<h1 id="règles-du-simulateur">Règles du simulateur</h1>
<ul>
<li>Le domaine de jeu est rectangulaire et défini par une largeur et une hauteur fixes.</li>
<li>Sur ce domaine, sont présentes des particules de nourriture qui sont caractérisées uniquement par leur position. Si une cellule rencontre une particule de nourriture, la cellule gagne en masse et la particule disparait du domaine. La quantité de nourriture initiale est définie au début du programme. Selon une probabilité donnée, la nourriture “réapparaît” sur des points aléatoires du domaine.</li>
<li>Sur ce domaine, sont présentes des particules de nourriture qui sont caractérisées uniquement par leur position (taille = 1). Si une cellule rencontre une particule de nourriture, la cellule gagne en masse et la particule disparait du domaine. La quantité de nourriture initiale est définie au début du programme. Selon une probabilité donnée, la nourriture “réapparaît” sur des points aléatoires du domaine.</li>
<li>Chaque cellule est définie par un état (“morte” ou “vivante”), une couleur (fixe tout au long de la vie de la cellule), une direction de déplacement, une position sur le domaine de jeu et une masse (initialement comprise entre 5 et 8). De cette masse, sont déduits le rayon du disque la représentant graphiquement et sa vitesse de déplacement. Elle se déplace de manière aléatoire dans une direction donnée, selon les huit points cardinaux principaux, et change de direction après un certain temps, de manière aléatoire également. Si son centre entre en collision avec les bords du domaine de jeu, elle doit rebondir (voir explications plus bas). Si elle mange une particule de nourriture, elle gagne une unité de masse, mais perds en vitesse. Elle ne peut augmenter que d’une unité à la fois, c’est à dire manger une seule particule de nourriture à chaque déplacement. Si elle mange une autre cellule, elle récupère la masse de cette dernière. Si elle est mangée par une autre cellule, son état passe à “mort” et au bout d’un certain temps, elle réapparaît sur le domaine, de manière analogue aux conditions initiales. La hauteur du domaine de jeu représentera également la masse maximale d’une cellule.</li>
</ul>
<h2 id="relations-entre-masse-rayon-et-vitesse-des-cellules">Relations entre masse, rayon et vitesse des cellules</h2>
<p>Pour ne pas faire “grossir” vos cellules trop rapidement, nous vous recommandons de déduire le rayon d’une cellule en fonction de sa masse par la fonction suivante :</p>
<p><span class="math display">\[r = 4 + 6 \sqrt{m}\]</span> où <span class="math inline">\(r\)</span> est le rayon et <span class="math inline">\(m\)</span> la masse.</p>
<p>De manière analogue, pour obtenir une vitesse inversement proportionnelle, mais lissée, en fonction de la masse, votre professeur de maths favori vous recommande d’utiliser la fonction sigmoïde suivante :</p>
<p><span class="math display">\[s = \alpha + \frac{\beta}{1 + e^{\gamma (m - \delta)}}\]</span> où <span class="math inline">\(s\)</span> est la vitesse et <span class="math inline">\(m\)</span> la masse.</p>
<p>La fig. 2 illustre cette fonction et ses paramètres.</p>
<p><span class="math display">\[s = \alpha + \frac{\beta}{1 + e^{\gamma (m - \delta)}}\]</span> où <span class="math inline">\(s\)</span> est la vitesse et <span class="math inline">\(m\)</span> la masse. La fig. 2 illustre cette fonction et ses paramètres. Vous pouvez utilisez les paramètres suivants : <span class="math inline">\(\alpha = 1, \beta = 18, \gamma = 0.2, \delta = 25\)</span></p>
<figure>
<img 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" alt="Figure 2: Graphe de la vitesse en fonction de la masse" id="fig:speed" style="width:75.0%" /><figcaption>Figure 2: Graphe de la vitesse en fonction de la masse</figcaption>
