commit e0deb730ecb969a11d930c14a89a9b20708c434a
Author: Thomas Lavocat <thomas.lavocat@univ-grenoble-alpes.fr>
Date:   Mon Apr 3 09:33:50 2023 +0200

    princesse lactose: premier commit
    
    La princesse, saute, se déplace et s'amuse comme une folle.
    Les collisions ne marchent pas totalement bien.
    Ça s'améliorera au fil du temps.
    Grâce à git, les choses vont s'améliorer.

diff --git a/maps/map.json b/maps/map.json
new file mode 100644
index 0000000..81e4d22
--- /dev/null
+++ b/maps/map.json
@@ -0,0 +1 @@
+{"width":12,"height":16,"block_width":16,"block_height":16,"sprites":[0],"data":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}
\ No newline at end of file
diff --git a/maps/map2.json b/maps/map2.json
new file mode 100644
index 0000000..ba63c90
--- /dev/null
+++ b/maps/map2.json
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\ No newline at end of file
diff --git a/maps/mondenuages_0_0.json b/maps/mondenuages_0_0.json
new file mode 100644
index 0000000..d34cb51
--- /dev/null
+++ b/maps/mondenuages_0_0.json
@@ -0,0 +1 @@
+{"width":24,"height":16,"block_width":16,"block_height":16,"sprites":[0,"plateformes:1,3","plateformes:2,3","grimpables:1,3","plateformes:7,4","plateformes:9,3","plateformes:10,3","plateformes:15,3","plateformes:1,1","plateformes:3,1","plateformes:4,2","grimpables:1,2","plateformes:15,5","grimpables:1,1","plateformes:4,4","plateformes:0,7","plateformes:6,4","plateformes:12,4","grimpables:1,0","plateformes:3,3","plateformes:4,3","plateformes:5,3","plateformes:9,1","grimpables:0,3","grimpables:0,2","plateformes:2,2","plateformes:5,1","plateformes:4,1","plateformes:14,3","plateformes:0,4","plateformes:11,3","plateformes:12,3","flag","plateformes:13,3","grimpables:0,1","plateformes:9,4","plateformes:10,4","plateformes:11,4","plateformes:13,4","plateformes:15,4","grimpables:0,0"],"data":[0,0,0,0,1,2,3,3,3,3,3,4,5,6,7,0,0,0,0,0,0,0,5,6,8,9,9,4,9,10,11,11,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,3,0,10,13,11,11,11,11,14,0,0,0,0,0,0,0,15,16,0,0,0,17,0,7,11,0,10,18,18,18,18,19,20,21,0,0,0,0,0,0,22,23,0,0,0,17,0,17,3,0,10,2,1,2,19,10,20,20,0,0,0,0,0,0,0,24,0,0,0,17,0,17,3,0,25,25,25,10,10,10,20,20,21,0,0,0,0,0,0,24,0,0,0,17,0,17,11,0,4,9,15,26,26,16,27,27,26,0,0,0,0,0,0,24,0,0,0,17,0,17,3,0,3,0,0,0,0,0,0,0,5,7,0,0,0,0,0,24,0,0,0,17,0,17,3,0,11,0,0,0,0,0,0,0,0,0,5,7,0,0,0,24,0,0,0,17,0,17,3,0,13,0,0,0,0,0,0,0,0,0,0,0,5,28,7,24,0,0,0,17,0,17,3,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,17,0,17,11,0,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,17,0,17,13,0,0,0,0,0,0,0,0,0,0,0,0,29,5,6,7,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,6,30,31,7,32,0,0,0,24,0,0,0,0,0,0,0,0,0,5,6,30,31,33,7,0,0,0,0,0,0,0,0,34,0,0,0,0,0,0,5,6,7,35,36,37,17,38,39,0,0,0,0,0,0,0,0,40,5,5,6]}
\ No newline at end of file
diff --git a/ms/main.ms b/ms/main.ms
new file mode 100644
index 0000000..2cd71c9
--- /dev/null
+++ b/ms/main.ms
@@ -0,0 +1,101 @@
+init = function()
+  played_map = "map2"
+  mapw = 
+  maph = 
+  
+  princess = new Princess(0, 10, played_map)
+  prev_time = system.time()
+  prevx = 0
+  prevy = 0
+end
+
+
+
+update = function()
+  if not maps[played_map].ready then
+    return
+  end
+  now = system.time()
+  timedelta = now - prev_time
+  
+
+  princess.update_me()
+  
+  //----------------------------------------------------------------------------
+  //
+  // Gestion des inputs
+
+  wants_jump = keyboard.SPACE or gamepad.A
+  stop_jump = keyboard.release.SPACE or gamepad.release.A
+  wants_left = keyboard.LEFT or gamepad.LEFT_STICK_LEFT
+  wants_climb = keyboard.UP or gamepad.LEFT_STICK_UP
+  wants_right = keyboard.RIGHT or gamepad.LEFT_STICK_RIGHT
+  wants_crouch =  keyboard.DOWN or gamepad.LEFT_STICK_DOWN
+  wants_run = keyboard.SHIFT_LEFT or gamepad.X
+  wants_dash = keyboard.ALT_LEFT or gamepad.RT
+  
+  // Sauter n'est possible que si l'on est pas déjà en train de sauter et que 
+  // la princesse a les pieds au sol
+  /*
+  if (wants_jump and not princess_states.contains(JUMPING) and
+    (on_ground or on_climbable)) then
+    princess_states.push(JUMPING)
+  end
+  */
+  if wants_right then
+    princess.go_right()
+  else
+    princess.stop_going_right()
+  end
+  
+  if wants_left then
+    princess.go_left()
+  else
+    princess.stop_going_left()
+  end
+  
+  if wants_jump then
+    princess.do_jump()
+  end 
+  if stop_jump then
+    princess.stop_jump()  
+  end
+  
+  /*
+  if wants_run and not princess_states.contains(RUNNING) then
+    princess_states.push(RUNNING)
+  end
+  if not wants_run then
+    princess_states.removeElement(RUNNING)
+  end
+  
+  can_climbe = (on_climbable or heads_on_climbable)
+  if wants_climb and not princess_states.contains(CLIMBING) and can_climbe then
+    princess_states.push(CLIMBING)
+  end
+  if not wants_climb or not can_climbe then
+    princess_states.removeElement(CLIMBING)
+  end
+  
+  if wants_crouch and not princess_states.contains(CLIMBING_DOWN) and can_climbe then
+    princess_states.push(CLIMBING_DOWN)
+  end
+  if not wants_crouch or not can_climbe then
+    princess_states.removeElement(CLIMBING_DOWN)
+  end
+  */
+  
+  prev_time = now
+
+end
+
+draw = function()
+  screen.fillRect(0,0,screen.width,screen.height,"rgb(171,255,255)")
+  screen.drawMap(played_map,
+                princess.xoffset,
+                princess.yoffset,
+                princess.map.width*princess.map.block_width,
+                princess.map.height*princess.map.block_height)
+  
+  princess.draw_me()
+end
\ No newline at end of file
diff --git a/ms/princess_accel_dyn_obsolete.ms b/ms/princess_accel_dyn_obsolete.ms
new file mode 100644
index 0000000..291b03f
--- /dev/null
+++ b/ms/princess_accel_dyn_obsolete.ms
@@ -0,0 +1,462 @@
+PrincessOld = class
+  // globals
+  LEFT = 0
+  RIGHT= 1
+  
+  // taille de la princess
+  X_SIZE = 7.68
+  Y_SIZE = 16
+  
+  // états
+  IDLING = 0
+  WALKING_R = 1
+  WALKING_L = 2
+  JUMPING = 3
+  CROUCHING = 4
+  FARTING = 5
+  DASHING = 6
+  FALLING = 7
+  RUNNING = 8
+  CLIMBING_UP = 9
+  CLIMBING_DOWN = 10
+  PRESSING_WALL = 11
+  
+  // Définitions statiques
+  ONE_METER = 16 //nombre de pixels par mètre
+  // accélérations
+  WALK_ACCEL = 6 // exrimé en m/s/s
+  FLIGHT_WALK_ACCEL = 3
+  RUN_ACCEL = 9  // exprimé en m/s/s
+  FLIGHT_RUN_ACCEL = 6
+  AIR_CONTROL_DIVIDER = 2.4 // diviseur pour limiter le contrôle de trajectoire en l'air
+  GRAVITY = 1.5 // exprimé en m/s/s
+  JUMP_ACCEL =  5
+
+  //frictions
+  GROUND_FRICTION = 0.3 // coefficient de friction du sol
+  GROUND_X_DIV = 10
+  AIR_FRICTION = 0.3 //coefficient de friction dans l'air
+  WALL_FRICTION = 0.3
+  
+  // Quand la princesse est en friction sur le mur
+  // de combien est-elle propulsée du côté opposé
+  // lorsqu'elle saute à ce moment là
+  WALL_KICK = 4
+  JUMP_KICK = 8 
+  
+  // Nombre d'inréments composant un saut
+  JUMPING_COUNTER = 7
+  // Nombre d'incrément à rajouter lorsque la touche de saut est maintenue
+  JUMPING_COUNTER_REFILL = 2
+  // Tous les combien d'incréments rajouter un refill sur le compteur
+  JUMPING_KEY_COUNTER_THRESHOLD = 3
+  
+  
+  constructor = function(x, y, map_name)
+    this.x = x
+    this.y = y -10 // décaler le srpite car sinon 0,0 est en son centre
+    this.map = maps[map_name]
+    this.states = []
+    
+    this.x_speed = 0
+    this.y_speed = 0
+    
+    this.x_accel = 0
+    this.y_accel = 0
+    this.last_direction = RIGHT
+    
+    this.xoffset=0
+    this.yoffset=0
+    
+    // jumping states
+    this.jumping_counter = 0 // compte le nombre d'étape à faire pour sauter
+    // compte le nombre de frames dans le saut, utilisé pour savoir
+    // si le bouton a été enfoncé longtemps ou non
+    this.jump_key_counter = 0
+    // mis à 1 si le saut à démarré avec un kick pour pouvoir
+    // rajouter un peu de kick en cours de saut si la touche de saut
+    // est maintenue.
+    this.jump_started_wall_kick = 0
+  end
+  
+
+  
+  x_in_map = function(x)
+    /*
+    transforme une coordonée x avec une référence au centre de la carte
+    en une coordonnée où le point de référence est en bas à gauche de la carte
+    */
+    map_half_width = (this.map.width/2)*this.map.block_width
+    return x+map_half_width-this.xoffset
+  end
+  
+  x_to_block = function(x_in_map)
+    // Transforme une coordonée x en numéro de block correspondant
+    return floor(x_in_map / this.map.block_width)
+  end
+  
+  mapx_to_x = function(mapx)
+    return mapx-((this.map.width/2)* this.map.block_width)+this.xoffset
+  end
+
+  y_in_map = function(y)
+    /*
+    transforme une coordonée y avec une référence au centre de la carte
+    en une coordonnée où le point de référence est en bas à gauche de la carte
+    */
+    map_half_height = (this.map.height/2)* this.map.block_height
+    return y+map_half_height-this.yoffset
+  end
+  
+  mapy_to_y = function(mapy)
+    return mapy-((this.map.height/2)* this.map.block_height)+this.yoffset
+  end
+  
+  y_to_block = function(y_in_map)
+    // Transforme une coordonée y en numéro de block correspondant
+    return floor(y_in_map / this.map.block_height)
+  end
+  
+  get_touching = function(name, x, y)
+    /*
+    Renvoie les coordonées en unité block du block pointé aux coordonnées du personnage.
+    */
+    block_x = x_to_block(x_in_map(x))
+    block_y =  y_to_block(y_in_map(y))
+    
+    block = map.get(block_x,block_y)
+    if block != 0 then
+      if block.startsWith(name) then
+        return [block_x, block_y]
+      else
+        return [-1, -1]
+      end
+    end
+    return [-1, -1]
+  end
+  
+  feet_on_ground = function()
+    // renvoie vrai si le block sous les pieds de la princesse est une plateforme
+    return get_touching("plateformes", this.x, this.y-Y_SIZE/2-1)[0] > -1
+  end
+
+  touch_wall = function()
+    // renvoie vrai si le block sous les pieds de la princesse est une plateforme
+    return get_touching("plateformes", this.x-X_SIZE/2-1, this.y)[0] > -1 or
+           get_touching("plateformes", this.x+X_SIZE/2+1, this.y)[0] > -1 
+  end
+  
+  head_on_ceiling = function()
+    // renvoie vrai si le block au dessus de la tête de la princesse est une plateforme
+    return get_touching("plateformes", this.x, this.y+Y_SIZE/2)[0] > -1
+  end
+  
+  walk = function(timedelta)
+    /*
+    Met le personnage en mouvemment à gauche ou à droite
+    timedelta, nombre de milisecondes depuis le dernier appel
+    */
+    accel = 0
+    
+    if this.states.contains(WALKING_L) or this.states.contains(WALKING_R) then
+      accel = WALK_ACCEL
+      if this.states.contains(RUNNING) then
+        accel = RUN_ACCEL
+      end
+      // si le personnage n'est pas au sol, diviser l'accélération latérale
+      if not feet_on_ground() then
+        accel = FLIGHT_WALK_ACCEL
+        if this.states.contains(RUNNING) then
+          accel = FLIGHT_RUN_ACCEL
+        end
+      end
+    end
+    
+    
+    // Inverser le vecteur de déplacement si l'on va à gauche
+    if this.states.contains(WALKING_L) then
+      accel = accel * -1
+    end
+    
+    td_in_s = timedelta /1000
+    
+    this.x_accel = this.x_accel + accel*td_in_s
+  end
+  
+  gravity = function(timedelta)
+    /*
+    Applique la gravité au personnage
+    timedelta, nombre de milisecondes depuis le dernier appel
+    */
+    if not this.feet_on_ground() then
+      td_in_s = timedelta /1000
+      this.y_accel = this.y_accel - GRAVITY*td_in_s
+    end
+  end
+  
+  jump = function(timedelta)
+    if this.states.contains(JUMPING) then
+      // initialiser les variables du saut
+      if this.jumping_counter == 0 then
+        this.jump_started_wall_kick = 0
+        this.jumping_counter = JUMPING_COUNTER
+      end
+      
+      // si l'utilisateur appuie longtemps sur la touche espace, alors sauter un peu plus loni 
+      if this.jump_key_counter > 0 and   this.jump_key_counter % JUMPING_KEY_COUNTER_THRESHOLD == 0 then
+        this.jumping_counter += JUMPING_COUNTER_REFILL
+        
+        // besoin d'étendre le kick de départ si le saut a été initié contre un mur
+        // la valeur à rajouter est plus petite que le kick de départ
+        if this.jump_started_wall_kick then
+          if this.states.contains(WALKING_L) then
+            this.x_speed = WALL_KICK/2
+          end
+          if this.states.contains(WALKING_R) then
+            this.x_speed = -WALL_KICK/2
+          end
+        end
+      end
+
+      // Donner un petit kick pour le wall jump
+      if this.states.contains(PRESSING_WALL) then
+        this.jump_started_wall_kick = 1
+        if this.states.contains(WALKING_L) then
+          this.x_speed = WALL_KICK
+        end
+        if this.states.contains(WALKING_R) then
+          this.x_speed = -WALL_KICK
+        end
+      end
+      
+      // calculer l'accélération
+      //td_in_s = timedelta /1000
+      //this.y_accel = this.y_accel + JUMP_ACCEL * td_in_s
+      this.y_speed = JUMP_KICK * (this.jumping_counter/JUMPING_COUNTER)
+      
+      // traiter la fin du saut
+      this.jumping_counter -=1
+      if this.jumping_counter == 0 then
+        this.states.removeElement(JUMPING)
+        return
+      end
+    end
+  end
+  
+  
+  move = function()
+    /*
+    Cette fonction applique les accélérations calculées à ce tour sur la princesse et les applique
+    */
+    // calculer la friction qui s'oppose au déplacement
+    // c'est grâce à la friction que le personnage atteindra sa vélocité maximum
+    // et freinera losqu'il n'aura plus d'accélération
+    // La quantité de friction s'applique au sol et en l'air et elle augmente avec le carré de la vitesse
+    // il en resulte un vecteur opposé au déplacement qui vient contrer celui ci.
+    
+    x_friction = AIR_FRICTION
+    if this.feet_on_ground() then
+      x_friction += GROUND_FRICTION 
+    end
+    
+    x_friction = pow(this.x_speed * x_friction, 2)
+    if this.x_speed < 0 then
+      x_friction = x_friction * -1
+    end
+    
+    this.x_speed = this.x_speed + (this.x_accel * ONE_METER) - x_friction
+    
+    
+    y_friction = AIR_FRICTION
+    
+    if(
+        this.y_speed < 0 and 
+        touch_wall() and
+        (this.states.contains(WALKING_L) or this.states.contains(WALKING_R))
+      )then
+      if not this.states.contains(PRESSING_WALL) then
+        this.states.push(PRESSING_WALL)
+      end
+      y_friction += WALL_FRICTION
+    else
+      this.states.removeElement(PRESSING_WALL)
+    end
+    
+    y_friction = pow(this.y_speed * y_friction, 2)
+
+    if this.y_speed < 0 then
+      y_friction = y_friction * -1
+    end
+    
+
+    befiore_speed =  this.y_speed
+
+    this.y_speed = this.y_speed + (this.y_accel * ONE_METER) - y_friction
+
+    
+    
+    signx = 1
+    signy = 1
+    // gérer la collision sur x
+    if this.x_speed > 0 then
+      x_add = X_SIZE/2
+    else
+      x_add = -X_SIZE/2
+      signx = -1
+    end
+    if this.y_speed > 0 then
+      y_add = Y_SIZE/2
+    else
+      y_add = -Y_SIZE/2
+      signy = -1
+    end
+    
+    // éviter de glisser trop longtemps quand la force de friction est trop faible pour arrêter le personnage
+    if abs(this.x_speed) < WALK_ACCEL/GROUND_X_DIV then
+      this.x_speed = 0
+    end
+
+    
+    // déplace la princesse uniquement de la distance totale si elle à la place de le faire
+    futur_x = this.x + this.x_speed
+    touching =  get_touching("plateformes", futur_x + x_add, this.y + -Y_SIZE/2)
+    if touching[0] > -1 then
+       // Si la princesse va toucher son collisioneur, alors la placer au bord de l'élément
+      if this.x_speed > 0 then
+        colisioner_x = touching[0]+1
+        colisioner_left_border = mapx_to_x(colisioner_x * this.map.block_width - this.map.block_width)
+        futur_x = floor(colisioner_left_border - X_SIZE/2)
+      elsif this.x_speed < 0 then
+        colisioner_x = touching[0]
+        colisioner_left_border = mapx_to_x(colisioner_x * this.map.block_width + this.map.block_width)
+        futur_x = ceil(colisioner_left_border + X_SIZE/2)
+      end
+      this.x_speed = 0 //arrêt brutal
+    end
+ 
+    dispx = abs(futur_x - this.x)
+    this.xoffset -= dispx*signx
+            
+    futur_y = this.y + this.y_speed 
+    touching = get_touching("plateformes", this.x + x_add, futur_y + y_add)         
+    if touching[1] > -1 then
+       // Si la princesse va toucher son collisioneur, alors la placer au bord de l'élément
+      if this.y_speed > 0 then
+        colisioner_y = touching[1]
+        colisioner_bottom_border = mapy_to_y(colisioner_y * this.map.block_height)
+        futur_y = floor(colisioner_bottom_border - Y_SIZE/2)
+      elsif this.y_speed < 0 then
+        colisioner_y = touching[1]
+        colisioner_top_border = mapy_to_y(colisioner_y * this.map.block_height + this.map.block_height)
+        futur_y = ceil(colisioner_top_border + Y_SIZE/2)
+      end
+      this.y_speed = 0 //arrêt brutal
+    end
+    
+    dispy = abs(futur_y - this.y)
+    this.yoffset -= dispy*signy
+
+    // remise à zéro de l'accélération
+    this.x_accel = 0
+    this.y_accel = 0
+    
+
+
+  end
+  
+  update_me = function(timedelta)
+    walk(timedelta)
+    jump(timedelta)
+    gravity(timedelta)
+    
+    move()
+  end
+  
+  draw_me = function()
+    /*
+    Dessine la Princesse à l'écran
+    */
+    
+    
+    if this.last_direction == LEFT then
+      screen.setDrawScale(-1,1)
+    end
+    if this.states.contains(JUMPING) or this.states.contains(FALLING) then
+      screen.drawSprite(
+        "princess.1",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    elsif states.contains(WALKING_L) then
+      screen.drawSprite(
+        "princess",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    elsif states.contains(WALKING_R) then
+      screen.drawSprite(
+        "princess",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    else
+      screen.drawSprite(
+        "princess.0",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    end
+    
+    if this.last_direction == LEFT then
+      screen.setDrawScale(1,1)
+    end
+  end
+  
+  go_right = function()
+    this.last_direction = RIGHT
+    if not this.states.contains(WALKING_R) then
+      this.states.push(WALKING_R)
+    end
+      
+  end
+  
+  stop_going_right = function()
+    this.states.removeElement(WALKING_R)
+  end
+  
+  go_left = function()
+    this.last_direction = LEFT
+    if not this.states.contains(WALKING_L) then
+      this.states.push(WALKING_L)
+    end
+  end
+  
+  stop_going_left = function()
+    this.states.removeElement(WALKING_L)
+  end
+  
+  do_jump = function()
+    // Un nouveau saut est déclenché uniquement si le cycle d'un saut
+    // précédent n'est pas fini.
+    // Pour terminer, la princesse doit avoir touché le sol ou être accrochée au mur
+    // mais l'utilisateur doit également avoir relâché la touche saut
+    if not this.states.contains(JUMPING) and this.jump_key_counter == 0 then
+      if (feet_on_ground() or this.states.contains(PRESSING_WALL)) then
+        this.states.push(JUMPING)
+      end
+      // lorsqu'un saut est démarré, mettre à zéro le compteur de frames
+      this.jump_key_counter = 0
+    else
+      // dans tous les cas incrémenter le compteur de frames
+      this.jump_key_counter += 1
+    end
+  end
+  
+  stop_jump = function()
+    this.jump_key_counter = 0
+  end
+end
\ No newline at end of file
diff --git a/ms/princess_accel_static.ms b/ms/princess_accel_static.ms
new file mode 100644
index 0000000..bc38898
--- /dev/null
+++ b/ms/princess_accel_static.ms
@@ -0,0 +1,559 @@
+// TODO régler les collisions!!!!
+
+Princess = class
+  // globals
+  LEFT = 0
+  RIGHT= 1
+  
+  // taille de la princess
+  X_SIZE = 12
+  Y_SIZE = 23
+  
+  // états
+  IDLING = 0
+  WALKING_R = 1
+  WALKING_L = 2
+  JUMPING = 3
+  CROUCHING = 4
+  FARTING = 5
+  DASHING = 6
+  FALLING = 7
+  RUNNING = 8
+  CLIMBING_UP = 9
+  CLIMBING_DOWN = 10
+  PRESSING_WALL = 11
+  JUMP_KICKING = 12
+  
+  X_SPEED_TABLE    = [0, 0.2, 0.4, 0.6, 1, 1.6, 2.4, 3]
+  X_SPEED_DECEL    = [0, 0.2, 0.6, 1.6, 3]
+  X_SPEED_AIR_DECEL =[0, 0.2, 0.6, 0.8, 0.9, 0.9, 1,  
+                      1.1, 1.1, 1.1, 1.2, 1.2, 1.2,
+                      1.2, 1.2, 1.3, 1.4, 1.5, 1.6, 
+                      1.8, 1.9, 3]
+  FALL_SPEED_TABLE = [0, 0.4, 0.8, 1.2, 1.6, 2, 2.4, 2.8, 3, 4, ]
+  JUMP_SPEED_TABLE = [0, 0.4, 0.8, 1.2, 1.6, 2, 2.4, 2.8, 3, 3, 4, 5]
+  KICK_SPEED_TABLE = [0, 0.2, 0.4, 0.6, 1, 1.6, 2.4, 3]
+   
+  
+  // Nombre d'inréments composant un saut
+  JUMPING_COUNTER = 20
+  // Nombre d'incrément à rajouter lorsque la touche de saut est maintenue
+  JUMPING_COUNTER_REFILL = 2
+  // Tous les combien d'incréments rajouter un refill sur le compteur
+  JUMPING_KEY_COUNTER_THRESHOLD = 3
+  
+  COYOTE_LENGTH = 20
+  
+  
+  constructor = function(x, y, map_name)
+    this.x = x
+    this.y = y -10 // décaler le srpite car sinon 0,0 est en son centre
+    this.map = maps[map_name]
+    this.states = []
+    
+    this.x_speed = 0
+    this.y_speed = 0
+    
+    this.x_accel = 0
+    this.y_accel = 0
+    this.last_direction = RIGHT
+    
+    this.xoffset=0
+    this.yoffset=0
+    
+    // jumping states
+    this.jumping_counter = 0 // compte le nombre d'étape à faire pour sauter
+    // compte le nombre de frames dans le saut, utilisé pour savoir
+    // si le bouton a été enfoncé longtemps ou non
+    this.jump_key_counter = 0
+    // mis à 1 si le saut à démarré avec un kick pour pouvoir
+    // rajouter un peu de kick en cours de saut si la touche de saut
+    // est maintenue.
+    this.jump_started_wall_kick = 0
+    this.jump
+    
+    this.coyote = []
+    this.coyote_pressing = []
+  end
+
+  
+  x_in_map = function(x)
+    /*
+    transforme une coordonée x avec une référence au centre de la carte
+    en une coordonnée où le point de référence est en bas à gauche de la carte
+    */
+    map_half_width = (this.map.width/2)*this.map.block_width
+    return x+map_half_width-this.xoffset
+  end
+  
+  x_to_block = function(x_in_map)
+    // Transforme une coordonée x en numéro de block correspondant
+    return floor(x_in_map / this.map.block_width)
+  end
+  
+  mapx_to_x = function(mapx)
+    return mapx-((this.map.width/2)* this.map.block_width)+this.xoffset
+  end
+
+  y_in_map = function(y)
+    /*
+    transforme une coordonée y avec une référence au centre de la carte
+    en une coordonnée où le point de référence est en bas à gauche de la carte
+    */
+    map_half_height = (this.map.height/2)* this.map.block_height
+    return y+map_half_height-this.yoffset
+  end
+  
+  mapy_to_y = function(mapy)
+    return mapy-((this.map.height/2)* this.map.block_height)+this.yoffset
+  end
+  
+  y_to_block = function(y_in_map)
+    // Transforme une coordonée y en numéro de block correspondant
+    return floor(y_in_map / this.map.block_height)
+  end
+  
+  get_touching = function(name, x, y)
+    /*
+    Renvoie les coordonées en unité block du block pointé aux coordonnées du personnage.
+    */
+    block_x = x_to_block(x_in_map(x))
+    block_y =  y_to_block(y_in_map(y))
+    
+    block = map.get(block_x,block_y)
+    if block != 0 then
+      if block.startsWith(name) then
+        return [block_x, block_y]
+      else
+        return [-1, -1]
+      end
+    end
+    return [-1, -1]
+  end
+  
+  feet_on_ground = function()
+    // renvoie vrai si le block sous les pieds de la princesse est une plateforme
+    return get_touching("plateformes", this.x, this.y-Y_SIZE/2-1)[0] > -1
+  end
+  
+  futur_feet_on_ground = function(x)
+    // renvoie vrai si le block sous les pieds de la princesse est une plateforme
+    return get_touching("plateformes", x, this.y-Y_SIZE/2-1)[0] > -1
+  end
+  
+  coyote_touch = function()
+    return coyote[0]
+  end
+  coyote_pressing_touch = function()
+    return coyote_pressing[0]
+  end
+
+  touch_wall = function()
+    // renvoie vrai si le block sous les pieds de la princesse est une plateforme
+    return get_touching("plateformes", this.x-X_SIZE/2-1, this.y)[0] > -1 or
+           get_touching("plateformes", this.x+X_SIZE/2+1, this.y)[0] > -1 
+  end
+  
+  head_on_ceiling = function()
+    // renvoie vrai si le block au dessus de la tête de la princesse est une plateforme
+    return get_touching("plateformes", this.x, this.y+Y_SIZE/2)[0] > -1
+  end
+  
+  get_speed_table = function(table, index)
+    speed_table_len = table.length
+    if index < speed_table_len then
+      return table[index]
+    else
+      return table[speed_table_len-1]
+    end
+  end
+  
+  walk = function(timedelta)
+    if this.states.contains(JUMP_KICKING) then
+      return
+      print("can't walk")
+    end
+    
+    if this.states.contains(WALKING_L) or this.states.contains(WALKING_R) then
+      table = X_SPEED_TABLE
+      this.walking_step = min(table.length, this.walking_step+1)
+    else
+      if feet_on_ground() then
+        table = X_SPEED_DECEL
+        this.start_air_decel = 0
+        if this.walking_step >= X_SPEED_DECEL.length -1 then
+            this.walking_step = X_SPEED_DECEL.length -1
+        end
+      else
+        table = X_SPEED_AIR_DECEL
+        if this.start_air_decel == 0 then
+          if this.walking_step >= X_SPEED_DECEL.length -1 then
+            this.walking_step = X_SPEED_AIR_DECEL.length -1
+          end
+          this.start_air_decel = 1
+        end
+      end
+      if this.walking_step >= 0 then
+        if this.walking_step > table.length-1 then
+          this.walking_step = table.length-1
+        end
+        this.walking_step-=1
+      end
+    end
+    if this.walking_step >= 0 then
+      this.x_speed = get_speed_table(table, this.walking_step)
+      if this.last_direction == LEFT then
+        this.x_speed *= -1
+      end
+    end
+    if abs(x_speed) > 0 then
+      print(x_speed)
+    end
+  end
+  
+  gravity = function(timedelta)
+    if(
+        not feet_on_ground() and 
+        touch_wall() and
+        not this.states.contains(JUMPING) and
+        (this.states.contains(WALKING_L) or this.states.contains(WALKING_R))
+    )then
+      if not this.states.contains(PRESSING_WALL) then
+        this.states.push(PRESSING_WALL)
+        print("pressing wall")
+      end
+    else
+      if this.states.contains(PRESSING_WALL) then
+        this.states.removeElement(PRESSING_WALL)
+        print("stop pressing wall")
+      end
+    end
+    
+    max_speed = FALL_SPEED_TABLE.length
+    if this.states.contains(PRESSING_WALL) then
+      max_speed = 4
+    end
+    
+    if this.feet_on_ground() or this.states.contains(JUMPING) then
+      this.falling_step = -1
+      this.states.removeElement(FALLING)
+    else
+      if not this.states.contains(JUMPING) then
+        this.falling_step = min(max_speed, this.falling_step+=1)
+        if not this.states.contains(FALLING) then
+          this.states.push(FALLING)
+        end
+      end
+    end
+
+    if this.falling_step >= 0 then
+      this.y_speed = - get_speed_table(FALL_SPEED_TABLE, this.falling_step)
+    end
+  end
+  
+  jump = function(timedelta)
+    if this.states.contains(JUMPING) then
+      // initialiser les variables du saut
+      if this.jumping_counter == 0 then
+        this.jump_started_wall_kick = 0
+        this.jumping_counter = JUMP_SPEED_TABLE.length
+        this.kick_counter = KICK_SPEED_TABLE.length -1
+        
+        // Donner un petit kick pour le wall jump
+        if this.states.contains(PRESSING_WALL) then
+          if not this.states.contains(JUMP_KICKING) then
+            print("jump kicking")
+            this.states.push(JUMP_KICKING)
+          end
+        end
+      end
+      // si l'utilisateur appuie longtemps sur la touche espace, alors sauter un peu plus loni 
+      if this.jump_key_counter > 0 and this.jump_key_counter % JUMPING_KEY_COUNTER_THRESHOLD == 0 then
+        this.jumping_counter += JUMPING_COUNTER_REFILL
+        
+        if this.states.contains(JUMP_KICKING) then
+          this.kick_counter += JUMPING_COUNTER_REFILL
+        end
+      end
+      
+      if this.states.contains(JUMP_KICKING) then
+        this.x_speed = get_speed_table(KICK_SPEED_TABLE, this.kick_counter)
+        if this.last_direction == RIGHT then
+          this.x_speed *= -1
+        end
+        this.kick_counter -=1
+        print("kick "+this.x_speed)
+        
+        if this.kick_counter <= 0 then
+          this.states.removeElement(JUMP_KICKING)
+          this.walking_step=0
+        end
+      end
+      
+      this.y_speed = get_speed_table(JUMP_SPEED_TABLE, this.jumping_counter)
+
+      this.jumping_counter -= 1
+      if this.jumping_counter == 0 then
+        this.states.removeElement(JUMPING)
+        print("jump cycle done")
+      end
+    end
+  end
+  
+  next_collision_x = function(futur_x, y, right, left)
+    ret_futur_x = futur_x
+    for i=(y - Y_SIZE/2) to (y + Y_SIZE/2) by 8
+      point = get_touching("plateformes", futur_x, i)
+      hypothesis = -1
+      
+      if point[0] > 0 then
+        if right then
+          colisioner_x = point[0]+1
+          colisioner_left_border = mapx_to_x(colisioner_x * this.map.block_width - this.map.block_width)
+          hypothesis = floor(colisioner_left_border - X_SIZE/2)
+        elsif left then
+          colisioner_x = point[0]
+          colisioner_left_border = mapx_to_x(colisioner_x * this.map.block_width + this.map.block_width)
+          hypothesis = ceil(colisioner_left_border + X_SIZE/2)
+        end
+      end
+      if hypothesis != -1 and abs(hypothesis) < abs(ret_futur_x) then
+        ret_futur_x = hypothesis
+      end
+    end
+    return ret_futur_x
+  end
+  
+  next_collision_y = function(x, futur_y, top, bottom)
+    ret_futur_y = futur_y
+    for i=(x - X_SIZE/2) to (x + X_SIZE/2) by 4
+      point = get_touching("plateformes", i, futur_y)
+      hypothesis = -1
+      
+      if point[0] > 0 then
+        if top then
+          colisioner_y = point[1]
+          colisioner_bottom_border = mapy_to_y(colisioner_y * this.map.block_height)
+          futur_y = floor(colisioner_bottom_border - Y_SIZE/2)
+        elsif bottom then
+          colisioner_y = point[1]
+          colisioner_top_border = mapy_to_y(colisioner_y * this.map.block_height + this.map.block_height)
+          hypothesis = ceil(colisioner_top_border + Y_SIZE/2)
+        end
+      end
+      if hypothesis != -1 and abs(hypothesis) < abs(ret_futur_y) then
+        ret_futur_y = hypothesis
+      end
+    end
+    return ret_futur_y
+  end
+
+
+  move = function()
+    signx = 1
+    signy = 1
+    
+    // gérer la collision sur x
+    if this.x_speed > 0 then
+      x_add = X_SIZE/2
+    else
+      x_add = -X_SIZE/2
+      signx = -1
+    end
+    if this.y_speed > 0 then
+      y_add = Y_SIZE/2
+    else
+      y_add = -Y_SIZE/2
+      signy = -1
+    end
+    
+    // déplace la princesse uniquement de la distance totale si elle à la place de le faire
+    futur_x = this.x + this.x_speed
+    if abs(this.x_speed) !=0 then
+      futur_x_with_collision = next_collision_x(futur_x+x_add, this.y, this.x_speed > 0, this.x_speed < 0)
+      if futur_x_with_collision != futur_x+x_add then
+        futur_x = futur_x_with_collision
+        this.x_speed = 0
+      end
+    end
+ 
+    dispx = abs(futur_x - this.x)
+    this.xoffset -= dispx*signx
+    
+ 
+    futur_y = this.y + this.y_speed 
+    touching = get_touching("plateformes", this.x + x_add, futur_y + y_add)         
+    if touching[1] > -1 then
+       // Si la princesse va toucher son collisioneur, alors la placer au bord de l'élément
+      if this.y_speed > 0 then
+        colisioner_y = touching[1]
+        colisioner_bottom_border = mapy_to_y(colisioner_y * this.map.block_height)
+        futur_y = floor(colisioner_bottom_border - Y_SIZE/2)
+      elsif this.y_speed < 0 then
+        colisioner_y = touching[1]
+        colisioner_top_border = mapy_to_y(colisioner_y * this.map.block_height + this.map.block_height)
+        futur_y = ceil(colisioner_top_border + Y_SIZE/2)
+      end
+      cancel_jump()
+      this.y_speed = 0 //arrêt brutal
+    end
+    
+    dispy = abs(futur_y - this.y)
+    this.yoffset -= dispy*signy
+
+    // remise à zéro de l'accélération
+    this.x_accel = 0
+    this.y_accel = 0
+    
+
+
+  end
+  
+  update_me = function(timedelta)
+    coyote.push(feet_on_ground())
+    coyote_pressing.push(this.states.contains(PRESSING_WALL))
+    
+    walk(timedelta)
+    jump(timedelta)
+    gravity(timedelta)
+    move()
+    
+    if coyote.length > COYOTE_LENGTH then
+      coyote.removeAt(0)
+    end
+    if coyote_pressing.length > COYOTE_LENGTH then
+      coyote_pressing.removeAt(0)
+    end
+  end
+  
+  draw_me = function()
+
+    
+    reverse = (not this.states.contains(PRESSING_WALL) and this.last_direction == LEFT) or (this.states.contains(PRESSING_WALL) and this.last_direction == RIGHT)
+    if reverse then
+      screen.setDrawScale(-1,1)
+    end
+    if this.states.contains(JUMPING) and not this.states.contains(PRESSING_WALL) then
+      if this.jumping_counter <= JUMP_SPEED_TABLE.length-1 and  this.jumping_counter >= JUMP_SPEED_TABLE.length-3  then
+        screen.drawSprite(
+          "princess_jumping_impulsion",
+          this.x,
+          this.y,
+          X_SIZE,
+          Y_SIZE)
+      else
+        screen.drawSprite(
+        "princess_jumping",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+      end
+    elsif this.states.contains(FALLING) and not this.states.contains(PRESSING_WALL) then
+      if states.contains(WALKING_L) or states.contains(WALKING_R) then
+        screen.drawSprite(
+          "princess_falling_direction",
+          this.x,
+          this.y,
+          X_SIZE,
+          Y_SIZE)
+      else
+        screen.drawSprite(
+          "princess_falling",
+          this.x,
+          this.y,
+          X_SIZE,
+          Y_SIZE)
+      end
+    elsif this.states.contains(PRESSING_WALL) then
+      screen.drawSprite(
+        "princess_wall_stick",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    elsif states.contains(WALKING_L) and not this.states.contains(FALLING) then
+      screen.drawSprite(
+        "princess",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    elsif states.contains(WALKING_R) and not this.states.contains(FALLING)then
+      screen.drawSprite(
+        "princess",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    else
+      screen.drawSprite(
+        "princess.0",
+        this.x,
+        this.y,
+        X_SIZE,
+        Y_SIZE)
+    end
+    
+    if reverse then
+      screen.setDrawScale(1,1)
+    end
+  end
+  
+  go_right = function()
+    this.last_direction = RIGHT
+    if not this.states.contains(WALKING_R) then
+      print("right")
+      this.states.push(WALKING_R)
+      this.walking_step = this.kick_counter
+      //this.kick_counter = -1
+    end
+      
+  end
+  
+  stop_going_right = function()
+    this.states.removeElement(WALKING_R)
+  end
+  
+  go_left = function()
+    this.last_direction = LEFT
+    if not this.states.contains(WALKING_L) then
+      print("left")
+      this.states.push(WALKING_L)
+      this.walking_step = this.kick_counter
+      //this.kick_counter = -1
+    end
+  end
+  
+  stop_going_left = function()
+    this.states.removeElement(WALKING_L)
+  end
+  
+  do_jump = function()
+    // Un nouveau saut est déclenché uniquement si le cycle d'un saut
+    // précédent n'est pas fini.
+    // Pour terminer, la princesse doit avoir touché le sol ou être accrochée au mur
+    // mais l'utilisateur doit également avoir relâché la touche saut
+    if not this.states.contains(JUMPING) and this.jump_key_counter == 0 then
+      if (feet_on_ground() or this.states.contains(PRESSING_WALL) or coyote_touch() or coyote_pressing_touch()) then
+        this.states.push(JUMPING)
+        print("jump")
+      end
+    else
+        this.jump_key_counter += 1
+    end
+  end
+  
+  stop_jump = function()
+    print("stop jump")
+    this.jump_key_counter = 0
+  end
+
+  cancel_jump = function()
+    print("cancel jump")
+    this.jumping_counter = 0
+    this.states.removeElement(JUMPING)
+    this.kick_counter = 0
+    this.states.removeElement(JUMP_KICKING)
+  end
+end
\ No newline at end of file
diff --git a/sprites/flag.png b/sprites/flag.png
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