures/life-ex-1}
+    \caption{Mort par sous-population}
+    \label{fig:life-ex-1}
+\end{figure}
+
+\begin{figure}[p!]
+    \centering
+    \input{./figures/life-ex-2}
+    \caption{Un oscillateur, une configuration qui se répète indéfiniment}
+    \label{fig:life-ex-2}
+\end{figure}
+
+\begin{figure}[p!]
+    \centering
+    \input{./figures/life-ex-3}
+    \caption{Stabilisation de la configuration en quatre états}
+    \label{fig:life-ex-3}
+\end{figure}
+
+\section{Modélisation}
+
+Les cellules peuvent prendre uniquement deux états, vivante ou
+morte. Pour cette raison, il est naturel de représenter une
+cellule par un booléen, \texttt{true} pour une cellule
+vivante et \texttt{false} pour une cellule morte.
+Pour la représentation d'une grille de cellules, on utilisera donc
+un tableau de tableaux de booléens.
+
+Les tableaux seront de taille suffisamment grande pour éviter qu'une
+structure n'arrive à la bordure. En effet, le comportement à la bordure
+d'une grille n'est pas défini dans les règles du jeu de la vie puisqu'il
+est censé se dérouler sur une grille infinie.
+
+\section{Algorithmes}
+
+Quatre algorithmes doivent être définis pour gérer la grille.
+
+\begin{description}
+    \item[Initialisation de la grille] Allocation d'une grille de taille
+    donnée et initialisation de tous les booléens à \texttt{false}.
+    \item[Détermination du nombre de voisins vivants] Reçoit une grille $G$
+    et une position de cellule $(x, y)$.
+    \begin{enumerate}
+        \item Soit $total := 0$.
+        \item Pour $i$ allant de $x - 1$ à $x + 1$~:
+        \begin{enumerate}
+            \item pour $j$ allant de $y - 1$ à $y + 1$, si
+            $(i, j)$ est une position valide et
+            $(i, j)$ est une cellule vivante de $G$ et
+            $(i, j) \neq (x, y)$, alors $total := total + 1$.
+        \end{enumerate}
+        \item Renvoyer $total$.
+    \end{enumerate}
+    \item[Calcul de l'état suivant] Reçoit une grille $G$ et calcule
+    la grille représentant l'état suivant du jeu.
+    \begin{enumerate}
+        \item Soit $G^\prime$ une grille de même taille que $G$.
+        \item Pour $i$ allant de $0$ à la taille horizontale de $G$~:
+        \begin{enumerate}
+            \item pour $j$ allant de $0$ à la taille verticale de $G$~:
+            \begin{enumerate}
+                \item appeler l'algorithme \textbf{Détermination du nombre de voisins vivants}
+                sur la grille $G$ et la case $(i, j)$ et stocker le résultat dans $voisins$~;
+                \item si $voisins = 3$, $G^\prime(i, j) := \mathtt{true}$~;
+                \item sinon, si $voisins = 2$, $G^\prime(i, j) := G(i, j)$~;
+                \item sinon, $G^\prime(i, j) := \mathtt{false}$.
+            \end{enumerate}
+        \end{enumerate}
+        \item Renvoyer $G^\prime$.
+    \end{enumerate}
+    \item[Affichage de la grille] Doit parcourir chaque cellule
+    d'une grille donnée pour afficher à l'écran l'état de celle-ci. L'algorithme
+    dépendra principalement du type d'affichage choisi (terminal, fenêtré).
+\end{description}
+
+Le programme principal se charge d'appeler l'algorithme 1, puis
+d'appeler de manière répétée les algorithmes 3 et 4 pour afficher
+les états suivants.
+
+\section{Spécifications}
+
+\subsection{Version initiale}
+
+On choisira le langage C++, qui possède les structures requises dans
+la section précédente, et est enseigné dans le cursus. Il n'y a pas de difficulté
+algorithmique particulière qui justifie le choix d'un langage différent,
+sachant que le choix d'un tel langage pourrait ralentir le développement.
+
+L'affichage de la grille se fera dans le terminal. Un algorithme
+naïf sera choisi pour le calcul de l'état suivant, se contenant de parcourir
+chaque cellule et de calculer son état, sans recherche d'optimisation.
+
+L'état initial sera choisi par l'utilisateur parmi une série de
+préconfigurations codées \emph{en dur} dans le programme.
+
+Le type \texttt{std::vector<std::vector<bool>\null>} de la librairie
+standard C++ sera utilisé pour représenter les grilles car il permet
+une allocation dynamique automatiquement gérée.
+
+\subsection{Améliorations possibles}
+
+L'affichage peut s'effectuer en fenêtré. Les bibliothèques
+SDL~(en C) ou SFML~(en C++, orienté objet) peuvent être choisies
+et seront utilisées dans l'algorithme d'affichage pour le dessin
+des cellules, et dans le programme principal pour initialiser la fenêtre.
+
+On peut laisser l'utilisateur choisir l'état initial en cliquant
+sur les cellules. L'utilisateur pourra contrôler la génération grâce
+à un bouton marche/arrêt, pas à pas, ou remise à zéro. On peut
+également fournir une série de préconfigurations parmi lesquelles choisir
+dans l'interface.
+
+Enfin, un algorithme plus performant peut être utilisé, réduisant
+les calculs inutiles. Par exemple, l'algorithme \emph{Hashlife,}
+\cite{gof-hashlife}
+utilisant des \emph{quadtrees} et une table de hachage peut améliorer
+considérablement les performances (mais peut être difficile à implémenter).
+
+\section{Organisation}
+
+Pour la version initiale du programme, il y a quatre algorithmes à
+mettre en place. Ces algorithmes reprennent des concepts
+vus en cours. On pourra y consacrer 10 heures.
+
+Pour l'affichage fenêtré, il faudra se renseigner sur l'A.P.I. des
+bibliothèques utilisées, concevoir une interface (placement des boutons,
+de la grille) et l'implémenter. On pourra prévoir 10 heures.
+
+L'implémentation de l'algorithme \emph{Hashlife} requièrera des renseignements
+sur l'utilisation des \emph{quadtrees} et des tables de hachages ainsi
+que sur l'algorithme en lui-même. Prévoir 20 heures.
+
+La rédaction du rapport s'effectuera en continu pendant la création du jeu.
+La figure~\ref{fig:life-gantt} présente un diagramme de Gantt résumant
+la répartition du travail.
+
+\begin{figure}[h!]
+    \centering
+    \input{./figures/life-gantt}
+    \caption{Développement du jeu de la vie sur 40 heures}
+    \label{fig:life-gantt}
+\end{figure}
diff --git a/docs/rapports/rapport-initial-delabre/parts/ptf.aux b/docs/rapports/rapport-initial-delabre/parts/ptf.aux
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index 0000000..5c04793
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/parts/ptf.tex
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+\chapter{Jeu de plateformes coopératif}
+
+Les jeux de plateformes sont un des premiers genres
+à avoir émergé dans le monde du jeu vidéo. Ils consistent
+à faire progresser un personnage en le faisant aller
+de plateforme en plateforme, d'où leur nom.
+
+Le troisième jeu étudié a un principe original, inspiré
+des jeux de plateformes, de coopération et de réflexion. Il
+s'agira pour deux joueurs de faire traverser deux balles
+aimantées à travers un niveau, certains éléments du décor
+étant eux aussi aimantés.
+
+La conception du jeu s'appuiera sur cet élément
+physique pour proposer des niveaux sous forme de casse-têtes,
+dans lesquels les deux participants devront s'entraider et
+réfléchir pour parvenir à la fin.
+
+\section{Principes}
+
+Deux joueurs doivent s'entraider pour faire avancer leur balle à travers
+des niveaux. Les joueurs exploitent pour ce faire les mécanismes
+physiques définis dans la section \ref{section:ptf-joueurs}.
+
+Le jeu est constitué d'une suite de niveaux, chaque niveau
+étant une grille de blocs en deux dimensions. Ces grilles sont
+définies en avance par le programmeur. Les blocs interagissent
+avec les balles comme défini dans les sections \ref{section:ptf-joueurs}
+et \ref{section:ptf-blocs}.
+
+Les joueurs valident un niveau en faisant parvenir toutes les
+balles dans une zone d'arrivée prédéfinie. Ils passent
+ainsi au niveau suivant. Le but du jeu est de terminer tous
+les niveaux.
+
+\subsection{Joueurs}
+\label{section:ptf-joueurs}
+
+Les deux joueurs contrôlent chacun une balle. Ces balles ont pour
+propriétés leur position dans le plan, leur vitesse et leur charge
+électrique. Les balles évoluent par interactions
+avec le joueur et par interactions physiques.
+
+Un joueur peut interagir avec sa balle de trois manières~:
+il peut lui donner de la vitesse vers la gauche de la fenêtre,
+la droite de la fenêtre, ou inverser la polarité de la balle.
+Le joueur ne peut pas faire « sauter » sa balle.
+
+L'évolution des balles, en dehors du contrôle des joueurs, est
+conditionnée par les phénomènes physiques suivants~:
+
+\begin{itemize}
+    \item une force de gravité qui agit en tout point et attire
+    les balles vers le bas, le haut, la gauche ou la droite de la
+    fenêtre. L'orientation de cette force peut être modifiée par les
+    actions d'une balle en cours de jeu~;
+
+    \item une force de réaction qui agit de telle sorte
+    que les balles ne puissent pas traverser les blocs~;
+
+    \item des forces de frottements lorsque la balle se situe
+    au contact d'un bloc. L'intensité de cette force varie
+    en fonction des types de blocs~;
+
+    \item une force d'interaction coulombienne entre les éléments
+    du jeu qui sont polarisés (c'est-à-dire les balles et
+    certains blocs tels que définis en section \ref{section:ptf-blocs}).
+\end{itemize}
+
+\subsection{Caméra}
+
+À tout moment les deux balles peuvent se situer n'importe où dans le
+niveau. Il faut toutefois faire en sorte qu'elles soient toutes deux
+visibles à tout moment.
+
+Pour ce faire, la caméra est centrée sur la position moyenne
+des deux balles si celles-ci sont suffisament proches. Sinon,
+l'écran est divisé en deux et chaque partie est centrée sur chacune
+des balles.
+
+\subsection{Blocs}
+\label{section:ptf-blocs}
+
+Le niveau est une grille de blocs. Les blocs possèdent
+une position sur la grille déterminée par une paire d'entiers et
+une charge électrique qui peut être annulée pour que le bloc
+n'attire aucun objet. Certains blocs peuvent modifier le sens
+de la gravité lorsqu'une balle rentre en collision avec eux.
+Enfin, les blocs sont statiques et ne sont pas soumis
+à la physique du jeu.
+
+\section{Modélisation}
+
+Les balles sont modélisées par une classe \texttt{Ball}. Cette
+classe est dotée des propriétés \texttt{position},
+\texttt{velocity}, \texttt{mass} et \texttt{charge}.
+Le vecteur \texttt{position} représente la position de la balle
+dans le plan. Le vecteur \texttt{velocity} représente la
+vitesse de la balle. Le flottant \texttt{mass} représente la masse
+de la balle, qui sera utilisée dans le calcul de l'accélération.
+Enfin, le flottant \texttt{charge} représente sa charge électrique.
+
+Les blocs sont modélisés par une classe \texttt{Block} munie
+des propriétés \texttt{position} et \texttt{charge}
+qui représentent la position du bloc sur la grille de jeu et
+sa charge. La charge du bloc est nulle s'il n'est pas polarisé.
+La classe sera étendue pour représenter des types de
+blocs spécialisés.
+
+Enfin, une classe principale \texttt{Engine} est chargée de
+coordonner les éléments du jeu
+et d'organiser le dessin des \emph{frames}. Elle est
+dotée d'un tableau à deux dimensions d'instances de
+\texttt{Block} qui représente la grille de jeu,
+d'un tableau à une dimension d'instances de \texttt{Ball}
+qui stocke toutes les balles dans le niveau, et d'une
+horloge qui mesure le temps écoulé entre chaque \emph{frame}.
+
+La figure \ref{fig:ptf-uml-diagram} présente les classes
+utilisées pour la modélisation. Les méthodes de ces classes
+sont détaillées dans la section suivante.
+
+\begin{figure}[h!]
+    \centering
+    \input{./figures/ptf-uml-diagram}
+    \caption{Diagramme des classes utilisées}
+    \label{fig:ptf-uml-diagram}
+\end{figure}
+
+\section{Algorithmes}
+\label{section:ptf-algos}
+
+\subsection{Physique}
+
+Les balles sont équipées de propriétés représentant leur
+position, leur vitesse, leur masse et leur charge comme
+vu dans la section précédente. On utilise
+l'intégration explicite d'Euler pour calculer la nouvelle
+position de chaque balle à chaque \emph{frame}. \cite{ptf-euler}
+Cette méthode a l'avantage d'être simple à implémenter et rapide.
+
+\begin{description}
+    \item[\texttt{Engine::update(delta)}]
+    L'algorithme reçoit le temps écoulé depuis la dernière \emph{frame}. Il
+    calcule les forces à appliquer à chaque balle, puis appelle la procédure
+    \texttt{Ball::update(forces, delta)} en conséquence.
+    \begin{enumerate}
+        \item Pour chaque \texttt{ball} dans \texttt{balls}.
+        \item Initialiser un vecteur \texttt{forces} au vecteur nul.
+        \item Ajouter le vecteur $(0, g)$, $(0, -g)$, $(g, 0)$, $(-g, 0)$
+        selon la direction de la gravité au vecteur \texttt{forces}.
+        \item Si la touche pour faire aller la balle \texttt{ball}
+        à gauche est enfoncée, ajouter le vecteur $(-m, 0)$ au
+        vecteur \texttt{forces}.
+        \item Si la touche pour faire aller la balle \texttt{ball}
+        à droite est enfoncée, ajouter le vecteur $(m, 0)$ au
+        vecteur \texttt{forces}.
+        \item Pour chaque autre élément polarisé, appliquer une
+        force d'attraction portée par la droite passant par les
+        deux éléments et de norme $c \times \frac{\mathtt{charge}_1 \times \mathtt{charge}_2}{\mathtt{distance}^2}$.
+        \item Gérer les collisions et les frottements.
+        \item Appeler \texttt{Ball::update(forces, delta)} sur \texttt{ball}.
+    \end{enumerate}
+
+    \item[\texttt{Ball::update(forces, delta)}]
+    L'algorithme reçoit le vecteur somme de toutes les forces appliquées
+    à la balle et un flottant qui contient le temps écoulé depuis la
+    dernière \emph{frame}. Il calcule la position suivante de la balle.
+    \begin{enumerate}
+        \item $\mathtt{acceleration} := \frac{\mathtt{forces}}{\mathtt{mass}}$.
+        \item Ajouter $\mathtt{acceleration} \times \mathtt{delta}$ à \texttt{velocity}.
+        \item Ajouter $\mathtt{velocity} \times \mathtt{delta}$ à \texttt{position}.
+    \end{enumerate}
+\end{description}
+
+Les constantes $g$, $m$ et $c$ devront être définies et
+ajustées au cours de la conception du jeu pour que
+la simulation paraisse naturelle.
+
+\subsection{Dessin}
+
+La scène du jeu est composée de trois couches, l'une pour
+l'arrière-plan du jeu, une autre pour la grille de blocs,
+et la dernière pour les balles. Ces couches sont représentées
+sur les figures \ref{fig:ptf-layering-exploded} et \ref{fig:ptf-layering-merged}.
+Chaque objet susceptible d'être dessiné à l'écran possède
+une méthode \texttt{draw()}.
+
+\begin{description}
+    \item[\texttt{Ball::draw()}] Dessine la balle à sa position sur l'écran.
+    \item[\texttt{Block::draw()}] Dessine le bloc à sa position sur l'écran.
+    \item[\texttt{Engine::draw()}] Cet algorithme du moteur appelle les
+    différentes fonctions de dessin dans un ordre spécifique pour que
+    les trois couches de la scène du jeu soient correctement affichées.
+    \begin{enumerate}
+        \item Dessiner l'arrière-plan du jeu.
+        \item Dessiner la grille de blocs en appelant \texttt{Block::draw()}
+        sur les blocs de \texttt{blocks} qui sont visibles à l'écran.
+        \item Dessiner le premier-plan en appelant \texttt{Ball::draw()} sur
+        les balles de \texttt{balls} qui sont visibles à l'écran.
+    \end{enumerate}
+\end{description}
+
+\begin{figure}[p!]
+    \centering
+    \input{./figures/ptf-layering-exploded}
+    \caption{Vue explosée des trois couches de rendu du jeu}
+    \label{fig:ptf-layering-exploded}
+\end{figure}
+
+\begin{figure}[p!]
+    \centering
+    \input{./figures/ptf-layering-merged}
+    \caption{Une configuration similaire à celle de la figure \ref{fig:ptf-layering-exploded}, vue de face}
+    \label{fig:ptf-layering-merged}
+\end{figure}
+
+\subsection{Moteur}
+
+\begin{description}
+    \item[Initialisation du moteur \texttt{Engine}]\hfill
+    \begin{enumerate}
+        \item Créer et configurer la fenêtre d'affichage du jeu.
+        \item Initialiser \texttt{clock} à zéro.
+        \item Tant que la fenêtre est ouverte~:
+        \begin{enumerate}
+            \item traiter tous les événements relatifs à la fenêtre
+            (notamment l'appui sur une touche, la fermeture, le redimensionnement)~;
+            \item calculer le temps écoulé \texttt{delta} depuis la
+            dernière \emph{frame} et réinitialiser \texttt{clock} à zéro~;
+            \item appeler l'algorithme \texttt{Engine::update(delta)}~;
+            \item appeler l'algorithme \texttt{Engine::draw()}.
+        \end{enumerate}
+    \end{enumerate}
+\end{description}
+
+\section{Spécifications}
+
+\subsection{Version initiale}
+
+On choisira le langage C++, qui prend en charge le paradigme objet
+et dont la syntaxe est enseignée dans le cursus. On utilisera
+la librairie SFML pour son A.P.I. simple et puissante.
+
+Les deux joueurs partageront le clavier d'une même machine.
+
+On utilisera le type \texttt{sf::Vector2d} pour ce qui est
+vectoriel (position, vitesse, accélération, forces). Les tableaux
+utiliseront le type standard \texttt{std::vector}. Le type
+\texttt{sf::Clock} sera utilisé pour l'horloge du moteur. On choisira
+entre des flottants simple précision ou double précision en
+fonction des besoins.
+
+Des recherches supplémentaires sont nécessaires notamment
+concernant les algorithmes de détection et de réaction
+aux collisions. \cite{ptf-collision-detection, ptf-collision-response}
+
+\subsection{Améliorations possibles}
+
+L'algorithme physique utilise la méthode explicite d'Euler.
+Cette méthode engendre une erreur de simulation d'autant
+plus grande que l'espacement entre les \emph{frames} est
+élevé, ce qui signifie que la physique du jeu se comportera
+différemment selon les performances de la machine. On pourra
+opter pour des méthodes plus précises comme l'intégration
+de Verlet \cite{ptf-verlet} ou la méthode de Runge-Kutta classique.
+\cite{ptf-rk4}
+
+On pourra faire en sorte que le jeu s'exécute en réseau
+entre deux machines, une pour chaque joueur. Cela requièrera
+une synchronisation de la simulation physique et la mise au point d'un
+protocole de communication entre les deux machines.
+
+\section{Organisation}
+
+Dans un premier temps le moteur physique et graphique devra
+être conçu sur la base des algorithmes fournis dans le rapport
+(hormis l'algorithme de collision, qui devra faire l'objet
+de plus de recherches). Durant la mise au point de ce moteur,
+un niveau de test sera créé permettant l'appréciation
+et l'ajustement des variables physiques. On y consacrera 40 heures
+au total.
+
+Ce niveau de test permettra également l'essai de différents
+mécanismes de \emph{gameplay.} Ces éléments seront en parallèle
+intégrés dans les niveaux finaux. La conception et le
+test des niveaux se fera sur 80 heures.
+
+Dans le même temps, l'univers graphique, notamment les textures,
+la décoration de l'interface, ainsi que la musique et les bruitages
+du jeu seront réalisés. Après la réalisation des éléments
+graphiques, on pourra concevoir l'interface du jeu.
+On y consacrera 50 heures.
+
+Enfin, les tests finaux du jeu s'effecturont sur 5 heures.
+On pourra éventuellement demander l'aide de personnes extérieures
+pour ces essais.
+
+La rédaction du rapport s'effectuera en continu pendant la création du jeu.
+La figure~\ref{fig:ptf-gantt} présente un diagramme de Gantt résumant
+la répartition du travail.
+
+\begin{figure}[h!]
+    \centering
+    \input{./figures/ptf-gantt}
+    \caption{Développement du jeu sur 40 heures}
+    \label{fig:ptf-gantt}
+\end{figure}
diff --git a/docs/rapports/rapport-initial-delabre/rapport.aux b/docs/rapports/rapport-initial-delabre/rapport.aux
new file mode 100644
index 0000000..7b25c65
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/rapport.aux
@@ -0,0 +1,50 @@
+\relax 
+\providecommand\hyper@newdestlabel[2]{}
+\catcode `:\active 
+\catcode `;\active 
+\catcode `!\active 
+\catcode `?\active 
+\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
+\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
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+\AtEndDocument{\ifx\hyper@anchor\@undefined
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+\fi}
+\global\let\hyper@last\relax 
+\gdef\HyperFirstAtBeginDocument#1{#1}
+\providecommand\HyField@AuxAddToFields[1]{}
+\providecommand\HyField@AuxAddToCoFields[2]{}
+\select@language{french}
+\@writefile{toc}{\select@language{french}}
+\@writefile{lof}{\select@language{french}}
+\@writefile{lot}{\select@language{french}}
+\@input{./parts/intro.aux}
+\@input{./parts/life.aux}
+\@input{./parts/go.aux}
+\@input{./parts/ptf.aux}
+\@input{./parts/cmp.aux}
+\@input{./parts/conclu.aux}
+\bibstyle{unsrt}
+\bibdata{rapport}
+\bibcite{gof-wikipedia}{1}
+\bibcite{gof-automata}{2}
+\bibcite{gof-conwaylife}{3}
+\bibcite{gof-hashlife}{4}
+\bibcite{ggo-aga}{5}
+\bibcite{game-theory-wiki}{6}
+\bibcite{ggo-ai}{7}
+\bibcite{ggo-compqueens}{8}
+\bibcite{ggo-ffg}{9}
+\bibcite{ggo-algofloodfill}{10}
+\bibcite{ptf-euler}{11}
+\bibcite{ptf-collision-detection}{12}
+\bibcite{ptf-collision-response}{13}
+\bibcite{ptf-verlet}{14}
+\bibcite{ptf-rk4}{15}
+\@writefile{toc}{\contentsline {chapter}{Webographie}{23}{section*.5}}
diff --git a/docs/rapports/rapport-initial-delabre/rapport.bbl b/docs/rapports/rapport-initial-delabre/rapport.bbl
new file mode 100644
index 0000000..367c6e9
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/rapport.bbl
@@ -0,0 +1,80 @@
+\begin{thebibliography}{10}
+
+\bibitem{gof-wikipedia}
+Wikipédia.
+\newblock Jeu de la vie.
+\newblock \url{https://goo.gl/RLc7C7}.
+
+\bibitem{gof-automata}
+Wikipédia.
+\newblock Automate cellulaire.
+\newblock \url{https://goo.gl/FZ5S5L}.
+
+\bibitem{gof-conwaylife}
+LifeWiki.
+\newblock Conway's game of life.
+\newblock \url{http://goo.gl/JXXQxz}.
+
+\bibitem{gof-hashlife}
+Wikipédia.
+\newblock Hashlife.
+\newblock \url{https://goo.gl/nFW2oM}.
+
+\bibitem{ggo-aga}
+American~Go Association.
+\newblock A brief history of go.
+\newblock \url{http://goo.gl/1NY9Xt}.
+
+\bibitem{game-theory-wiki}
+Wikipédia.
+\newblock Classification des jeux.
+\newblock \url{https://goo.gl/guXBAO}.
+
+\bibitem{ggo-ai}
+SciencePost.
+\newblock Jeu de go : l’affrontement entre le meilleur joueur humain du monde
+  et la machine sera retransmis en direct.
+\newblock \url{http://goo.gl/pD8zKG}.
+
+\bibitem{ggo-compqueens}
+Jay Burmeister.
+\newblock An introduction to computer go.
+\newblock \url{http://goo.gl/WMPpHU}.
+
+\bibitem{ggo-ffg}
+Fédération~Française de~Go.
+\newblock Règle française du jeu de go.
+\newblock \url{http://goo.gl/sK15PL}.
+
+\bibitem{ggo-algofloodfill}
+Wikipedia.
+\newblock Flood fill.
+\newblock \url{https://goo.gl/ERbxi3}.
+
+\bibitem{ptf-euler}
+John~T. Foster.
+\newblock Brief explanation of integration schemes.
+\newblock \url{http://goo.gl/HRssYN}.
+
+\bibitem{ptf-collision-detection}
+StackExchange GameAlchemist.
+\newblock Collision between {AABB} and circle.
+\newblock \url{http://goo.gl/7E84Ef}.
+
+\bibitem{ptf-collision-response}
+Randy Gaul.
+\newblock How to create a custom 2d physics engine: The basics and impulse
+  resolution.
+\newblock \url{http://goo.gl/G0gdWU}.
+
+\bibitem{ptf-verlet}
+Wikipedia.
+\newblock Verlet integration.
+\newblock \url{https://goo.gl/Q6giDh}.
+
+\bibitem{ptf-rk4}
+Wikipedia.
+\newblock The runge-kutta method.
+\newblock \url{https://goo.gl/UHTD8S}.
+
+\end{thebibliography}
diff --git a/docs/rapports/rapport-initial-delabre/rapport.bib b/docs/rapports/rapport-initial-delabre/rapport.bib
new file mode 100644
index 0000000..483c5f8
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/rapport.bib
@@ -0,0 +1,89 @@
+@online{game-theory-wiki,
+    author = "Wikipédia",
+    title  = "Classification des jeux",
+    howpublished = "\url{https://goo.gl/guXBAO}"
+}
+
+@online{gof-hashlife,
+    author = "Wikipédia",
+    title  = "Hashlife",
+    howpublished = "\url{https://goo.gl/nFW2oM}"
+}
+
+@online{gof-conwaylife,
+    author = "LifeWiki",
+    title  = "Conway's Game of Life",
+    howpublished = "\url{http://goo.gl/JXXQxz}"
+}
+
+@online{gof-wikipedia,
+    author = "Wikipédia",
+    title  = "Jeu de la vie",
+    howpublished = "\url{https://goo.gl/RLc7C7}"
+}
+
+@online{gof-automata,
+    author = "Wikipédia",
+    title  = "Automate cellulaire",
+    howpublished = "\url{https://goo.gl/FZ5S5L}"
+}
+
+@online{ggo-ffg,
+    author = "Fédération Française de Go",
+    title  = "Règle française du jeu de Go",
+    howpublished = "\url{http://goo.gl/sK15PL}"
+}
+
+@online{ggo-aga,
+    author = "American Go Association",
+    title  = "A Brief History of Go",
+    howpublished = "\url{http://goo.gl/1NY9Xt}"
+}
+
+@online{ggo-ai,
+    author = "SciencePost",
+    title = "Jeu de go : l’affrontement entre le meilleur joueur humain du monde et la machine sera retransmis en direct",
+    howpublished = "\url{http://goo.gl/pD8zKG}"
+}
+
+@online{ggo-compqueens,
+    author = "Jay Burmeister",
+    title  = "An Introduction to Computer Go",
+    howpublished = "\url{http://goo.gl/WMPpHU}"
+}
+
+@online{ggo-algofloodfill,
+    author = "Wikipedia",
+    title  = "Flood fill",
+    howpublished = "\url{https://goo.gl/ERbxi3}"
+}
+
+@online{ptf-euler,
+    author = "John T. Foster",
+    title  = "Brief Explanation of Integration Schemes",
+    howpublished = "\url{http://goo.gl/HRssYN}"
+}
+
+@online{ptf-rk4,
+    author = "Wikipedia",
+    title  = "The Runge-Kutta method",
+    howpublished = "\url{https://goo.gl/UHTD8S}"
+}
+
+@online{ptf-verlet,
+    author = "Wikipedia",
+    title  = "Verlet integration",
+    howpublished = "\url{https://goo.gl/Q6giDh}"
+}
+
+@online{ptf-collision-detection,
+    author = "GameAlchemist, StackExchange",
+    title  = "Collision between {AABB} and Circle",
+    howpublished = "\url{http://goo.gl/7E84Ef}"
+}
+
+@online{ptf-collision-response,
+    author = "Randy Gaul",
+    title  = "How to Create a Custom 2D Physics Engine: The Basics and Impulse Resolution",
+    howpublished = "\url{http://goo.gl/G0gdWU}"
+}
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diff --git a/docs/rapports/rapport-initial-delabre/rapport.out b/docs/rapports/rapport-initial-delabre/rapport.out
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--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/rapport.out
@@ -0,0 +1,22 @@
+\BOOKMARK [0][-]{chapter*.2}{Introduction}{}% 1
+\BOOKMARK [0][-]{chapter.1}{Jeu de la vie}{}% 2
+\BOOKMARK [1][-]{section.1.1}{Principes}{chapter.1}% 3
+\BOOKMARK [1][-]{section.1.2}{Mod\351lisation}{chapter.1}% 4
+\BOOKMARK [1][-]{section.1.3}{Algorithmes}{chapter.1}% 5
+\BOOKMARK [1][-]{section.1.4}{Sp\351cifications}{chapter.1}% 6
+\BOOKMARK [1][-]{section.1.5}{Organisation}{chapter.1}% 7
+\BOOKMARK [0][-]{chapter.2}{Jeu de go}{}% 8
+\BOOKMARK [1][-]{section.2.1}{Principes}{chapter.2}% 9
+\BOOKMARK [1][-]{section.2.2}{Mod\351lisation}{chapter.2}% 10
+\BOOKMARK [1][-]{section.2.3}{Algorithmes}{chapter.2}% 11
+\BOOKMARK [1][-]{section.2.4}{Sp\351cifications}{chapter.2}% 12
+\BOOKMARK [1][-]{section.2.5}{Organisation}{chapter.2}% 13
+\BOOKMARK [0][-]{chapter.3}{Jeu de plateformes coop\351ratif}{}% 14
+\BOOKMARK [1][-]{section.3.1}{Principes}{chapter.3}% 15
+\BOOKMARK [1][-]{section.3.2}{Mod\351lisation}{chapter.3}% 16
+\BOOKMARK [1][-]{section.3.3}{Algorithmes}{chapter.3}% 17
+\BOOKMARK [1][-]{section.3.4}{Sp\351cifications}{chapter.3}% 18
+\BOOKMARK [1][-]{section.3.5}{Organisation}{chapter.3}% 19
+\BOOKMARK [0][-]{chapter*.3}{\311tude comparative}{}% 20
+\BOOKMARK [0][-]{chapter*.4}{Conclusion}{}% 21
+\BOOKMARK [0][-]{section*.5}{Webographie}{}% 22
diff --git a/docs/rapports/rapport-initial-delabre/rapport.pdf b/docs/rapports/rapport-initial-delabre/rapport.pdf
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diff --git a/docs/rapports/rapport-initial-delabre/rapport.tex b/docs/rapports/rapport-initial-delabre/rapport.tex
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+++ b/docs/rapports/rapport-initial-delabre/rapport.tex
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+\documentclass{report}
+
+% Packages basiques
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{lmodern}
+\usepackage[french]{babel}
+\usepackage{hyperref}
+
+% Dessins
+\usepackage{wrapfig}
+\usepackage{tikz}
+\usetikzlibrary{3d}
+\usepackage{gantt}
+\usepackage{tikz-uml}
+\usepackage{xifthen}
+
+% Couleurs personnalisées
+\definecolor{matred}{RGB}{239,83,80}
+\definecolor{matgreen}{RGB}{156,204,101}
+\definecolor{matblue}{RGB}{41,182,246}
+\definecolor{matyellow}{RGB}{255,235,59}
+\definecolor{matblack}{RGB}{33,33,33}
+\definecolor{matgray}{RGB}{224,224,224}
+\definecolor{matbrown}{RGB}{78,52,46}
+
+% Noms personnalisés
+\addto{\captionsfrench}{\renewcommand{\chaptername}{Jeu}}
+\addto{\captionsfrench}{\renewcommand{\bibname}{Webographie}}
+
+\begin{document}
+
+% Page de garde
+\title{Rapport pour le projet C.M.I.}
+\date{29 février 2016}
+\author{Mattéo \textsc{Delabre}\\Groupe 1A1}
+\maketitle
+
+% Table des matières
+\setcounter{tocdepth}{1}
+\tableofcontents
+
+\setlength{\parskip}{0.4cm plus4mm minus3mm}
+
+% Sous-parties
+\include{./parts/intro}
+\include{./parts/life}
+\include{./parts/go}
+\include{./parts/ptf}
+\include{./parts/cmp}
+\include{./parts/conclu}
+
+% Bibliographie
+\cleardoublepage
+\phantomsection
+\addcontentsline{toc}{chapter}{Webographie}
+\bibliographystyle{unsrt}
+\bibliography{rapport}
+
+\end{document}
diff --git a/docs/rapports/rapport-initial-delabre/rapport.toc b/docs/rapports/rapport-initial-delabre/rapport.toc
new file mode 100644
index 0000000..e24552d
--- /dev/null
+++ b/docs/rapports/rapport-initial-delabre/rapport.toc
@@ -0,0 +1,38 @@
+\select@language {french}
+\contentsline {chapter}{Introduction}{2}{chapter*.2}
+\contentsline {chapter}{\numberline {1}Jeu de la vie}{3}{chapter.1}
+\contentsline {section}{\numberline {1.1}Principes}{3}{section.1.1}
+\contentsline {section}{\numberline {1.2}Mod\IeC {\'e}lisation}{5}{section.1.2}
+\contentsline {section}{\numberline {1.3}Algorithmes}{5}{section.1.3}
+\contentsline {section}{\numberline {1.4}Sp\IeC {\'e}cifications}{6}{section.1.4}
+\contentsline {subsection}{\numberline {1.4.1}Version initiale}{6}{subsection.1.4.1}
+\contentsline {subsection}{\numberline {1.4.2}Am\IeC {\'e}liorations possibles}{6}{subsection.1.4.2}
+\contentsline {section}{\numberline {1.5}Organisation}{7}{section.1.5}
+\contentsline {chapter}{\numberline {2}Jeu de go}{8}{chapter.2}
+\contentsline {section}{\numberline {2.1}Principes}{8}{section.2.1}
+\contentsline {subsection}{\numberline {2.1.1}Mat\IeC {\'e}riel}{8}{subsection.2.1.1}
+\contentsline {subsection}{\numberline {2.1.2}R\IeC {\`e}gles}{8}{subsection.2.1.2}
+\contentsline {subsection}{\numberline {2.1.3}Fin du jeu}{9}{subsection.2.1.3}
+\contentsline {section}{\numberline {2.2}Mod\IeC {\'e}lisation}{9}{section.2.2}
+\contentsline {section}{\numberline {2.3}Algorithmes}{10}{section.2.3}
+\contentsline {section}{\numberline {2.4}Sp\IeC {\'e}cifications}{11}{section.2.4}
+\contentsline {subsection}{\numberline {2.4.1}Version initiale}{11}{subsection.2.4.1}
+\contentsline {subsection}{\numberline {2.4.2}Am\IeC {\'e}liorations possibles}{12}{subsection.2.4.2}
+\contentsline {section}{\numberline {2.5}Organisation}{12}{section.2.5}
+\contentsline {chapter}{\numberline {3}Jeu de plateformes coop\IeC {\'e}ratif}{13}{chapter.3}
+\contentsline {section}{\numberline {3.1}Principes}{13}{section.3.1}
+\contentsline {subsection}{\numberline {3.1.1}Joueurs}{14}{subsection.3.1.1}
+\contentsline {subsection}{\numberline {3.1.2}Cam\IeC {\'e}ra}{14}{subsection.3.1.2}
+\contentsline {subsection}{\numberline {3.1.3}Blocs}{14}{subsection.3.1.3}
+\contentsline {section}{\numberline {3.2}Mod\IeC {\'e}lisation}{15}{section.3.2}
+\contentsline {section}{\numberline {3.3}Algorithmes}{16}{section.3.3}
+\contentsline {subsection}{\numberline {3.3.1}Physique}{16}{subsection.3.3.1}
+\contentsline {subsection}{\numberline {3.3.2}Dessin}{17}{subsection.3.3.2}
+\contentsline {subsection}{\numberline {3.3.3}Moteur}{17}{subsection.3.3.3}
+\contentsline {section}{\numberline {3.4}Sp\IeC {\'e}cifications}{17}{section.3.4}
+\contentsline {subsection}{\numberline {3.4.1}Version initiale}{17}{subsection.3.4.1}
+\contentsline {subsection}{\numberline {3.4.2}Am\IeC {\'e}liorations possibles}{19}{subsection.3.4.2}
+\contentsline {section}{\numberline {3.5}Organisation}{19}{section.3.5}
+\contentsline {chapter}{\IeC {\'E}tude comparative}{21}{chapter*.3}
+\contentsline {chapter}{Conclusion}{22}{chapter*.4}
+\contentsline {chapter}{Webographie}{23}{section*.5}
diff --git a/docs/rapports/rapport-initial-delabre/rapport.zip b/docs/rapports/rapport-initial-delabre/rapport.zip
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