diff --git a/CMakeLists.txt b/CMakeLists.txt
index 142822a..36a46e9 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -64,6 +64,8 @@ set(ASSETS_cg
   assets-cg/Sprites/Bullets/bullet_blue.png
   assets-cg/Sprites/Bullets/bullet_laser.png
   assets-cg/Sprites/Bullets/bullet_enemy_blue.png
+  assets-cg/Sprites/Bullets/bullet_enemy_red.png
+  assets-cg/Sprites/Bullets/bullet_enemy_green.png
 
   assets-cg/Sprites/Players/mainship1.png
   assets-cg/Sprites/Players/Satellite_Lvl1.png
@@ -74,7 +76,8 @@ set(ASSETS_cg
   assets-cg/Sprites/Enemies/Enemy_Red_Lvl1.png  
 
   assets-cg/Sprites/Boss/Boss1.png
-  
+  assets-cg/Sprites/Boss/BossGun.png
+
 	assets-cg/Levels/tileset.png
   assets-cg/Levels/Level2.json
 #  assets-cg/Levels/Tileset_Space.json
diff --git a/assets-cg/Sprites/Boss/BossGun.png b/assets-cg/Sprites/Boss/BossGun.png
new file mode 100644
index 0000000..9f404d2
Binary files /dev/null and b/assets-cg/Sprites/Boss/BossGun.png differ
diff --git a/assets-cg/Sprites/Bullets/bullet_enemy_blue.png b/assets-cg/Sprites/Bullets/bullet_enemy_blue.png
index 33456cb..4e7b05f 100644
Binary files a/assets-cg/Sprites/Bullets/bullet_enemy_blue.png and b/assets-cg/Sprites/Bullets/bullet_enemy_blue.png differ
diff --git a/assets-cg/Sprites/Bullets/bullet_enemy_green.png b/assets-cg/Sprites/Bullets/bullet_enemy_green.png
new file mode 100644
index 0000000..ba01300
Binary files /dev/null and b/assets-cg/Sprites/Bullets/bullet_enemy_green.png differ
diff --git a/assets-cg/Sprites/Bullets/bullet_enemy_red.png b/assets-cg/Sprites/Bullets/bullet_enemy_red.png
new file mode 100644
index 0000000..2c31146
Binary files /dev/null and b/assets-cg/Sprites/Bullets/bullet_enemy_red.png differ
diff --git a/captures/fxlink-image-2023.08.14-13h38-14.png b/captures/fxlink-image-2023.08.14-13h38-14.png
deleted file mode 100644
index de27b17..0000000
Binary files a/captures/fxlink-image-2023.08.14-13h38-14.png and /dev/null differ
diff --git a/captures/fxlink-image-2023.08.14-13h38-17.png b/captures/fxlink-image-2023.08.14-13h38-17.png
deleted file mode 100644
index 19fcc8e..0000000
Binary files a/captures/fxlink-image-2023.08.14-13h38-17.png and /dev/null differ
diff --git a/captures/fxlink-image-2023.08.14-13h38-41.png b/captures/fxlink-image-2023.08.14-13h38-41.png
deleted file mode 100644
index 376855b..0000000
Binary files a/captures/fxlink-image-2023.08.14-13h38-41.png and /dev/null differ
diff --git a/src/boss.cpp b/src/boss.cpp
index 7d5ebb7..ed8773a 100644
--- a/src/boss.cpp
+++ b/src/boss.cpp
@@ -10,15 +10,23 @@
 
 #include <gint/gint.h>
 #include "collections.h"
+#include "player.h"
 
+#include "vector2D.h"
 
 extern bopti_image_t img_Lifebar;
 extern bopti_image_t img_Boss1;
+extern bopti_image_t img_BossGun;
 
 extern font_t milifont_prop;
 
 
+extern std::vector<Bullet*> MyEnemiesBullets;
+extern Player *MyPlayer;
+
 #define NB_PIECES_BOSS  12
+#define NB_GUNS         12
+
 libnum::num XdataBossInternal[NB_PIECES_BOSS];
 libnum::num YdataBossInternal[NB_PIECES_BOSS];
 libnum::num XdataBossExternal[NB_PIECES_BOSS];
@@ -26,6 +34,10 @@ libnum::num YdataBossExternal[NB_PIECES_BOSS];
 
 BossPart Pieces[NB_PIECES_BOSS*2];
 
+libnum::num xGuns[NB_GUNS];
+libnum::num yGuns[NB_GUNS];
+
+BossGun Guns[NB_GUNS];
 
 
 #include <stdio.h>
@@ -108,10 +120,9 @@ Boss::Boss( int16_t _x, int16_t _y, uint8_t _id )
 
     lastshoot0 = rtc_ticks();
     lastshoot1 = rtc_ticks();
-    lastshoot2 = rtc_ticks();
 
-    radiusInt = libnum::num( 75 );
-    radiusExt = libnum::num( 100 );
+    radiusInt = libnum::num( 80 );
+    radiusExt = libnum::num( 90 );
     
     rotAngle = 0.0f;
     rotSpeed = 2;
@@ -135,6 +146,11 @@ Boss::Boss( int16_t _x, int16_t _y, uint8_t _id )
         Pieces[i*2+1].color = 0x528a;   //darker gray
     }
 
+    for( int i=0; i<NB_GUNS; i++ )
+    {
+        Guns[i].life = 100;
+        Guns[i].toberemoved = false;
+    }
 
     /* FOR DEBUGGING */
     // gint_world_switch( GINT_CALL( savedata ) );
@@ -159,6 +175,7 @@ void Boss::Update( float dt )
     if (rotAngle>360.0f) rotAngle-=360.0f;
 
 
+    /* Management of the shield part of the boss (rotating circles made of triangles)*/
     uint16_t angleint = (uint16_t) rotAngle;
     uint16_t angledelta = (uint16_t) (360/NB_PIECES_BOSS);
 
@@ -182,6 +199,63 @@ void Boss::Update( float dt )
         if (angleint>=360) angleint -= 360;
     }
 
+   /* Management of the Guns part of the boss (rotating cannons made of sprites)*/
+ 
+    angledelta = (uint16_t) (360/NB_GUNS);
+    angleint = (uint16_t) rotAngle + angledelta/2;
+    if (angleint>=360) angleint -= 360;
+
+    for( int i=0; i<NB_GUNS; i++ )
+    {
+        xGuns[i] = this->x + (this->radiusInt + this->radiusExt) / 2 * FastCosInt( angleint );
+        yGuns[i] = this->y + (this->radiusInt + this->radiusExt) / 2 * FastSinInt( angleint );
+        angleint += angledelta;
+        if (angleint>=360) angleint -= 360;
+    }
+
+
+    uint32_t tempshoot = rtc_ticks();
+
+    bool hasExternalGun = false;    
+
+    if (Shoot_OK( tempshoot, BULLET_ENEMY_RED ))
+    {
+        /* shoot from the rotating cannons (aiming directly the position of the player )*/
+        for( int i=0; i<NB_GUNS; i++ )
+        {
+            if (Guns[i].toberemoved==false)
+            {
+                Vector2D shootDirection( MyPlayer->x - xGuns[i], MyPlayer->y - yGuns[i] );
+                shootDirection.Normalise();
+
+                Bullet *b = new Bullet( (int) xGuns[i] , (int) yGuns[i], (int) shootDirection.x, (int) shootDirection.y, BULLET_ENEMY_RED );
+                MyEnemiesBullets.push_back( b );
+
+                hasExternalGun = true;
+            }
+        }
+    }
+    
+    if (hasExternalGun==false)
+        if(Shoot_OK( tempshoot, BULLET_ENEMY_GREEN ))         
+        {
+            /* central shoot from the main ship only if no more other gun shooting */
+           
+            Bullet *b0 = new Bullet( xmin, (int) y, -3, 0, BULLET_ENEMY_GREEN );
+            MyEnemiesBullets.push_back( b0 );
+        
+            Bullet *b1 = new Bullet( xmin, (int) y, -2, -2, BULLET_ENEMY_BLUE );
+            MyEnemiesBullets.push_back( b1 );
+
+            Bullet *b2 = new Bullet( xmin, (int) y, -2, 2, BULLET_ENEMY_BLUE );
+            MyEnemiesBullets.push_back( b2 );
+
+            Bullet *b3 = new Bullet( xmin, (int) y, -3, -1, BULLET_ENEMY_GREEN );
+            MyEnemiesBullets.push_back( b3 );
+
+            Bullet *b4 = new Bullet( xmin, (int) y, -3, 1, BULLET_ENEMY_GREEN );
+            MyEnemiesBullets.push_back( b4 );
+        }
 
 }
 
@@ -189,7 +263,7 @@ void Boss::Update( float dt )
 void Boss::Render( void )
 {
 
-    if (ID==0 && toberemoved==false)
+    if (toberemoved==false)
     {
         for( int i=0; i<NB_PIECES_BOSS; i++ )
         {
@@ -224,17 +298,38 @@ void Boss::Render( void )
             }
         }
 
+
+        for( int i=0; i<NB_GUNS; i++ )
+        {
+            if (Guns[i].toberemoved==false)
+            {
+                azrp_image_p8_effect( (int) xGuns[i] - img_BossGun.width/2,
+                                      (int) yGuns[i] - img_BossGun.height/2,
+                                     &img_BossGun, DIMAGE_NONE);
+            
+                #if(DEBUG_MODE)
+                    dfont( &milifont_prop );;
+                    int X = (int) xGuns[i] - img_BossGun.width/2 + 15 ;
+                    int Y = (int) yGuns[i] - img_BossGun.height/2 +15;
+                    azrp_print( X, Y, C_WHITE, "%d", Guns[i].life );
+                #endif
+            }
+        }
+
         azrp_image_p8_effect(xmin, ymin, &img_Boss1, DIMAGE_NONE);
     
+
         if (life>life0*2/3) azrp_subimage_p8_effect((int) x - img_Lifebar.width/2, ymin - 9, &img_Lifebar, 0, 7, (img_Lifebar.width*life)/life0, 5, DIMAGE_NONE );
         else if (life>life0/3) azrp_subimage_p8_effect((int) x - img_Lifebar.width/2, ymin - 9, &img_Lifebar, 0, 12, (img_Lifebar.width*life)/life0, 5, DIMAGE_NONE );
         else azrp_subimage_p8_effect((int) x - img_Lifebar.width/2, ymin - 9, &img_Lifebar, 0, 17, (img_Lifebar.width*life)/life0, 5, DIMAGE_NONE );
+    
     };
 }
 
 
 bool Boss::Test_Impact( Bullet *projectile )
 {
+    /* We check if the bullet collides with teh shield of the boss */
     for( int i=0; i< NB_PIECES_BOSS; i++ )
     {
         if (Pieces[i*2].toberemoved == false)
@@ -273,13 +368,65 @@ bool Boss::Test_Impact( Bullet *projectile )
         }
     }
 
+    /* We check if the bullet collides with the cannons of the boss */
+    for( int i=0; i<NB_GUNS; i++ )
+    {
+        if (Guns[i].toberemoved==false)
+        {
+            if (projectile->x >= (int) xGuns[i] - img_BossGun.width/2 &&
+                projectile->x <= (int) xGuns[i] + img_BossGun.width/2 &&
+                projectile->y >= (int) yGuns[i] - img_BossGun.height/2 &&
+                projectile->y <= (int) yGuns[i] + img_BossGun.height/2 )
+            {
+                Guns[i].life -= projectile->strength;
+                if (Guns[i].life<0)                
+                {
+                    Guns[i].toberemoved = true;
+                    Create_Explosion( (int) projectile->x, (int) projectile->y );
+                }       
+                projectile->toberemoved = true;
+                return true;
+            }
+        }
+    }
+
+    /* We check if the bullet collides with the main ship part of the boss */
     if (projectile->x >= xmin && projectile->x <= xmax && projectile->y >= ymin && projectile->y <= ymax )
     {
         life -= projectile->strength;
-        if (life<0) this->toberemoved = true;     
+        if (life<0)
+        {
+            this->toberemoved = true;
+            Create_Explosion( (int) projectile->x, (int) projectile->y );
+        }
         projectile->toberemoved = true;
         return true;
     }
     else return false;
 }
 
+
+
+bool Boss::Shoot_OK( uint32_t tempshoot, uint8_t shootID )
+{
+    if (shootID==BULLET_ENEMY_RED)
+    {
+        if(tempshoot-lastshoot0>10)
+        {
+            lastshoot0=tempshoot;
+            return true;
+        }
+        else return false;
+    }
+    else if (shootID==BULLET_ENEMY_GREEN)
+    {
+        if(tempshoot-lastshoot1>25)
+        {
+            lastshoot1=tempshoot;
+            return true;
+        }
+        else return false;
+    }
+    else return false;
+
+}
\ No newline at end of file
diff --git a/src/boss.h b/src/boss.h
index 42e1a2f..be773f2 100644
--- a/src/boss.h
+++ b/src/boss.h
@@ -10,7 +10,7 @@
 #include <num/num.h>
 #include <sys/types.h>
 #include "bullet.h"
-
+#include "trajectory.h"
 
 
 typedef struct
@@ -22,6 +22,12 @@ typedef struct
 } BossPart;
 
 
+typedef struct
+{
+    int16_t life;
+    bool toberemoved;
+} BossGun;
+
 
 class Boss
 {
@@ -40,15 +46,21 @@ class Boss
         uint8_t ID;
         int16_t life, life0;
         uint8_t speed;                   // speed of the boss
-        uint32_t lastshoot0 = 0;
-        uint32_t lastshoot1 = 0;
-        uint32_t lastshoot2 = 0;
+        uint32_t lastshoot = 0;
         uint8_t rotSpeed;
         bool toberemoved;
 
+        bool hasTrajectory = false;
+        Trajectory *pathToFollow;
+
     private:
         float rotAngle;
-        libnum::num radiusInt, radiusExt; 
+        libnum::num radiusInt, radiusExt;
+
+        uint32_t lastshoot0 = 0;
+        uint32_t lastshoot1 = 0;
+
+        bool Shoot_OK( uint32_t tempshoot, uint8_t shootID );
 };
 
 
diff --git a/src/bullet.cpp b/src/bullet.cpp
index 24fc0da..bb5c375 100644
--- a/src/bullet.cpp
+++ b/src/bullet.cpp
@@ -15,7 +15,8 @@ extern bopti_image_t img_bullet_normal;
 extern bopti_image_t img_bullet_blue;
 extern bopti_image_t img_bullet_laser;
 extern bopti_image_t img_bullet_enemy_blue;
-
+extern bopti_image_t img_bullet_enemy_red;
+extern bopti_image_t img_bullet_enemy_green;
 
 
 Bullet::Bullet( uint16_t lx, uint16_t ly, int16_t dx, int16_t dy, uint8_t id )
@@ -44,6 +45,14 @@ Bullet::Bullet( uint16_t lx, uint16_t ly, int16_t dx, int16_t dy, uint8_t id )
     {
         strength = 2;
     }
+    else if (ID==BULLET_ENEMY_RED)
+    {
+        strength = 3;
+    }
+    else if (ID==BULLET_ENEMY_GREEN)
+    {
+        strength = 5;
+    }
     toberemoved = false;
 }
 
@@ -87,5 +96,15 @@ void Bullet::Render( )
         azrp_image_p8( px-img_bullet_enemy_blue.width/2, py-img_bullet_enemy_blue.height/2, &img_bullet_enemy_blue, DIMAGE_NONE );
         return;
     }
+    else if (ID==BULLET_ENEMY_RED)
+    {
+        azrp_image_p8( px-img_bullet_enemy_red.width/2, py-img_bullet_enemy_red.height/2, &img_bullet_enemy_red, DIMAGE_NONE );
+        return;
+    }
+    else if (ID==BULLET_ENEMY_GREEN)
+    {
+        azrp_image_p8( px-img_bullet_enemy_green.width/2, py-img_bullet_enemy_green.height/2, &img_bullet_enemy_green, DIMAGE_NONE );
+        return;
+    }
 }
 
diff --git a/src/bullet.h b/src/bullet.h
index a3bc480..8ae9470 100644
--- a/src/bullet.h
+++ b/src/bullet.h
@@ -11,6 +11,8 @@ enum
     BULLET_BLUE,
     BULLET_LASER,
     BULLET_ENEMY_BLUE,
+    BULLET_ENEMY_RED,
+    BULLET_ENEMY_GREEN,
 };
 
 
diff --git a/src/config.h b/src/config.h
index e738a22..dc55aa7 100644
--- a/src/config.h
+++ b/src/config.h
@@ -3,9 +3,9 @@
 
 
 
-#define DEBUG_MODE  0
-#define USB 0
-#define MORE_RAM 0
+#define DEBUG_MODE 0
+#define USB 1
+#define MORE_RAM 1
 #define CALCEMU 0
 
 
diff --git a/src/enemy.cpp b/src/enemy.cpp
index b69d03d..9a0914c 100644
--- a/src/enemy.cpp
+++ b/src/enemy.cpp
@@ -107,7 +107,6 @@ void Enemy::Update( float dt )
             Bullet *b = new Bullet( xmin, (int) y, -1, 0, BULLET_ENEMY_BLUE );
             MyEnemiesBullets.push_back( b );
         }
-
     }
 
 
diff --git a/src/main.cpp b/src/main.cpp
index d8c9f51..f788db2 100644
--- a/src/main.cpp
+++ b/src/main.cpp
@@ -484,7 +484,7 @@ int main(void)
 
     azrp_starfield_init( 250 );
 
-    Create_Enemies( );
+    //Create_Enemies( );
 
     MyPlayer = new Player( azrp_width/4, azrp_height/2, 0);
 
@@ -546,7 +546,7 @@ int main(void)
 
 			elapsedTime = ((float) (time_update+time_render));
 
-#if(DEBUG_MODE)
+#if(DEBUG_MODE && USB)
     		if (textoutput && usb_is_open())
             {
 
diff --git a/src/vector2D.h b/src/vector2D.h
new file mode 100644
index 0000000..52b77ea
--- /dev/null
+++ b/src/vector2D.h
@@ -0,0 +1,278 @@
+#ifndef VECTOR2D_H
+#define VECTOR2D_H
+
+#include <num/num.h>
+#include <stdint.h>
+
+#define numPI 3.14159265
+
+libnum::num32 sqrt_num32(libnum::num32 v) {
+  uint32_t t, q, b, r;
+  r = v.v;
+  b = 0x40000000;
+  q = 0;
+  while (b > 0x40) {
+    t = q + b;
+    if (r >= t) {
+      r -= t;
+      q = t + b;
+    }
+    r <<= 1;
+    b >>= 1;
+  }
+  q >>= 8;
+  libnum::num32 ret;
+  ret.v = q;
+  return ret;
+}
+
+/* TO DO : rework these functions for sine and cosine calculation */
+
+libnum::num32 cos_num32(libnum::num32 angle) {
+  //  Taylor serie for cos(x) = 1 - x²/2! + x⁴/4! + x⁶/6! + x⁸/8! + ...
+
+  // Cosine function is even
+  if (angle < libnum::num32(0))
+    return cos_num32(-angle);
+
+  // Look for an angle in the range [0, 2*pi [
+  libnum::num32 anglereduced = angle;
+  while (anglereduced >= libnum::num32(2 * numPI))
+    anglereduced -= libnum::num32(2 * numPI);
+
+  // Exploit the symetry for angle and angle+Pi to reduce the order of the
+  // limited developpement
+  if (anglereduced >= libnum::num(numPI))
+    return -cos_num32(anglereduced - libnum::num(numPI));
+
+  libnum::num32 sum = libnum::num32(1);
+  libnum::num32 angle2 = anglereduced * anglereduced;
+
+  // set first value of the Taylor serie : x⁰/0! = 1/1
+  libnum::num32 numerator = libnum::num32(1);
+  libnum::num32 denominator = libnum::num32(1);
+
+  for (int i = 2; i <= 8; i += 2) {
+    numerator *= (-angle2);
+    denominator *= libnum::num32(i - 1) * libnum::num32(i);
+    sum += (numerator / denominator);
+  }
+
+  return sum;
+}
+
+libnum::num32 sin_num32(libnum::num32 angle) {
+  //  Taylor serie for cos(x) = x/1! - x³/3! + x⁵/5! - x⁷/7! + x⁹/9! + ...
+
+  // Sine function is odd
+  if (angle < libnum::num32(0))
+    return -sin_num32(-angle);
+
+  // Look for an angle in the range [0, 2*pi [
+  libnum::num32 anglereduced = angle;
+  while (anglereduced >= libnum::num32(2 * numPI))
+    anglereduced -= libnum::num32(2 * numPI);
+
+  // Exploit the symetry for angle and angle+Pi to reduce the order of the
+  // limited developpement
+  if (anglereduced >= libnum::num(numPI))
+    return -sin_num32(anglereduced - libnum::num(numPI));
+
+  libnum::num32 sum = anglereduced;
+  libnum::num32 angle2 = anglereduced * anglereduced;
+
+  // set first value of the Taylor serie : x¹/1! = x/1
+  libnum::num32 numerator = anglereduced;
+  libnum::num32 denominator = libnum::num32(1);
+
+  for (int i = 2; i <= 8; i += 2) {
+    numerator *= (-angle2);
+    denominator *= libnum::num32(i) * libnum::num32(i + 1);
+    sum += (numerator / denominator);
+  }
+
+  return sum;
+}
+
+class Vector2D {
+
+public:
+  Vector2D() {
+    this->x = libnum::num32(0);
+    this->y = libnum::num32(0);
+  }
+
+  Vector2D(float x, float y) {
+    this->x = libnum::num32(x);
+    this->y = libnum::num32(y);
+  }
+
+  Vector2D(libnum::num32 x, libnum::num32 y) {
+    this->x = x;
+    this->y = y;
+  }
+
+  Vector2D(const Vector2D &v) {
+    this->x = v.x;
+    this->y = v.y;
+  }
+
+  ~Vector2D() {}
+
+  void Set(Vector2D v) {
+    this->x = v.x;
+    this->y = v.y;
+  }
+
+  void Normalise(void) {
+    libnum::num32 len = this->Length();
+    this->x /= len;
+    this->y /= len;
+  }
+
+  Vector2D Clone(void) {
+    Vector2D NewVector(this->x, this->y);
+    return NewVector;
+  }
+
+  Vector2D MakeVector(Vector2D A, Vector2D B) {
+    Vector2D NewVector(B.x - A.x, B.y - A.y);
+    return NewVector;
+  }
+
+  void AddVectors(Vector2D a, Vector2D b) {
+    this->x = a.x + b.x;
+    this->y = a.y + b.y;
+  }
+
+  void Add(Vector2D v, libnum::num32 scale) {
+    this->x += v.x * scale;
+    this->y += v.y * scale;
+  }
+
+  void SubtractVectors(Vector2D a, Vector2D b) {
+    this->x = a.x - b.x;
+    this->y = a.y - b.y;
+  }
+
+  void Subtract(Vector2D v, libnum::num32 scale) {
+    this->x -= v.x * scale;
+    this->y -= v.y * scale;
+  }
+
+  libnum::num32 Length(void) {
+    return sqrt_num32(this->x * this->x + this->y * this->y);
+  }
+
+  void Scale(libnum::num32 scale) {
+    this->x *= scale;
+    this->y *= scale;
+  }
+
+  libnum::num32 Dot(Vector2D v) { return (this->x * v.x + this->y * v.y); }
+
+  libnum::num32 Det(Vector2D v) { return (this->x * v.y - this->y * v.x); }
+
+  Vector2D PerpCW(void) {
+    Vector2D temp(-this->y, this->x);
+    return temp;
+  }
+
+  Vector2D PerpCCW(void) {
+    Vector2D temp(this->y, -this->x);
+    return temp;
+  }
+
+  /* overloading of most interesting operators */
+  libnum::num32 operator[](uint8_t pos) { return pos == 0 ? x : y; }
+
+  Vector2D &operator=(const Vector2D &v) {
+    this->x = v.x;
+    this->y = v.y;
+    return *this;
+  }
+
+  Vector2D operator+(const Vector2D &v) const {
+    return Vector2D(x + v.x, y + v.y);
+  }
+
+  Vector2D operator-(const Vector2D &v) const {
+    return Vector2D(x - v.x, y - v.y);
+  }
+
+  Vector2D &operator+=(Vector2D const &other) {
+    this->x += other.x;
+    this->y += other.y;
+    return *this;
+  }
+
+  Vector2D operator-() const { return (Vector2D(-x, -y)); }
+
+  Vector2D operator+() const { return *this; }
+
+  Vector2D &operator-=(Vector2D const &other) {
+    this->x -= other.x;
+    this->y -= other.y;
+    return *this;
+  }
+
+  Vector2D &operator*=(libnum::num32 scale) {
+    this->x *= scale;
+    this->y *= scale;
+    return *this;
+  }
+
+  Vector2D &operator/=(libnum::num32 scale) {
+    this->x /= scale;
+    this->y /= scale;
+    return *this;
+  }
+
+  friend Vector2D operator*(libnum::num32 scale, Vector2D const &v) {
+    Vector2D r;
+    r.x = v.x * scale;
+    r.y = v.y * scale;
+    return r;
+  }
+
+  friend Vector2D operator*(Vector2D const &v, libnum::num32 scale) {
+    Vector2D r;
+    r.x = v.x * scale;
+    r.y = v.y * scale;
+    return r;
+  }
+
+  friend Vector2D operator/(Vector2D const &v, libnum::num32 scale) {
+    Vector2D r;
+    r.x = v.x / scale;
+    r.y = v.y / scale;
+    return r;
+  }
+
+  libnum::num32 x;
+  libnum::num32 y;
+};
+
+
+Vector2D ClosestPointOnSegment(Vector2D P, Vector2D A, Vector2D B) {
+  Vector2D AB = B - A;
+
+  libnum::num32 t = AB.Dot(AB);
+
+  if (t == 0)
+    return A;
+
+  libnum::num32 t2 = (P.Dot(AB) - A.Dot(AB)) / t;
+
+  if (t2 < libnum::num32(0))
+    t2 = libnum::num32(0);
+  if (t2 > libnum::num32(1))
+    t2 = libnum::num32(1);
+
+  Vector2D C = A.Clone();
+  C.Add(AB, t2);
+
+  return C;
+}
+
+#endif
\ No newline at end of file