This commit is contained in:
Maëlle B 2016-03-20 12:52:14 +01:00
commit 81924e6fdb
42 changed files with 481 additions and 4114 deletions

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*~ *~
CMakeFiles CMakeFiles
CMakeCache.txt CMakeCache.txt
Makefile Makefile
ptf ptf
cmake_install.cmake cmake_install.cmake
*.aux
*.bbl
*.blg
*.out
*.toc
*.fdb_latexmk
*.fls
*.log
*.synctex.gz

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# projet-cmi <div align="center">
Projet CMI <img src="https://cdn.rawgit.com/matteodelabre/projet-cmi/master/docs/screenshots/02.png" alt="Capture d'écran du jeu" />
<h1>projet-cmi</h1>
</div>
Arborescence : Arborescence :

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\documentclass[tikz,border=30pt]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{tikz}
\usepackage{tikz-uml}
\usepackage[french]{babel}
\begin{document}
\begin{tikzpicture}
\umlclass[x=6]{Engine}{
clock : horloge\\
state : \texttt{EngineState}
}{
update() : vide\\
draw() : vide\\
start() : vide\\
addObject(objet : \texttt{Object}) : vide
}
\umlclass{EngineState}{
objects : tableau d'\texttt{Object}\\
keys : tableau de booléens\\
delta : flottant
}{}
\umlabstract[y=-5.5]{Object}{
acceleration : vecteur\\
velocity : vecteur\\
position : vecteur\\
mass : flottant\\
charge : flottant\\
restitution : flottant\\
layer : entier
}{
\umlvirt{draw() : vide}\\
\umlvirt{getForces(état : \texttt{EngineState}) : vecteur}\\
\umlvirt{update(état : \texttt{EngineState}) : vide}\\
\umlvirt{getAABB() : boîte}\\
\umlvirt{getCollisionInfo(balle : \texttt{Ball}) : vecteur, flottant}\\
\umlvirt{getCollisionInfo(bloc : \texttt{Block}) : vecteur, flottant}\\
collide(objet : \texttt{Object}) : vide
}
\umlclass[y=-11,x=4]{Ball}{}{
getForces(état : \texttt{EngineState}) : vecteur\\
draw() : vide\\
getAABB() : boîte\\
getCollisionInfo(balle : \texttt{Ball}) : vecteur, flottant\\
getCollisionInfo(bloc : \texttt{Block}) : vecteur, flottant
}
\umlclass[y=-11,x=-4]{Block}{}{
draw() : vide\\
getAABB() : boîte\\
getCollisionInfo(balle : \texttt{Ball}) : vecteur, flottant\\
getCollisionInfo(bloc : \texttt{Block}) : vecteur, flottant
}
\umlunicompo{EngineState}{Object}
\umluniassoc{Engine}{EngineState}
\umlinherit{Object}{Block}
\umlinherit{Object}{Ball}
\end{tikzpicture}
\end{document}

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\documentclass[tikz,border=30pt]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{tikz}
\usepackage{gantt}
\usepackage[french]{babel}
\begin{document}
\begin{gantt}{21}{20}
\begin{ganttitle}
\titleelement{Semaine 1 : 04/03 - 10/03}{4}
\titleelement{Semaine 2 : 11/03 - 17/03}{4}
\titleelement{Semaine 3 : 18/03 - 24/03}{4}
\titleelement{Semaine 4 : 25/03 - 31/03}{4}
\titleelement{Semaine 5 : 01/04 - 08/04}{4}
\end{ganttitle}
\ganttgroup{Moteur physique}{0}{12}
\ganttbar[color=red,pattern=north east lines]{Organisation des classes}{0}{6}
\ganttbar[color=green,pattern=north east lines]{Gestion de l'affichage}{0}{8}
\ganttbar[color=red,pattern=north east lines]{Implémentation des forces}{0}{8}
\ganttbar[color=red,pattern=north east lines]{Gestion des collisions}{4}{6}
\ganttbar[color=cyan,pattern=north east lines]{Tests du moteur}{4}{8}
\ganttgroup{Niveaux du jeu}{6}{14}
\ganttbar[color=cyan,pattern=north east lines]{Définition du format de fichier}{6}{2}
\ganttbar[color=red,pattern=north east lines]{Lecture et écriture du format}{8}{4}
\ganttbar[color=red,pattern=north east lines]{Création de l'éditeur}{8}{4}
\ganttbar{Niveau de test}{10}{2}
\ganttbar{Conception des niveaux}{12}{4}
\ganttbar{Tests des niveaux}{16}{4}
\ganttgroup{Univers graphique}{8}{12}
\ganttbar[color=cyan,pattern=north east lines]{Recherche des musiques}{8}{8}
\ganttbar[color=green,pattern=north east lines]{Conception des textures}{8}{12}
\ganttbar{Menus et interface du jeu}{12}{4}
\ganttmilestone{Figeage des fonctionnalités}{16}
\ganttbarcon{Tests finaux}{16}{4}
\ganttbar{Rapport}{16}{4}
\end{gantt}
\hfill\\
\hfill\\
Légende du document~:
\begin{itemize}
\item Vert~: tâches affectées à Maëlle~;
\item Cyan~: tâches affectées à Rémi~;
\item Rouge~: tâches affectées à Mattéo~;
\item Hachures nord-est~: tâches affectées~;
\item Hachures nord-ouest~: tâches non-affectées.
\end{itemize}
\end{document}

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# format-sauvegarde-fichier
## En-tête du niveau (84 octets en moyenne)
* Signature (3 octets : BRT)
* Version (1 octet : départ à 0)
* Titre du niveaux (n octets de texte + 1 octet nul).
* (Numéro du niveau).
* Position de départ (1 octet pour le nombre de balles + 8 octets par position).
* Zone de mort (1 octet pour le nombre de points de contrôle + 8 octets par point).
* Musique (n octets de texte + 1 octet nul).
* Fond principal (n octets de texte + 1 octet nul).
## Contenu
* Boucle sur chaque bloc et donne le type et la position.
* Adresse Fond principal.
* Adresse position et couches des objets de décor.

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\relax
\catcode `:\active
\catcode `;\active
\catcode `!\active
\catcode `?\active
\select@language{french}
\@writefile{toc}{\select@language{french}}
\@writefile{lof}{\select@language{french}}
\@writefile{lot}{\select@language{french}}

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\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 : laffrontement 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}.
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@ -1,22 +0,0 @@
\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

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@ -1,38 +0,0 @@
\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}

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@ -9,7 +9,7 @@
class Ball : public Object { class Ball : public Object {
private: private:
sf::Texture texture; sf::Texture texture;
sf::CircleShape shape; sf::RectangleShape shape;
protected: protected:
/** /**
@ -31,11 +31,17 @@ public:
std::unique_ptr<sf::FloatRect> getAABB(); std::unique_ptr<sf::FloatRect> getAABB();
/** /**
* Calcule la normale de la collision de cet objet avec un autre * Calcule les informations sur une éventuelle collision de
* cet objet avec un autre : la normale et la profondeur
*/ */
virtual bool getNormal(Object& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth);
virtual bool getNormal(Ball& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Ball& obj, sf::Vector2f& normal, float& depth);
virtual bool getNormal(Block& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Block& obj, sf::Vector2f& normal, float& depth);
/**
* Renvoie le rayon de la balle
*/
float getRadius();
}; };
#endif #endif

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@ -25,11 +25,12 @@ public:
std::unique_ptr<sf::FloatRect> getAABB(); std::unique_ptr<sf::FloatRect> getAABB();
/** /**
* Calcule la normale de la collision de cet objet avec un autre * Calcule les informations sur une éventuelle collision de
* cet objet avec un autre : la normale et la profondeur
*/ */
virtual bool getNormal(Object& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth);
virtual bool getNormal(Ball& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Ball& obj, sf::Vector2f& normal, float& depth);
virtual bool getNormal(Block& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Block& obj, sf::Vector2f& normal, float& depth);
}; };
#endif #endif

View File

@ -7,14 +7,14 @@ namespace Constants {
* pour le calcul de l'attraction coulombienne entre * pour le calcul de l'attraction coulombienne entre
* deux objets * deux objets
*/ */
static constexpr float ATTRACTION = 2000; static constexpr float ATTRACTION = 2000000;
/** /**
* Constante de déplacement. Définit la quantité de * Constante de déplacement. Définit la quantité de
* mouvement qui est donnée à un objet lorsqu'il * mouvement qui est donnée à un objet lorsqu'il
* est manipulé manuellement par le joueur * est manipulé manuellement par le joueur
*/ */
static constexpr float MOVE = 100; static constexpr float MOVE = 200;
/** /**
* Constante de gravité. Utilisée dans la formule * Constante de gravité. Utilisée dans la formule
@ -22,12 +22,50 @@ namespace Constants {
* uniformément vers le bas de la fenêtre sur tous * uniformément vers le bas de la fenêtre sur tous
* les objets * les objets
*/ */
static constexpr float GRAVITY = 200; static constexpr float GRAVITY = 235;
/** /**
* Taille de la grille des blocs en pixels * Taille de la grille des blocs en pixels
*/ */
static constexpr float GRID = 32; static constexpr float GRID = 32;
/**
* Activation du débogage (affichage des vecteurs)
*/
static constexpr bool DEBUG_MODE = false;
/**
* Durée fixe d'une étape de simulation physique
*/
static constexpr float PHYSICS_TIME = 1.f / 60;
/**
* Correction positionnelle : pourcentage de correction
* et seuil de correction
*/
static constexpr float CORRECTION_PERCENTAGE = 1;
static constexpr float CORRECTION_THRESHOLD = .0001f;
/**
* Masse par défaut d'un objet
*/
static constexpr float DEFAULT_MASS = 1.f;
/**
* Charge par défaut d'un objet
*/
static constexpr float DEFAULT_CHARGE = 0.f;
/**
* Coefficient de restitution par défaut
*/
static constexpr float DEFAULT_RESTITUTION = 0.4f;
/**
* Couche par défaut d'affichage d'un objet
* (peut être modifié objet par objet)
*/
static constexpr int DEFAULT_LAYER = 10;
} }
#endif #endif

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@ -16,9 +16,8 @@ class Object;
struct EngineState { struct EngineState {
std::vector<Object*> objects; std::vector<Object*> objects;
std::array<bool, sf::Keyboard::KeyCount> keys; std::array<bool, sf::Keyboard::KeyCount> keys;
float delta;
EngineState() : delta(0.f) { EngineState() {
// aucune touche n'est enfoncée au démarrage // aucune touche n'est enfoncée au démarrage
keys.fill(false); keys.fill(false);
} }

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@ -49,11 +49,19 @@ public:
virtual std::unique_ptr<sf::FloatRect> getAABB() = 0; virtual std::unique_ptr<sf::FloatRect> getAABB() = 0;
/** /**
* Calcule la normale de la collision de cet objet avec un autre * Calcule les informations sur une éventuelle collision de
* cet objet avec un autre : la normale et la profondeur
*/ */
virtual bool getNormal(Object& obj, sf::Vector2f& normal); virtual bool getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth);
virtual bool getNormal(Ball& obj, sf::Vector2f& normal) = 0; virtual bool getCollisionInfo(Ball& obj, sf::Vector2f& normal, float& depth) = 0;
virtual bool getNormal(Block& obj, sf::Vector2f& normal) = 0; virtual bool getCollisionInfo(Block& obj, sf::Vector2f& normal, float& depth) = 0;
/**
* Détecte s'il y a collision entre cet objet
* et l'objet passé en paramètre et résoud la collision
* si elle a lieu
*/
void collide(Object& obj);
/** /**
* Récupère l'accélération de l'objet * Récupère l'accélération de l'objet
@ -76,6 +84,12 @@ public:
*/ */
sf::Vector2f getPosition(); sf::Vector2f getPosition();
/**
* Modifie la position de l'objet
* (à utiliser avec précaution, préférer modifier les forces)
*/
void setPosition(sf::Vector2f set_position);
/** /**
* Récupère la masse de l'objet * Récupère la masse de l'objet
*/ */

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@ -2,9 +2,11 @@
#include "block.hpp" #include "block.hpp"
#include "constants.hpp" #include "constants.hpp"
#include <array> #include <array>
#include <iostream>
Ball::Ball(float x, float y) : Object(x, y), shape(10) { Ball::Ball(float x, float y) : Object(x, y),
shape.setOrigin(sf::Vector2f(10, 10)); shape(sf::Vector2f(2 * getRadius(), 2 * getRadius())) {
shape.setOrigin(sf::Vector2f(getRadius(), getRadius()));
} }
sf::Vector2f Ball::getForces(EngineState& state) { sf::Vector2f Ball::getForces(EngineState& state) {
@ -19,39 +21,6 @@ sf::Vector2f Ball::getForces(EngineState& state) {
forces += sf::Vector2f(Constants::MOVE, 0); forces += sf::Vector2f(Constants::MOVE, 0);
} }
// force d'attraction entre les balles et les blocs chargés
if (getCharge() != 0) {
for (unsigned int j = 0; j < state.objects.size(); j++) {
Object *attractive = state.objects[j];
if (attractive == this || attractive->getCharge() == 0) {
continue;
}
// vecteur allant de l'objet attirant vers l'objet considéré
sf::Vector2f attraction(getPosition() - attractive->getPosition());
// la norme de ce vecteur est la distance entre les objets
float distanceSquared = attraction.x * attraction.x +
attraction.y * attraction.y;
// éviter la division par zéro
if (distanceSquared == 0) {
continue;
}
// normalisation du vecteur direction qui porte
// la force d'attraction, puis application de la norme
attraction /= std::sqrt(distanceSquared);
attraction *= Constants::ATTRACTION * (
(getCharge() * attractive->getCharge()) /
distanceSquared
);
forces += attraction;
}
}
return forces; return forces;
} }
@ -63,6 +32,7 @@ void Ball::draw(sf::RenderWindow& window) {
// erreur // erreur
} }
shape.rotate(getVelocity().x * .1f);
shape.setTexture(&texture); shape.setTexture(&texture);
shape.setPosition(getPosition()); shape.setPosition(getPosition());
window.draw(shape); window.draw(shape);
@ -70,24 +40,24 @@ void Ball::draw(sf::RenderWindow& window) {
std::unique_ptr<sf::FloatRect> Ball::getAABB() { std::unique_ptr<sf::FloatRect> Ball::getAABB() {
return std::unique_ptr<sf::FloatRect>(new sf::FloatRect( return std::unique_ptr<sf::FloatRect>(new sf::FloatRect(
getPosition().x - 10, getPosition().x - getRadius(),
getPosition().y - 10, getPosition().y - getRadius(),
20, 20 2 * getRadius(), 2 * getRadius()
)); ));
} }
bool Ball::getNormal(Object& obj, sf::Vector2f& normal) { bool Ball::getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth) {
return obj.getNormal(*this, normal); return obj.getCollisionInfo(*this, normal, depth);
} }
bool Ball::getNormal(Ball& obj, sf::Vector2f& normal) { bool Ball::getCollisionInfo(Ball& obj, sf::Vector2f& normal, float& depth) {
sf::Vector2f dir = obj.getPosition() - getPosition(); sf::Vector2f dir = getPosition() - obj.getPosition();
float squaredLength = dir.x * dir.x + dir.y * dir.y; float squaredLength = dir.x * dir.x + dir.y * dir.y;
float totalRadius = getRadius() + obj.getRadius();
// TODO: supprimer les valeurs magiques
// si les deux balles sont à une distance supérieure // si les deux balles sont à une distance supérieure
// à la somme de leurs deux rayons, il n'y a pas eu collision // à la somme de leurs deux rayons, il n'y a pas eu collision
if (squaredLength > 20 * 20) { if (squaredLength > totalRadius * totalRadius) {
return false; return false;
} }
@ -96,17 +66,19 @@ bool Ball::getNormal(Ball& obj, sf::Vector2f& normal) {
// les balles sont sur la même position. // les balles sont sur la même position.
// Renvoie une normale apte à séparer les deux balles // Renvoie une normale apte à séparer les deux balles
if (length == 0) { if (length == 0) {
depth = totalRadius;
normal.x = 0; normal.x = 0;
normal.y = -1; normal.y = -1;
return true; return true;
} }
// il y a eu collision // il y a eu collision
depth = totalRadius - length;
normal = dir / length; normal = dir / length;
return true; return true;
} }
bool Ball::getNormal(Block& obj, sf::Vector2f& normal) { bool Ball::getCollisionInfo(Block& obj, sf::Vector2f& normal, float& depth) {
// recherche du point le plus proche du centre de la // recherche du point le plus proche du centre de la
// balle sur le bloc. On regarde la position relative // balle sur le bloc. On regarde la position relative
// du cercle par rapport au bloc // du cercle par rapport au bloc
@ -161,15 +133,19 @@ bool Ball::getNormal(Block& obj, sf::Vector2f& normal) {
sf::Vector2f prenormal = relpos - closest; sf::Vector2f prenormal = relpos - closest;
float squaredLength = prenormal.x * prenormal.x + prenormal.y * prenormal.y; float squaredLength = prenormal.x * prenormal.x + prenormal.y * prenormal.y;
// TODO: supprimer les valeurs magiques
// si la balle est à l'extérieur et que // si la balle est à l'extérieur et que
// la normale est plus longue que son rayon, // la normale est plus longue que son rayon,
// il n'y a pas collision // il n'y a pas collision
if (!isInside && squaredLength > 20 * 20) { if (!isInside && squaredLength >= getRadius() * getRadius()) {
return false; return false;
} }
normal = prenormal / std::sqrt(squaredLength); float length = std::sqrt(squaredLength);
depth = getRadius() - length;
if (length != 0) {
normal = prenormal / length;
}
if (isInside) { if (isInside) {
normal *= -1.f; normal *= -1.f;
@ -177,3 +153,7 @@ bool Ball::getNormal(Block& obj, sf::Vector2f& normal) {
return true; return true;
} }
float Ball::getRadius() {
return 10 * getMass();
}

View File

@ -41,16 +41,51 @@ std::unique_ptr<sf::FloatRect> Block::getAABB() {
)); ));
} }
bool Block::getNormal(Object& obj, sf::Vector2f& normal) { bool Block::getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth) {
return obj.getNormal(*this, normal); return obj.getCollisionInfo(*this, normal, depth);
} }
bool Block::getNormal(Ball& obj, sf::Vector2f& normal) { bool Block::getCollisionInfo(Ball& obj, sf::Vector2f& normal, float& depth) {
// TODO: coder cette fonction // la collision Block -> Ball est la collision Ball -> Block
return false; // avec une normale de collision retournée
bool result = obj.getCollisionInfo(*this, normal, depth);
normal *= -1.f;
return result;
} }
bool Block::getNormal(Block& obj, sf::Vector2f& normal) { bool Block::getCollisionInfo(Block& obj, sf::Vector2f& normal, float& depth) {
// TODO: coder cette fonction std::unique_ptr<sf::FloatRect> aabb = getAABB();
std::unique_ptr<sf::FloatRect> obj_aabb = obj.getAABB();
sf::Vector2f relpos = getPosition() - obj.getPosition();
float overlap_x = aabb->width / 2 + obj_aabb->width / 2 - std::abs(relpos.x);
float overlap_y = aabb->height / 2 + obj_aabb->height / 2 - std::abs(relpos.y);
// si il n'y a pas de chauvauchement sur l'axe X et Y, pas de collision
if (overlap_x <= 0 || overlap_y <= 0) {
return false; return false;
}
// on choisit l'axe de pénétration maximale pour calculer la normale
if (overlap_x < overlap_y) {
if (relpos.x < 0) {
normal.x = -1;
} else {
normal.x = 1;
}
normal.y = 0;
depth = overlap_x;
} else {
if (relpos.y < 0) {
normal.y = -1;
} else {
normal.y = 1;
}
normal.x = 0;
depth = overlap_y;
}
return true;
} }

View File

@ -1,9 +1,10 @@
#include "engine.hpp" #include "engine.hpp"
#include "constants.hpp"
#include <cmath> #include <cmath>
#include <queue> #include <queue>
Engine::Engine() : window( Engine::Engine() : window(
sf::VideoMode(400, 300), "Projet CMI", sf::VideoMode(704, 480), "Projet CMI",
sf::Style::Default & ~sf::Style::Resize, sf::Style::Default & ~sf::Style::Resize,
sf::ContextSettings(0, 0, 2) sf::ContextSettings(0, 0, 2)
) { ) {
@ -11,6 +12,8 @@ Engine::Engine() : window(
} }
void Engine::start() { void Engine::start() {
float accumulator = 0;
// boucle d'événements sur la fenêtre // boucle d'événements sur la fenêtre
while (window.isOpen()) { while (window.isOpen()) {
sf::Event event; sf::Event event;
@ -32,9 +35,16 @@ void Engine::start() {
} }
} }
state.delta = clock.restart().asSeconds(); float frame = clock.restart().asSeconds();
accumulator += frame;
// tant qu'il reste du temps à passer,
// effectuer la simulation physique étape par étape
while (accumulator >= Constants::PHYSICS_TIME) {
accumulator -= Constants::PHYSICS_TIME;
update(); update();
}
draw(); draw();
} }
} }
@ -55,56 +65,7 @@ void Engine::update() {
for (unsigned int j = i + 1; j < state.objects.size(); j++) { for (unsigned int j = i + 1; j < state.objects.size(); j++) {
Object* objB = state.objects[j]; Object* objB = state.objects[j];
objA->collide(*objB);
// si les objets ne sont pas sur la même couche,
// ils ne peuvent pas entrer en collision
if (objA->getLayer() != objB->getLayer()) {
continue;
}
// si les deux boîtes englobantes des deux objets,
// il ne risque pas d'y avoir de collision
if (!objA->getAABB()->intersects(*objB->getAABB())) {
continue;
}
sf::Vector2f normal;
// vérifie plus finement s'il y a collision et
// calcule la normale
if (!objA->getNormal(*objB, normal)) {
continue;
}
sf::Vector2f codir = objB->getVelocity() - objA->getVelocity();
float dotnormal = codir.x * normal.x + codir.y * normal.y;
// si les directions sont divergentes, pas besoin
// de résoudre la collision
if (dotnormal >= 0) {
continue;
}
float restitution = std::min(objA->getRestitution(), objB->getRestitution());
// calcul de l'inverse des masses de A et B. Pour rappel,
// une masse infinie est modélisée par 0, donc l'inverse
// d'une telle masse est nul
float invMassA = objA->getMass();
float invMassB = objB->getMass();
if (invMassA != 0) {
invMassA = 1.f / invMassA;
}
if (invMassB != 0) {
invMassB = 1.f / invMassB;
}
// calcule et applique l'impulsion de résolution de la collision
float impulse = (-(1 + restitution) * dotnormal) / (invMassA + invMassB);
objA->setVelocity(objA->getVelocity() - invMassA * impulse * normal);
objB->setVelocity(objB->getVelocity() + invMassB * impulse * normal);
} }
} }
} }

View File

@ -7,30 +7,60 @@
int main() { int main() {
Engine engine; Engine engine;
Ball ball(3 * Constants::GRID, 1 * Constants::GRID); Ball ball1(3.5f * Constants::GRID, 10 * Constants::GRID);
Block block1(3 * Constants::GRID, 6 * Constants::GRID); Ball ball2(18.5f * Constants::GRID, 10 * Constants::GRID);
Block block2(3 * Constants::GRID, 7 * Constants::GRID); Block block01(2 * Constants::GRID, 10 * Constants::GRID);
Block block3(4 * Constants::GRID, 7 * Constants::GRID); Block block02(2 * Constants::GRID, 11 * Constants::GRID);
Block block4(5 * Constants::GRID, 7 * Constants::GRID); Block block03(3 * Constants::GRID, 11 * Constants::GRID);
Block block5(6 * Constants::GRID, 7 * Constants::GRID); Block block04(4 * Constants::GRID, 11 * Constants::GRID);
Block block6(7 * Constants::GRID, 7 * Constants::GRID); Block block05(5 * Constants::GRID, 11 * Constants::GRID);
Block block7(8 * Constants::GRID, 7 * Constants::GRID); Block block06(6 * Constants::GRID, 11 * Constants::GRID);
Block block8(9 * Constants::GRID, 7 * Constants::GRID); Block block07(7 * Constants::GRID, 11 * Constants::GRID);
Block block9(9 * Constants::GRID, 6 * Constants::GRID); Block block08(8 * Constants::GRID, 11 * Constants::GRID);
Block block09(9 * Constants::GRID, 11 * Constants::GRID);
Block block10(10 * Constants::GRID, 11 * Constants::GRID);
Block block11(11 * Constants::GRID, 11 * Constants::GRID);
Block block12(12 * Constants::GRID, 11 * Constants::GRID);
Block block13(13 * Constants::GRID, 11 * Constants::GRID);
Block block14(14 * Constants::GRID, 11 * Constants::GRID);
Block block15(15 * Constants::GRID, 11 * Constants::GRID);
Block block16(16 * Constants::GRID, 11 * Constants::GRID);
Block block17(17 * Constants::GRID, 11 * Constants::GRID);
Block block18(18 * Constants::GRID, 11 * Constants::GRID);
Block block19(19 * Constants::GRID, 11 * Constants::GRID);
Block block20(20 * Constants::GRID, 10 * Constants::GRID);
Block block21(20 * Constants::GRID, 11 * Constants::GRID);
Block block22(11 * Constants::GRID, 10 * Constants::GRID);
ball.setCharge(-2.f); ball1.setCharge(-.01f);
block5.setCharge(16.f); ball2.setCharge(-.01f);
block22.setCharge(1.f);
block22.setMass(2);
engine.addObject(block1); engine.addObject(ball1);
engine.addObject(block2); engine.addObject(ball2);
engine.addObject(block3); engine.addObject(block01);
engine.addObject(block4); engine.addObject(block02);
engine.addObject(block5); engine.addObject(block03);
engine.addObject(block6); engine.addObject(block04);
engine.addObject(block7); engine.addObject(block05);
engine.addObject(block8); engine.addObject(block06);
engine.addObject(block9); engine.addObject(block07);
engine.addObject(ball); engine.addObject(block08);
engine.addObject(block09);
engine.addObject(block10);
engine.addObject(block11);
engine.addObject(block12);
engine.addObject(block13);
engine.addObject(block14);
engine.addObject(block15);
engine.addObject(block16);
engine.addObject(block17);
engine.addObject(block18);
engine.addObject(block19);
engine.addObject(block20);
engine.addObject(block21);
engine.addObject(block22);
engine.start(); engine.start();
return 0; return 0;

View File

@ -5,7 +5,11 @@ Object::Object(float x, float y) :
acceleration(0, 0), velocity(0, 0), position(x, y), acceleration(0, 0), velocity(0, 0), position(x, y),
accelerationLine(sf::Lines, 2), accelerationLine(sf::Lines, 2),
velocityLine(sf::Lines, 2), velocityLine(sf::Lines, 2),
mass(1.f), inv_mass(1.f), charge(0.f), restitution(0.f), layer(10) {} mass(Constants::DEFAULT_MASS),
inv_mass(1.f / Constants::DEFAULT_MASS),
charge(Constants::DEFAULT_CHARGE),
restitution(Constants::DEFAULT_RESTITUTION),
layer(Constants::DEFAULT_LAYER) {}
sf::Vector2f Object::getForces(EngineState& state) { sf::Vector2f Object::getForces(EngineState& state) {
sf::Vector2f forces(0, 0); sf::Vector2f forces(0, 0);
@ -13,10 +17,44 @@ sf::Vector2f Object::getForces(EngineState& state) {
// force de gravité // force de gravité
forces += sf::Vector2f(0, Constants::GRAVITY); forces += sf::Vector2f(0, Constants::GRAVITY);
// force d'attraction entre objets chargés
if (getCharge() != 0) {
for (unsigned int j = 0; j < state.objects.size(); j++) {
Object *attractive = state.objects[j];
if (attractive == this || attractive->getCharge() == 0) {
continue;
}
// vecteur allant de l'objet attracteur vers l'objet actuel
sf::Vector2f attraction(getPosition() - attractive->getPosition());
// la norme de ce vecteur est la distance entre les objets
float distanceSquared = attraction.x * attraction.x +
attraction.y * attraction.y;
// éviter la division par zéro
if (distanceSquared == 0) {
continue;
}
// normalisation du vecteur direction qui porte
// la force d'attraction, puis application de la norme
attraction /= std::sqrt(distanceSquared);
attraction *= Constants::ATTRACTION * (
(getCharge() * attractive->getCharge()) /
distanceSquared
);
forces += attraction;
}
}
return forces; return forces;
} }
void Object::draw(sf::RenderWindow& window) { void Object::draw(sf::RenderWindow& window) {
if (Constants::DEBUG_MODE) {
velocityLine[0].position = position; velocityLine[0].position = position;
velocityLine[0].color = sf::Color::Green; velocityLine[0].color = sf::Color::Green;
velocityLine[1].position = position + velocity * 1.f; velocityLine[1].position = position + velocity * 1.f;
@ -29,6 +67,7 @@ void Object::draw(sf::RenderWindow& window) {
window.draw(velocityLine); window.draw(velocityLine);
window.draw(accelerationLine); window.draw(accelerationLine);
}
} }
void Object::update(EngineState& state) { void Object::update(EngineState& state) {
@ -41,15 +80,68 @@ void Object::update(EngineState& state) {
} }
// intégration de la vitesse dans la position // intégration de la vitesse dans la position
position += velocity * state.delta; position += velocity * Constants::PHYSICS_TIME;
// intégration des forces appliquées sur l'objet dans la vitesse // intégration des forces appliquées sur l'objet dans la vitesse
acceleration = getForces(state) / mass; acceleration = getForces(state) / mass;
velocity += acceleration * state.delta; velocity += acceleration * Constants::PHYSICS_TIME;
} }
bool Object::getNormal(Object& obj, sf::Vector2f& normal) { bool Object::getCollisionInfo(Object& obj, sf::Vector2f& normal, float& depth) {
return obj.getNormal(*this, normal); return obj.getCollisionInfo(*this, normal, depth);
}
void Object::collide(Object& obj) {
// si les objets ne sont pas sur la même couche,
// ils ne peuvent pas entrer en collision
if (getLayer() != obj.getLayer()) {
return;
}
// si les deux boîtes englobantes des deux objets, ne
// s'intersectent pas, il ne risque pas d'y avoir de collision
if (!getAABB()->intersects(*obj.getAABB())) {
return;
}
sf::Vector2f normal;
float depth;
// vérifie plus finement s'il y a collision et récupère
// les informations sur la collision (normale et profondeur)
if (!getCollisionInfo(obj, normal, depth)) {
return;
}
sf::Vector2f codir = obj.getVelocity() - getVelocity();
float dotnormal = codir.x * normal.x + codir.y * normal.y;
// si les directions sont divergentes, pas besoin
// de résoudre la collision
if (dotnormal >= 0) {
return;
}
// calcule et applique l'impulsion de résolution de la collision
float restitution = std::min(getRestitution(), obj.getRestitution());
float impulse = (-(1 + restitution) * dotnormal) /
(getMassInvert() + obj.getMassInvert());
setVelocity(getVelocity() - getMassInvert() * impulse * normal);
obj.setVelocity(obj.getVelocity() + obj.getMassInvert() * impulse * normal);
// correction de la position des objets. En raison de l'imprécision
// des flottants sur la machine, les objets peuvent accumuler une
// erreur de positionnement qui les fait "plonger" les un dans les autres.
if (depth <= Constants::CORRECTION_THRESHOLD) {
return;
}
sf::Vector2f positionCorrection = depth / (getMassInvert() +
obj.getMassInvert()) * Constants::CORRECTION_PERCENTAGE * normal;
setPosition(getPosition() - getMassInvert() * positionCorrection);
obj.setPosition(obj.getPosition() + obj.getMassInvert() * positionCorrection);
} }
sf::Vector2f Object::getAcceleration() { sf::Vector2f Object::getAcceleration() {
@ -68,6 +160,10 @@ sf::Vector2f Object::getPosition() {
return position; return position;
} }
void Object::setPosition(sf::Vector2f set_position) {
position = set_position;
}
float Object::getMass() { float Object::getMass() {
return mass; return mass;
} }