From 8a9afb6041ed8c1825b06f6d27e3999d29fd252a Mon Sep 17 00:00:00 2001
From: Ouhouuhu <40174296+Ouhouuhu@users.noreply.github.com>
Date: Thu, 26 Jan 2023 08:44:09 +0100
Subject: [PATCH] simulation PID

---
 .../BlueCheckerPatternPaper.png               |   Bin 0 -> 14931 bytes
 .../README.md                                 |     2 +
 .../car_data_display.cpython-38.pyc           |   Bin 0 -> 1992 bytes
 .../__pycache__/car_drawer.cpython-38.pyc     |   Bin 0 -> 3611 bytes
 .../__pycache__/car_model.cpython-38.pyc      |   Bin 0 -> 3840 bytes
 .../__pycache__/game.cpython-38.pyc           |   Bin 0 -> 5372 bytes
 .../input_providers.cpython-38.pyc            |   Bin 0 -> 3947 bytes
 .../__pycache__/pid_controller.cpython-38.pyc |   Bin 0 -> 939 bytes
 .../__pycache__/simulator.cpython-38.pyc      |   Bin 0 -> 2780 bytes
 .../__pycache__/tabu_search.cpython-38.pyc    |   Bin 0 -> 13669 bytes
 .../__pycache__/track.cpython-38.pyc          |   Bin 0 -> 9067 bytes
 .../track_2_generator.cpython-38.pyc          |   Bin 0 -> 2258 bytes
 .../analysis.py                               |    58 +
 .../car_data_display.py                       |    38 +
 .../car_drawer.py                             |    73 +
 .../car_model.py                              |   133 +
 .../division_circuit.pdn                      |   Bin 0 -> 47815 bytes
 .../error.json                                |  1928 +++
 .../errorFPS.json                             |   347 +
 .../error_location_perturbation.json          |  2141 +++
 .../etude_error.txt                           |    15 +
 .../2D-car-dynamics-simulation-master/game.py |   206 +
 .../input_providers.py                        |   115 +
 .../paths/direction.png                       |   Bin 0 -> 21641 bytes
 .../paths/errorD_direction.json               |  9614 +++++++++++
 .../paths/errorD_normal.json                  | 14410 ++++++++++++++++
 .../paths/errorD_position.json                |  4822 ++++++
 .../paths/errorT_direction.json               |  1976 +++
 .../paths/errorT_normal.json                  |  1988 +++
 .../paths/errorT_position.json                |  1928 +++
 .../paths/errorT_position_old.json            |  2072 +++
 .../paths/error_direction.png                 |   Bin 0 -> 23434 bytes
 .../paths/error_normal.png                    |   Bin 0 -> 28090 bytes
 .../paths/error_position.png                  |   Bin 0 -> 23472 bytes
 .../paths/normal.png                          |   Bin 0 -> 20704 bytes
 .../paths/position.png                        |   Bin 0 -> 27237 bytes
 .../pid_controller.py                         |    18 +
 .../2D-car-dynamics-simulation-master/run.py  |    15 +
 .../simulator.py                              |    99 +
 .../solution.csv                              |   299 +
 .../solution2.csv                             |   299 +
 .../solution3.csv                             |    50 +
 .../solutionOpt.csv                           |    50 +
 .../tabu_search.py                            |   510 +
 .../test_solution.csv                         |     4 +
 .../track.py                                  |   260 +
 .../track2.svg                                |   902 +
 .../track3.svg                                |  1957 +++
 .../track6.svg                                |   356 +
 .../track_10.svg                              |   501 +
 .../track_11.svg                              |   525 +
 .../track_2_generator.py                      |    75 +
 .../track_8.svg                               |   639 +
 .../track_9.svg                               |   159 +
 54 files changed, 48584 insertions(+)
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_data_display.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_drawer.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_model.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/game.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/input_providers.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/pid_controller.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/simulator.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/tabu_search.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track_2_generator.cpython-38.pyc
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_normal.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_position.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/normal.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/position.png
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution2.csv
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution3.csv
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track2.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track3.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track6.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_10.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_11.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg
 create mode 100644 Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_9.svg

diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md
new file mode 100644
index 0000000..cc865b5
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md
@@ -0,0 +1,2 @@
+# 2D-car-dynamics-simulation
+2D car simulator
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py
new file mode 100644
index 0000000..4b28c7f
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py
@@ -0,0 +1,58 @@
+import xml.etree.ElementTree as ET
+from track_2_generator import create_track, create_double_circles
+from shapely.geometry import Polygon, Point, LineString
+import numpy as np
+
+from matplotlib.pyplot import plot, legend
+import json
+
+"""loading track"""
+track_points = create_track(0.5,0,0, (0,0))[:-1]+[(1,0.5)]
+track = Polygon(track_points)
+#outside_l = create_double_circles(0.59375, (0.5,0.5),(1.5,0.5))
+
+"""
+x_shift, y_shift = 1433.0000000000002, -406.0866103896103*2#Tom: 1433.0000000000002, -406.0866103896103*2 / Damien: -540, 960
+R_simu = 150#Tom: 150 / Damien: 350
+R_reel = 0.5
+x_shift, y_shift = x_shift/R_simu-4.77, y_shift/R_simu+2.7 #Tom:-4.77,2.7 / Damien: 1.88, -2.5
+"""
+
+def get_error(name, R_simu, center_x, center_y, start=-1, end=-1):
+    
+    """loading trajectory"""
+    with open(name) as json_file:
+        data = json.load(json_file)
+    
+    x_shift, y_shift = center_x/R_simu, center_y/R_simu
+    
+    time = data["time"]
+    x_l = [(i/R_simu-x_shift)/2+1 for i in data["x"]]
+    y_l = [(i/R_simu-y_shift)/2+0.5 for i in data["y"]]
+    e_l = []
+    
+    if start>=0:
+        x_l = x_l[start:]
+        y_l = y_l[start:]
+        time = time[start:]
+    if end>=0:
+        x_l = x_l[0:end]
+        y_l = y_l[0:end]
+        time = time[0:end]
+
+    for x,y in zip(x_l,y_l):
+        front_center = Point(np.array([x,y]))
+        e = track.distance(front_center)
+        e_l.append(e)
+        
+    return x_l, y_l, time, e_l
+
+#plot([x for x,y in track_points], [y for x,y in track_points])
+#plot([i[0] for i in outside_l], [i[1] for i in outside_l])
+
+prefix = 'paths/'
+suffix = '_normal.json'
+Tom = get_error(prefix+'errorT'+suffix, 150, 1733, -666, 70, 450)
+Damien = get_error(prefix+'errorD'+suffix, 350, 930, 510, 25)
+plot(Damien[2],Damien[3])
+plot(*Tom[2:])
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py
new file mode 100644
index 0000000..bf1612c
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py
@@ -0,0 +1,38 @@
+import pygame
+
+
+class CarDataDisplay:
+    def __init__(self, car, track):
+        self.car = car
+        self.track = track
+        pygame.font.init()
+
+    def display_data(self, screen, position=(0, 0), font='Verdana', size=20):
+        font_color = (255, 255, 255)
+        font = pygame.font.SysFont(font, size)
+        vel_long = font.render('Long velocity: ' + str(round(self.car.velocity.x * 3.6, 2)), False, font_color)
+        vel_lat = font.render("Lat velocity: " + str(round(self.car.velocity.y * 3.6, 2)), False, font_color)
+        rpm = font.render('Engine RPM: ' + str(round(self.car.wheel_rpm * self.car.diff_ratio * self.car.gears[self.car.gear], 2)),
+                          False, font_color)
+        gear = font.render('Gear: ' + str(self.car.gear), False, font_color)
+        steering = font.render('Steering: ' + str(self.car.steering), False, font_color)
+        throttle = font.render('Throttle: ' + str(self.car.throttle), False, font_color)
+        brake = font.render('brake: ' + str(self.car.brakes), False, font_color)
+        velocity = font.render('Velocity: ' + str(round((self.car.velocity.x**2+self.car.velocity.y**2)**0.5 * 3.6, 2)), False, font_color)
+        pos_x = font.render('position.x: ' + str(self.track.car_pos[0]), False, font_color)
+        pos_y = font.render('position.y: ' + str(self.track.car_pos[1]), False, font_color)
+        track_phase = font.render('phase: ' + str(self.track.track_phase), False, font_color)
+        lap_number = font.render('lap: ' + str(self.track.lap_nb), False, font_color)
+        
+        #screen.blit(vel_long, position)
+        #screen.blit(vel_lat, (position[0], position[1] + (size * 5 / 4)))
+        #screen.blit(rpm, (position[0], position[1] + 2 * (size * 5 / 4)))
+        #screen.blit(gear, (position[0], position[1] + 3 * (size * 5/4)))
+        screen.blit(velocity, (position[0], position[1] + 1 * (size * 5/4)))
+        screen.blit(steering, (position[0], position[1] + 2 * (size * 5/4)))
+        screen.blit(throttle, (position[0], position[1] + 3 * (size * 5/4)))
+        screen.blit(pos_x, (position[0], position[1] + 4 * (size * 5/4)))
+        screen.blit(pos_y, (position[0], position[1] + 5 * (size * 5/4)))
+        screen.blit(track_phase, (position[0], position[1] + 6 * (size * 5/4)))
+        screen.blit(lap_number, (position[0], position[1] + 7 * (size * 5/4)))
+        #screen.blit(brake, (position[0], position[1] + 6 * (size * 5/4)))
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py
new file mode 100644
index 0000000..5e1de8e
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py
@@ -0,0 +1,73 @@
+from shapely.geometry.polygon import Polygon
+from shapely.affinity import rotate
+import pygame
+
+
+class CarDrawer:
+    def __init__(self, length=55, width=20, init_position=(1366/2, 768/2)):
+        self.length = length
+        self.width = width
+        self.trace = []
+        self.init_position = init_position
+        pos_x = self.init_position[0]
+        pos_y = self.init_position[1]
+        self.r_center = (pos_x, pos_y)
+
+        self.car_model = Polygon([(pos_x - self.length * 2 / 10, pos_y - self.width / 2),
+                                  (pos_x - self.length * 2 / 10, pos_y + self.width / 2),
+                                  (pos_x + self.length * 8 / 10, pos_y + self.width / 2),
+                                  (pos_x + self.length * 8 / 10, pos_y - self.width / 2)])
+
+        self.f_axle =    Polygon([(pos_x + self.length * 6 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 6 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 6 / 10, pos_y + self.width * 5 / 6)])
+        self.f_tire_1 =  Polygon([(pos_x + self.length * 4.5 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 4.5 / 10, pos_y + self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y + self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y + self.width * 5 / 6)])
+        self.f_tire_2 =  Polygon([(pos_x + self.length * 4.5 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 4.5 / 10, pos_y - self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y - self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y - self.width * 5 / 6)])
+        self.r_axle =    Polygon([(pos_x, pos_y + self.width * 5 / 6),
+                                  (pos_x, pos_y - self.width * 5 / 6),
+                                  (pos_x, pos_y + self.width * 5 / 6)])
+        self.r_tire_1 =  Polygon([(pos_x + self.length * 1.5 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 1.5 / 10, pos_y + self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y + self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y + self.width * 5 / 6)])
+        self.r_tire_2 =  Polygon([(pos_x + self.length * 1.5 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 1.5 / 10, pos_y - self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y - self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y - self.width * 5 / 6)])
+
+    def draw(self, screen, car):
+        car_color = (181, 25, 253)
+        angle = -car.angle
+        steering = car.steering
+
+        car_model = rotate(self.car_model, angle, self.r_center)
+        x, y = car_model.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 255), [(xx, yy) for xx, yy in zip(x, y)])
+        f_axle = rotate(self.f_axle, angle, self.r_center)
+        x_axle, y_axle = f_axle.exterior.xy
+        pygame.draw.polygon(screen, car_color, [(xx, yy) for xx, yy in zip(x_axle, y_axle)], 2)
+        f_tire_1 = rotate(self.f_tire_1, angle, self.r_center)
+        f_tire_1 = rotate(f_tire_1, - steering, (x_axle[0], y_axle[0]))
+        x, y = f_tire_1.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        f_tire_2 = rotate(self.f_tire_2, angle, self.r_center)
+        f_tire_2 = rotate(f_tire_2, - steering, (x_axle[1], y_axle[1]))
+        x, y = f_tire_2.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        r_axle = rotate(self.r_axle, angle, self.r_center)
+        x, y = r_axle.exterior.xy
+        pygame.draw.polygon(screen, car_color, [(xx, yy) for xx, yy in zip(x, y)], 2)
+        r_tire_1 = rotate(self.r_tire_1, angle, self.r_center)
+        x, y = r_tire_1.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        r_tire_2 = rotate(self.r_tire_2, angle, self.r_center)
+        x, y = r_tire_2.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        rect = pygame.Rect(self.r_center[0], self.r_center[1], 5, 5)
+        pygame.draw.rect(screen, (255, 0, 0), rect)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py
new file mode 100644
index 0000000..f58ba58
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py
@@ -0,0 +1,133 @@
+from pygame.math import Vector2
+from math import tan, radians, degrees, pi, atan2, sin, cos
+import numpy as np
+import random
+
+class Car:
+    def __init__(self, x, y, angle=0.0, length=5):
+        self.position = Vector2(x, y)
+        self.velocity = Vector2(0.0, 0.0)
+        self.angle = angle
+        self.length = length
+        self.width = 2
+        self.brake_deceleration = 30000
+        self.free_deceleration = 2
+
+        self.acceleration = Vector2(0, 0)
+        self.steering = 0.0
+        self.gear = 0
+        self.throttle = 0
+        self.brakes = 0
+        self.wheel_rpm = 0
+        self.rpm = 2000
+        self.angular_velocity = 0
+        self.force = Vector2(0, 0)
+
+        # Parts:
+        self.engine = Engine()
+
+        # Characteristics:
+        self.gears = {0: 0, 1: 3, 2: 2, 3: 1.5, 4: 1.25, 5: 1, 6: 0.75, -1: -2.9}
+        self.diff_ratio = 3.42
+        self.n = 0.8  # power transfer efficiency
+        self.wheel_radius = 0.35
+        self.mass = 1100
+        self.rear_wheels_mass = 100
+        self.c_drag = 0.4257
+        self.cornering_stiffness_f = -5.0
+        self.cornering_stiffness_r = -5.2
+        self.max_grip = 2.0
+        self.max_steering = 20
+
+    def get_driver_input(self, throttle, gear, brakes, steering_angle):
+        self.brakes = brakes
+        self.gear = gear
+        #on ajoute des vibrations
+        #self.steering+=random.randint(-5,5)
+        self.steering = steering_angle
+        self.throttle = abs(throttle)
+
+    def update(self, dt):
+        self.rpm = self.wheel_rpm * self.diff_ratio * self.gears[self.gear]
+
+        if self.rpm < 2000:
+            self.rpm = 2000
+
+        traction_force = self.engine.get_torque(self.rpm, self.throttle) * self.diff_ratio * \
+                         self.gears[self.gear] * (self.n / self.wheel_radius) - \
+                         self.brake_deceleration * self.brakes * np.sign(self.velocity.x)
+
+        resistance_force = Vector2(- self.c_drag * self.velocity.x * abs(self.velocity.x) - 12.8 * self.velocity.x,
+                                   - self.c_drag * self.velocity.y * abs(self.velocity.y) - 12.8 * self.velocity.y)
+
+        if self.velocity.x > 5.55:
+            yawspeed = 2 * self.angular_velocity
+
+            if self.velocity.x == 0:
+                rot_angle = 0
+                sideslip = 0
+
+            else:
+                rot_angle = atan2(yawspeed, self.velocity.x)
+                sideslip = atan2(self.velocity.y, self.velocity.x)
+
+            slipanglefront = sideslip + rot_angle - radians(self.steering)
+            slipanglerear = sideslip - rot_angle
+
+            flatf = Vector2(0, 0)
+            flatr = Vector2(0, 0)
+
+            flatf.x = 0
+            flatf.y = self.cornering_stiffness_f * slipanglefront
+            flatf.y = min(self.max_grip, flatf.y)
+            flatf.y = max(-self.max_grip, flatf.y)
+            flatf.y *= self.mass * 4.9
+
+            flatr.x = 0
+            flatr.y = self.cornering_stiffness_r * slipanglerear
+            flatr.y = min(self.max_grip, flatr.y)
+            flatr.y = max(- self.max_grip, flatr.y)
+            flatr.y *= self.mass * 4.9
+
+            self.force.x = traction_force + sin(radians(self.steering)) * flatf.x + flatr.x + resistance_force.x
+            self.force.y = cos(radians(self.steering)) * flatf.y + flatr.y + resistance_force.y
+
+            torque = 1.5 * (flatf.y - flatr.y)
+
+            self.acceleration = self.force / self.mass
+            self.wheel_rpm = self.velocity.x / self.wheel_radius * 30 / pi
+
+            self.velocity += self.acceleration * dt
+            self.position += self.velocity.rotate(-self.angle) * dt
+
+            angular_acceleration = torque / 1000
+            self.angular_velocity += angular_acceleration * dt
+            self.angle += degrees(self.angular_velocity) * dt
+
+        else:
+            self.force.x = traction_force + resistance_force.x
+            self.force.y = resistance_force.y
+            self.acceleration = self.force / self.mass
+            self.wheel_rpm = self.velocity.x / self.wheel_radius * 30 / pi
+
+            self.velocity += self.acceleration * dt
+            if self.steering:
+                turning_radius = self.length / tan(radians(self.steering))
+                angular_velocity = self.velocity.x / turning_radius
+            else:
+                angular_velocity = 0
+
+            self.position += self.velocity.rotate(-self.angle) * dt
+            self.angle += degrees(angular_velocity) * dt
+
+
+class Engine:
+    def __init__(self):
+        self.rpm_lut = np.array([1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000])
+        self.torque_lut = np.array([200, 325, 475, 550, 550, 500, 375, 300, 0])
+
+    def get_torque(self, rpm, throttle):
+        if rpm < 1000:
+            rpm = 1000
+        torque = np.interp(rpm, self.rpm_lut, self.torque_lut)
+        return torque * throttle
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json
new file mode 100644
index 0000000..21505d0
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json
@@ -0,0 +1,1928 @@
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json
new file mode 100644
index 0000000..df18a42
--- /dev/null
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json
new file mode 100644
index 0000000..128cb09
--- /dev/null
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+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt
new file mode 100644
index 0000000..4dd26ee
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt
@@ -0,0 +1,15 @@
+dimensions circuits:
+Simulation:
+	centre: x=1725, y=
+	sommet gauche: x=1632, y=-832
+	bas gauche: x=1565, y=-505
+	sommet droit: x=1855, y=-830
+	bas droit: x=1925, y=-512
+	droite droite: x=2040, y=-675
+	gauche gauche: x=1420 , y=-700
+
+	=> R/2 = -93, -160, 130, 200
+	=> R = 327, 318, 315, 305
+
+	Rmoy = 300
+	
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py
new file mode 100644
index 0000000..f66964a
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py
@@ -0,0 +1,206 @@
+import pygame
+from track import *
+from car_drawer import CarDrawer
+from car_model import Car
+from input_providers import *
+from car_data_display import CarDataDisplay
+from pygame.math import Vector2
+import json
+
+from shapely.geometry import Point
+from random import randint
+
+class Game:
+    def __init__(self, width, height):
+        pygame.init()
+        pygame.display.set_caption("Car model")
+        self.window_width = width
+        self.window_height = height
+        self.screen = pygame.display.set_mode((width, height))
+        self.fps = 1
+        self.background = Background('BlueCheckerPatternPaper.png', [-500, -500])
+
+        self.clock = pygame.time.Clock()
+        self.ticks = 20
+        self.exit = False
+        self.x, self.y = [], []
+        self.time = []
+
+    def run(self):
+
+        car = Car(self.window_width / 20, self.window_height / 20)
+        track = Track('track3.svg')
+        track_drawer = TrackDrawer(track)
+        car.position.x, car.position.y = track.full_path[0][0] / 10 - 1366 / 20, track.full_path[0][1] / 10 - 768 / 20
+        car_drawer = CarDrawer()
+        input_provider = JoystickInputProvider()
+        if not input_provider.joysticks:
+            input_provider = KeyboardInputProvider()
+        car_data_display = CarDataDisplay(car)
+        trace = [(car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2) for _ in range(3)]
+
+        while not self.exit:
+            dt = self.clock.tick(self.fps) / 1000
+
+            # Event queue
+            for event in pygame.event.get():
+                if event.type == pygame.QUIT:
+                    self.exit = True
+
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2))
+
+            # User input
+            car_input = input_provider.get_input()
+            car.get_driver_input(car_input[0], car_input[1], car_input[2], car_input[3])
+            car.update(dt)
+
+            # Drawing
+            self.screen.fill((0, 0, 0))
+            track_drawer.draw(self.screen, car.position * 10, trace)
+            car_drawer.draw(self.screen, car)
+            car_data_display.display_data(self.screen)
+            pygame.display.flip()
+        pygame.quit()
+
+    def run_pid_controller(self, track_path, solution_path='solutionOpt.csv', dt=10):
+        car = Car(self.window_width / 20, self.window_height / 20, angle=90)
+        track = Track(track_path)
+        track_drawer = TrackDrawer(track)
+        solution = pd.read_csv(solution_path, index_col=0)
+        track.apply_deformations(list(solution.Deformation))
+        car.position.x, car.position.y = track.full_path[0][0] / 10 - 1366 / 20, track.full_path[0][1] / 10 - 768 / 20
+        car_drawer = CarDrawer()
+        car_data_display = CarDataDisplay(car, track)
+        input_provider = AutonomousDriver(solution)
+        time = 0
+        trace = [(car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2) for _ in range(3)]
+        last_u = -1
+        while not self.exit:
+            """fps perturbation"""
+            fps = 20
+            u_dt = 1/fps
+            
+            # Handling time
+            self.clock.tick(1 / dt)
+            time += dt
+
+            # Event queue
+            for event in pygame.event.get():
+                if event.type == pygame.QUIT:
+                    self.exit = True
+
+            # Input from solution file and PID controller
+            input_provider.index = track_drawer.chunk_indexes[-1] # Incrementing row index of solution matrix
+            car_input = input_provider.get_input(track.track_phase)
+            
+            turning=car_input[3]
+            
+            """perturbations"""
+            incert_turning = 0 #5°
+            turning += randint(-incert_turning, incert_turning)
+            
+            """limit turning"""
+            max_steering = 30
+            if turning<0:
+                turning = max(turning, -max_steering)
+            else:
+                turning= min(turning, max_steering)
+            
+            if abs(time-last_u)>u_dt:
+                last_u=time
+                car.get_driver_input(car_input[0], car_input[1], car_input[2], turning)
+            car.update(dt)
+
+            # Calculating position of a front center of a car
+            vector = Vector2(40, 0).rotate(-car.angle)
+            vector = np.array((vector.x + 1366 / 2, vector.y + 768 / 2))
+            front_center = Point(np.array((car.position.x * 10, car.position.y * 10)) + vector)
+
+
+            """perturbations"""
+            R_simu = 150
+            R_reel = 8
+            incert_reel = 0 #0.2m
+            incert_simu = incert_reel*R_simu/R_reel
+            
+            incert_simu = int(incert_simu)
+
+            error_x = randint(-incert_simu, incert_simu)
+            error_y = randint(-incert_simu, incert_simu)
+            error_point = Point(front_center.x+error_x, front_center.y+error_y)
+            
+            # Calculating line error as a distance from front center to a given line (path)
+            i = 1# check if mid is past, if yes, track is on the left so we need to adapt
+            if track.is_starting or track.is_ending:
+                input_provider.line_error = track.mid_track-error_point.x
+            else:
+                if not track.is_right:
+                    i=-1
+                e = LineString(track.visible_path).distance(error_point)
+                #print(e)
+                if Polygon(track.visible_path).contains(error_point):
+                    input_provider.line_error = - i * e
+                else:
+                    input_provider.line_error = i * e
+                    
+            self.x.append(front_center.x)
+            self.y.append(front_center.y)
+            self.time.append(time)
+            
+            # Updating trace
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2))
+
+            # Drawing
+            self.screen.fill((0, 0, 0))
+            self.background.set_location([- car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([- car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([- car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            track_drawer.draw(self.screen, car.position * 10, trace)
+            car_drawer.draw(self.screen, car)
+            car_data_display.display_data(self.screen)
+            rect = pygame.Rect(front_center.x - car.position.x * 10, front_center.y - car.position.y * 10, 5, 5)
+            pygame.draw.rect(self.screen, (0, 0, 255), rect)
+            pygame.display.flip()
+            
+            #check if track is done
+            completed = track.max_y<front_center.y
+            if completed:
+                break
+            # Checking if car has passed finishing-line
+            if input_provider.index == len(track.track_chunks) - 1:
+                break
+            
+            
+        # Checking if car completed track
+        # completed = True
+        # for chunk in track.track_chunks:
+        #     if not chunk.is_active:
+        #         completed = False
+        #         break
+
+        print("Time:", time, "Completed:", completed)
+        data = {"time":self.time, "x":self.x, "y":self.y}
+        """saving data"""
+        """
+        with open('error.json', 'w') as outfile:
+            json.dump(data, outfile, indent=4)
+        print('SAVED')
+        """
+        pygame.quit()
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py
new file mode 100644
index 0000000..789de01
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py
@@ -0,0 +1,115 @@
+import pandas as pd
+import pygame
+from pid_controller import PidController
+
+
+class InputProvider:
+    def get_input(self):
+        pass
+
+
+class RecordedInputProvider(InputProvider):
+    def __init__(self, csv_path):
+        self.input_dataframe = pd.read_csv(csv_path, index_col=0)
+        self.index = self.input_dataframe.first_valid_index()
+
+    def get_input(self):
+        if self.index <= self.input_dataframe.last_valid_index():
+            throttle = self.input_dataframe.Throttle[self.index]
+            brakes = self.input_dataframe.Brakes[self.index]
+            steering = self.input_dataframe.Steering[self.index]
+            gear = self.input_dataframe.Gear[self.index]
+            self.index += 1
+            return throttle, gear, brakes, steering
+
+
+class JoystickInputProvider(InputProvider):
+    def __init__(self):
+        self.gear = 0
+        self.gear_timer = 0
+        self.clock = pygame.time.Clock()
+        self.joysticks = []
+        for i in range(pygame.joystick.get_count()):
+            self.joysticks.append(pygame.joystick.Joystick(i))
+            self.joysticks[-1].init()
+            print("Detected pad:", self.joysticks[-1].get_name())
+
+    def get_input(self):
+        self.gear_timer += self.clock.tick()
+        throttle = - self.joysticks[-1].get_axis(3)
+        steering = - self.joysticks[-1].get_axis(4) * 30
+        if self.joysticks[-1].get_axis(2) < - 0.5:
+            brakes = - self.joysticks[-1].get_axis(2) * 5000
+        else:
+            brakes = 0
+
+        if - self.joysticks[-1].get_axis(1) > 0.9 and self.gear < 6 and self.gear_timer > 300:
+            self.gear += 1
+            self.gear_timer = 0
+
+        elif - self.joysticks[-1].get_axis(1) < -0.9 and self.gear > -1 and self.gear_timer > 300:
+            self.gear -= 1
+            self.gear_timer = 0
+
+        return throttle, self.gear, brakes, steering
+
+
+class KeyboardInputProvider(InputProvider):
+    def __init__(self):
+        self.gear = 0
+        self.gear_timer = 0
+        self.clock = pygame.time.Clock()
+
+    def get_input(self):
+        steering = 0
+        self.gear_timer += self.clock.tick()
+
+        if pygame.key.get_pressed()[pygame.K_UP]:
+            throttle = 1
+        else:
+            throttle = 0
+
+        if pygame.key.get_pressed()[pygame.K_DOWN]:
+            brakes = 1
+        else:
+            brakes = 0
+
+        if pygame.key.get_pressed()[pygame.K_LEFT]:
+            steering = 20
+
+        if pygame.key.get_pressed()[pygame.K_RIGHT]:
+            steering = -20
+
+        if pygame.key.get_pressed()[pygame.K_q] and self.gear < 6 and self.gear_timer > 300:
+            self.gear += 1
+            self.gear_timer = 0
+
+        if pygame.key.get_pressed()[pygame.K_a] and self.gear > -1 and self.gear_timer > 300:
+            self.gear -= 1
+            self.gear_timer = 0
+
+        return throttle, self.gear, brakes, steering
+
+
+class AutonomousDriver(InputProvider):
+    def __init__(self, input_file=None):
+        self.input = input_file
+        self.index = self.input.first_valid_index()
+        self.pid_controller = PidController(0, 0, 0)
+        self.line_error = 0
+
+    def get_input(self,phase):
+        if phase=='Loop':
+            self.index=1#testing purposes
+        elif phase=='Beginning':
+            self.index=0
+        else:
+            self.index=2
+        self.pid_controller.p_gain = self.input.P[self.index]
+        self.pid_controller.i_gain = self.input.I[self.index]
+        self.pid_controller.d_gain = self.input.D[self.index]
+        throttle = self.input.Throttle[self.index]
+        gear = self.input.Gear[self.index]
+        brakes = self.input.Brakes[self.index]
+        
+        return throttle, gear, brakes, self.pid_controller.get_control(self.line_error)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json
new file mode 100644
index 0000000..4e8d2f4
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json
@@ -0,0 +1,9614 @@
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json
new file mode 100644
index 0000000..3ae7933
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json
@@ -0,0 +1,14410 @@
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json
new file mode 100644
index 0000000..88776f8
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json
new file mode 100644
index 0000000..4f70cf2
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json
@@ -0,0 +1,1976 @@
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json
new file mode 100644
index 0000000..e227a81
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json
@@ -0,0 +1,1988 @@
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\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json
new file mode 100644
index 0000000..21505d0
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json
@@ -0,0 +1,1928 @@
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\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json
new file mode 100644
index 0000000..7e152b1
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json
@@ -0,0 +1,2072 @@
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py
new file mode 100644
index 0000000..74483f3
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py
@@ -0,0 +1,18 @@
+import numpy as np
+
+
+class PidController:
+    def __init__(self, p_gain, i_gain, d_gain, set_point=0):
+        self.p_gain = p_gain
+        self.i_gain = i_gain
+        self.d_gain = d_gain
+        self.set_point = set_point
+        self.integrated_error = 0
+        self.previous_error = 0
+
+    def get_control(self, process_value):
+        error = self.set_point - process_value
+        control = self.p_gain * error + self.i_gain * self.integrated_error + self.d_gain * (error - self.previous_error)
+        self.previous_error = error
+        self.integrated_error += error
+        return np.sign(control) * abs(control)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py
new file mode 100644
index 0000000..2381f54
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py
@@ -0,0 +1,15 @@
+from input_providers import *
+from tqdm import tqdm
+from tabu_search import Search, PointSolution
+from simulator import Simulator
+from game import Game
+
+
+if __name__ == '__main__':
+    game = Game(1366, 768)
+    game.run_pid_controller('track_11.svg', 'test_solution.csv', 0.05)
+    #game.run()
+    #sim = Simulator('track6.svg')
+    #solution = pd.read_csv('solutionOpt.csv', index_col=0)
+    #print(sim.run(0.05, solution))
+
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py
new file mode 100644
index 0000000..aaa8782
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py
@@ -0,0 +1,99 @@
+from track import *
+from car_model import Car
+from input_providers import *
+from pygame.math import Vector2
+
+
+class Simulator:
+    def __init__(self, track_path, timeout=30):
+        self.track = Track(track_path)
+        self.timeout = timeout
+
+    def run(self, dt, solution, car=None):
+        if car is None:
+            car = Car(1366 / 20, 768 / 20)
+
+        car.position.x, car.position.y = self.track.path[0][0] / 10 - 1366 / 20, self.track.path[0][1] / 10 - 768 / 20
+        self.track.apply_deformations(list(solution.Deformation))
+        input_provider = AutonomousDriver(solution)
+        time = 0
+        trace = [(car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2) for _ in range(3)]
+
+        # Indicators
+
+        track_path_length = LineString(self.track.path).length / 10  # length of path loaded from solution
+        regulation_quality_indicator_square = 0  # integral of squared error values
+        regulation_quality_indicator_abs = 0  # integral of abs values
+        max_line_error = 0  # error in m
+        average_slip = 0  # average of abs lateral speed in m / s
+        slip_indicator = 0  # integral of squared speed in m / s^2
+        max_speed_long = 0  # m / s^2
+        max_speed_lat = 0  # m / s^2
+        average_speed_long = 0  # average speed longitudinal in m
+        average_rpm = 0
+        max_rpm = 0
+        number_of_iterations = 0  # helper variable for computing averages
+
+
+        while True:
+            time += dt
+            if time > self.timeout:
+                break
+
+            # User input
+            indexes = self.track.check_car_position(trace)
+            input_provider.index = indexes[-1]
+
+            car_input = input_provider.get_input()
+            car.get_driver_input(car_input[0], car_input[1], car_input[2], car_input[3])
+            car.update(dt)
+
+            vector = Vector2(40, 0).rotate(-car.angle)
+            vector = np.array((vector.x + 1366 / 2, vector.y + 768 / 2))
+            front_center = Point(np.array((car.position.x * 10, car.position.y * 10)) + vector)
+            if Polygon(self.track.path).contains(front_center):
+                input_provider.line_error = - LineString(self.track.path).distance(front_center)
+            else:
+                input_provider.line_error = LineString(self.track.path).distance(front_center)
+
+            # Update solution indicators
+
+            number_of_iterations += 1
+            average_rpm = average_rpm * (number_of_iterations - 1) / number_of_iterations + car.rpm / number_of_iterations
+            average_speed_long = average_speed_long * (number_of_iterations - 1) / number_of_iterations + car.velocity.x / number_of_iterations
+            average_slip = average_slip * (number_of_iterations - 1) / number_of_iterations + abs(car.velocity.y) / number_of_iterations
+
+            regulation_quality_indicator_square += (input_provider.line_error / 10) ** 2
+            regulation_quality_indicator_abs += abs(input_provider.line_error / 10)
+            if abs(input_provider.line_error) / 10 > max_line_error:
+                max_line_error = abs(input_provider.line_error) / 10
+            slip_indicator += car.velocity.y ** 2
+            if car.velocity.x > max_speed_long:
+                max_speed_long = car.velocity.x
+            if abs(car.velocity.y) > max_speed_lat:
+                max_speed_lat = abs(car.velocity.y)
+            if car.rpm > max_rpm:
+                max_rpm = car.rpm
+
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2))
+
+            if input_provider.index == len(self.track.track_chunks) - 1:
+                break
+
+        finished = True
+        for chunk in self.track.track_chunks:
+            if not chunk.is_active:
+                finished = False
+                break
+
+        for index in range(1, len(self.track.track_chunks)):
+            self.track.track_chunks[index].is_active = False
+        if finished and time < self.timeout:
+            return time, (track_path_length, average_rpm, average_speed_long, average_slip,
+                          regulation_quality_indicator_abs, regulation_quality_indicator_square,
+                          max_line_error, slip_indicator, max_speed_long, max_speed_lat, max_rpm)
+        else:
+            return 99999, (track_path_length, average_rpm, average_speed_long, average_slip,
+                          regulation_quality_indicator_abs, regulation_quality_indicator_square,
+                          max_line_error, slip_indicator, max_speed_long, max_speed_lat, max_rpm)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv
new file mode 100644
index 0000000..1d5c21e
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv
@@ -0,0 +1,299 @@
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new file mode 100644
index 0000000..388edc5
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+11,0.5,0.005,10,0.5,1,0,0.5
+12,0.5,0.005,10,0.5,1,0,0.5
+13,0.5,0.005,10,0.5,1,0,0.5
+14,0.5,0.005,10,0.5,1,0,0.5
+15,0.5,0.005,10,0.5,1,0,0.5
+16,0.5,0.005,10,0.5,1,0,0.5
+17,0.5,0.005,10,0.5,1,0,0.5
+18,0.5,0.005,10,0.5,1,0,0.5
+19,0.5,0.005,10,0.5,1,0,0.5
+20,0.5,0.005,10,0.5,1,0,0.5
+21,0.5,0.005,10,0.5,1,0,0.5
+22,0.5,0.005,10,0.5,1,0,0.5
+23,0.5,0.005,10,0.5,1,0,0.5
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+25,0.5,0.005,10,0.5,1,0,0.5
+26,0.5,0.005,10,0.5,1,0,0.5
+27,0.5,0.005,10,0.5,1,0,0.5
+28,0.5,0.005,10,0.5,1,0,0.5
+29,0.5,0.005,10,0.5,1,0,0.5
+30,0.5,0.005,10,0.5,1,0,0.5
+31,0.5,0.005,10,0.5,1,0,0.5
+32,0.5,0.005,10,0.5,1,0,0.5
+33,0.5,0.005,10,0.5,1,0,0.5
+34,0.5,0.005,10,0.5,1,0,0.5
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+36,0.5,0.005,10,0.5,1,0,0.5
+37,0.5,0.005,10,0.5,1,0,0.5
+38,0.5,0.005,10,0.5,1,0,0.5
+39,0.5,0.005,10,0.5,1,0,0.5
+40,0.5,0.005,10,0.5,1,0,0.5
+41,0.5,0.005,10,0.5,1,0,0.5
+42,0.5,0.005,10,0.5,1,0,0.5
+43,0.5,0.005,10,0.5,1,0,0.5
+44,0.5,0.005,10,0.5,1,0,0.5
+45,0.5,0.005,10,0.5,1,0,0.5
+46,0.5,0.005,10,0.5,1,0,0.5
+47,0.5,0.005,10,0.5,1,0,0.5
+48,0.5,0.005,10,0.5,1,0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv
new file mode 100644
index 0000000..d0ca206
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv
@@ -0,0 +1,50 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+1,0.5,0.005,10.0,1.0,1.0,0.0,0.5
+2,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+3,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+4,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+5,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+6,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+7,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+8,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+9,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+10,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+11,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+12,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+13,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+14,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+15,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+16,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+17,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+18,0.5,0.005,10.0,0.5,1.0,0.0,0.5
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+28,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+29,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+30,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+31,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+32,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+33,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+34,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+35,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+36,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+37,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+38,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+39,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+40,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+41,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+42,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+43,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+44,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+45,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+46,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+47,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+48,0.5,0.005,10.0,0.5,1.0,0.0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py
new file mode 100644
index 0000000..77cf228
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py
@@ -0,0 +1,510 @@
+import numpy as np
+from operator import itemgetter
+import bisect
+import matplotlib.pyplot as plt
+from simulator import Simulator
+from input_providers import *
+from tqdm import tqdm
+from math import floor, e
+
+class Search:
+    def __init__(self, init_solution, track):
+        self.solution = init_solution # podajemy rozwiÄ…zanie poczÄ…tkowe
+
+        self.candidates_list = [] #lista sąsiedztwa z której wybieramy następne rozwiązanie
+        #postać: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, czas_przejazdu)
+        # postać gauss: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, czas_przejazdu, ktory element zostal zmieniony)
+        self.tabu_list = [] #lista zabronień
+        #postać: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, ilość_iteracji)
+
+        #wartosci kroku parametrów
+        self.dP = 0.5
+        self.dI = 0.5
+        self.dD = 1
+        self.dthrottle = 0.5
+        self.dgear = 1
+        self.dbrakes = 0.5
+        self.ddeformation = 0.15
+
+        #ograniczenia na parametry
+        self.maxP = 5
+        self.minP = 0
+
+        self.maxI = 5
+        self.minI = 0
+
+        self.maxD = 20
+        self.minD = 0
+
+        self.maxthrottle = 1
+        self.minthrottle = 0
+
+        self.maxbrakes = 1
+        self.minbrakes = 0
+
+        self.maxgear = 6
+        self.mingear = 0 #wsteczny nie potrzebny
+
+        self.maxdeformation = 1
+        self.mindeformation = 0
+
+        self.stop_num_of_iterations = 100 # warunek stopu liczba iteracji
+        self.stop_time_change = 3 # warunek stopu - poprawa czasu o _ sek
+        self.stop_best_time = -5 # warunek stopu - jesli czasu będzie poniżej wartości
+
+        # symulator do pobierania czasów przejazdu
+        self.sim = Simulator(track)
+
+        self.plot_simulation_indicators = []
+
+        self.first_time = self.simulate(self.solution, True) #czas dla rozwiÄ…zania poczÄ…tkowego
+        self.current_time = self.first_time #przechowywany aktualny czas (można zmienić na tablice żeby zapisywać jak sie zmienialy czasy)
+        self.best_time = self.first_time
+
+        self.num_of_iterations_tabu = 40 #ile iteracji ma zostac na liscie tabu
+
+        self.f0, self.ax0 = plt.subplots(1)
+        self.f1, self.ax1 = plt.subplots(1)
+        self.f2, self.ax2 = plt.subplots(1)
+        self.f3, self.ax3 = plt.subplots(1)
+
+        self.ax0.set_xlim(0, self.stop_num_of_iterations)
+        self.ax0.set_ylim(0, 10)
+        self.ax0.set_title("Current Time")
+        self.liTime, = self.ax0.plot([], [])
+
+        self.ax1.set_xlim(0, self.stop_num_of_iterations)
+        self.ax1.set_ylim(0, 10)
+        self.ax1.set_title("Candidates Times")
+        self.liCandiTime, = self.ax1.plot([], [])
+
+        self.ax2.set_xlim(0, self.stop_num_of_iterations)
+        self.ax2.set_ylim(0, 100)
+        self.ax2.set_title("Tabu size")
+        self.liTabuSize, = self.ax2.plot([], [])
+
+        self.ax3.set_xlim(0, self.stop_num_of_iterations)
+        self.ax3.set_ylim(0, 30)
+        self.ax3.set_title("Tabu usage")
+        self.liTabuUsage, = self.ax3.plot([], [])
+
+        self.plot_times = []
+        self.plot_tabu_used = []
+        self.plot_tabu_size = []
+        self.plot_candidates_times_min = []
+        self.plot_candidates_times_max = []
+        self.plot_candidates_times_mean = []
+
+        self.use_gaussian = False
+        self.use_changes = False
+        self.solutionSize = len(self.solution.values)
+
+        self.changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes]
+        self.maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes]
+        self.minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes]
+
+        self.aspiration_time = 0.2
+
+
+    def search(self):
+        # najpierw generujemy poczÄ…tkowÄ… listÄ™ sÄ…siedztwa
+        if(self.use_gaussian):
+            self.generate_candidates_gaussian()
+        elif self.use_changes:
+            self.generate_candidates_changes()
+        else:
+            self.generate_candidates()
+
+        # póżniej tylko aktualizujemy
+        iterations = 0
+        self.plot_times.append(self.current_time)
+        self.plot_tabu_size.append(len(self.tabu_list))
+        self.plot_candidates_times_min.append(self.candidates_list[0][2])
+        max = 0
+        for j in range(len(self.candidates_list) - 1, 0, -1):
+            if self.candidates_list[j][2] < 99999:
+                max = self.candidates_list[j][2]
+        self.plot_candidates_times_max.append(max)
+        self.plot_candidates_times_mean.append(np.median([x[2] for x in self.candidates_list]))
+        time_change = 0
+        while iterations < self.stop_num_of_iterations and time_change < self.stop_time_change and self.current_time > self.stop_best_time: #warunki stopu
+            self.iterate()
+            time_change = self.first_time - self.current_time
+            iterations += 1
+            if self.current_time < self.best_time:
+                self.best_time = self.current_time
+                self.solution.to_csv("solutionOpt.csv")
+
+            self.plot_times.append(self.current_time)
+            self.plot_tabu_size.append(len(self.tabu_list))
+            self.plot_candidates_times_min.append(self.candidates_list[0][2])
+            #self.plot_candidates_times_max.append(self.candidates_list[len(self.candidates_list) - 1][2])
+            max = 0
+            for j in range(len(self.candidates_list) - 1, 0, -1):
+                if self.candidates_list[j][2] < 99999:
+                    max = self.candidates_list[j][2]
+            self.plot_candidates_times_max.append(max)
+            self.plot_candidates_times_mean.append(np.median([x[2] for x in self.candidates_list]))
+
+
+            #self.liTime.set_xdata(np.arange(iterations))
+            #self.liTabuSize.set_xdata(np.arange(iterations))
+            #self.liTabuUsage.set_xdata(np.arange(iterations))
+
+            #self.liTime.set_ydata(self.plot_times)
+            #self.liTabuSize.set_ydata(self.plot_tabu_size)
+            #self.liTabuUsage.set_ydata(self.plot_tabu_used)
+
+            print(self.current_time)
+            print([x[2] for x in self.candidates_list])
+            #plt.pause(0.01)
+
+
+        self.liTime.set_xdata(np.arange(iterations+1))
+        self.liTabuSize.set_xdata(np.arange(iterations+1))
+        self.liTabuUsage.set_xdata(np.arange(iterations+1))
+
+        self.liTime.set_ydata(self.plot_times)
+        self.liTabuSize.set_ydata(self.plot_tabu_size)
+        self.liTabuUsage.set_ydata(self.plot_tabu_used)
+        self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_min, 'r', np.arange(iterations+1), self.plot_candidates_times_max, 'g', np.arange(iterations+1), self.plot_candidates_times_mean, 'b')
+        print(self.plot_candidates_times_min, self.plot_candidates_times_max, self.plot_candidates_times_mean)
+        #self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_max)
+        #self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_mean)
+        #plt.plot(np.arange(iterations+1), self.plot_candidates_times_min, np.arange(iterations+1), self.plot_candidates_times_max, np.arange(iterations+1), self.plot_candidates_times_mean)
+
+        self.f4, self.ax4 = plt.subplots(1)
+        self.ax4.set_xlim(0, self.stop_num_of_iterations)
+        self.ax4.set_ylim(0, 200)
+        self.ax4.set_title("Path length")
+        self.ax4.plot(np.arange(iterations+1), [x[0] for x in self.plot_simulation_indicators])
+
+        self.f5, self.ax5 = plt.subplots(1)
+        self.ax5.set_xlim(0, self.stop_num_of_iterations)
+        self.ax5.set_ylim(2000, 12000)
+        self.ax5.set_title("RPM")
+        self.ax5.plot(np.arange(iterations + 1), [x[1] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[10] for x in self.plot_simulation_indicators])
+
+        self.f6, self.ax6 = plt.subplots(1)
+        self.ax6.set_xlim(0, self.stop_num_of_iterations)
+        self.ax6.set_ylim(0, 120)
+        self.ax6.set_title("Speed")
+        self.ax6.plot(np.arange(iterations + 1), [x[2] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[8] for x in self.plot_simulation_indicators])
+
+        self.f7, self.ax7 = plt.subplots(1)
+        self.ax7.set_xlim(0, self.stop_num_of_iterations)
+        self.ax7.set_ylim(0, 10)
+        self.ax7.set_title("Side slip")
+        self.ax7.plot(np.arange(iterations + 1), [x[3] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[9] for x in self.plot_simulation_indicators])
+
+        self.f8, self.ax8 = plt.subplots(1)
+        self.ax8.set_xlim(0, self.stop_num_of_iterations)
+        self.ax8.set_ylim(0, 300)
+        self.ax8.set_title("Regulator indicators")
+        self.ax8.plot(np.arange(iterations + 1), [x[4] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[5] for x in self.plot_simulation_indicators])
+
+        self.f10, self.ax10 = plt.subplots(1)
+        self.ax10.set_xlim(0, self.stop_num_of_iterations)
+        self.ax10.set_ylim(0, 10)
+        self.ax10.set_title("Max Line Error")
+        self.ax10.plot(np.arange(iterations + 1), [x[6] for x in self.plot_simulation_indicators])
+
+        self.f9, self.ax9 = plt.subplots(1)
+        self.ax9.set_xlim(0, self.stop_num_of_iterations)
+        self.ax9.set_ylim(0, 1000)
+        self.ax9.set_title("Slip indicator")
+        self.ax9.plot(np.arange(iterations + 1), [x[7] for x in self.plot_simulation_indicators])
+        print(self.candidates_list)
+        plt.pause(6000)
+
+
+    def iterate(self):
+        on_tabu_list = True
+        i = 0
+
+        while on_tabu_list and i < len(self.candidates_list):
+            best_change = self.candidates_list[i]
+            on_tabu_list = self.check_tabu_list(best_change[0], best_change[1])
+            #kryterium aspiracji
+            if self.current_time - best_change[2] > self.aspiration_time and on_tabu_list:
+                on_tabu_list = False
+                print("Uzyte kryterium aspiracji. Poprawa czasu: ", self.current_time - best_change[2])
+            i += 1
+
+        self.plot_tabu_used.append(i-1)
+        self.add_to_tabu(PointSolution(self.solution.values[best_change[1]].copy()), best_change[1])
+
+
+        if(self.use_gaussian):
+            self.modify_gaussian(best_change[0].to_list(), best_change[1], best_change[3])
+            self.update_candidates_gaussian(best_change[1])
+        elif self.use_changes:
+            self.modify_changes(best_change[0].to_list(), best_change[1], best_change[3])
+            self.update_candidates_changes(best_change[1])
+        else:
+            self.solution.iloc[best_change[1]] = best_change[0].to_list()
+            self.update_candidates(best_change[1])
+        self.current_time = self.simulate(self.solution, True)
+        #self.current_time = best_change[2]
+        self.update_tabu()
+
+
+
+
+    def simulate(self, solution, save_indicators=False):
+        t, indicators = self.sim.run(0.05, solution)
+        if save_indicators:
+            self.plot_simulation_indicators.append(indicators)
+        return t
+
+    def generate_candidates(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            init_value = self.solution.values[i].copy()
+            x = self.solution.values[i].copy()
+
+            parameters = x.copy()
+            changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes, self.ddeformation]
+            maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes, self.maxdeformation]
+            minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes, self.mindeformation]
+
+            for j in range(0, 7):
+                if parameters[j] + changes[j] <= maxVals[j]:
+                    parameters[j] += changes[j]
+                self.solution.iloc[i] = parameters.copy()
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t])
+
+                parameters = x.copy()
+
+                if parameters[j] - changes[j] >= minVals[j]:
+                    parameters[j] -= changes[j]
+                self.solution.iloc[i] = parameters.copy()
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t])
+
+                parameters = x.copy()
+
+            self.solution.iloc[i] = init_value.copy()
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates(self, i): #i - gdzie zmiana wystapila
+        init_value = self.solution.values[i].copy()
+        x = self.solution.values[i].copy()
+
+        parameters = x.copy()
+        changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes, self.ddeformation]
+        maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes, self.maxdeformation]
+        minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes, self.mindeformation]
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            x = self.solution.values[index].copy()
+            self.solution.iloc[index] = self.candidates_list[j][0].to_list()
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            self.solution.iloc[index] = x.copy()
+
+
+        for j in range(0, 7):
+            if parameters[j] + changes[j] <= maxVals[j]:
+                parameters[j] += changes[j]
+            self.solution.iloc[i] = parameters.copy()
+            t = self.simulate(self.solution)  # ZAMIENIC NA DOBRA SYMULACJE
+            self.candidates_list.append([PointSolution(parameters), i, t]) #DODAWANIE DO POSORTOWANEJ LISTY
+
+            parameters = x.copy()
+
+            if parameters[j] - changes[j] >= minVals[j]:
+                parameters[j] -= changes[j]
+            self.solution.iloc[i] = parameters.copy()
+            t = self.simulate(self.solution)
+            self.candidates_list.append([PointSolution(parameters), i, t])
+
+            parameters = x.copy()
+        self.solution.iloc[i] = init_value.copy()
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def generate_candidates_gaussian(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            parameters = [0, 0, 0, 0, 0, 0, 0]
+
+            for j in range(0, 5):
+                parameters[j] = self.changes[j]
+                self.modify_gaussian(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                self.modify_gaussian((-1)*parameters, i, j)
+
+                parameters[j] = -self.changes[j]
+                self.modify_gaussian(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                self.modify_gaussian((-1)*parameters, i, j)
+
+                parameters = [0, 0, 0, 0, 0, 0, 0]
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates_gaussian(self, i): #i - gdzie zmiana wystapila
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            self.modify_gaussian(self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            self.modify_gaussian((-1)*self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def modify_gaussian(self, parameters, position, changePosition):
+        factors = generate_list_of_factors(7)
+        if len(parameters) == 0:
+            return
+        for i in range(-3, 3):
+            newPosition = i + position
+            if newPosition < 0 or newPosition >= self.solutionSize:
+                continue
+            newParameters = parameters.copy()
+            if(changePosition != 4):
+                newParameters[changePosition] *= factors[i+3]
+            solutionSum = self.solution.iloc[newPosition][changePosition] + newParameters[changePosition]
+            if solutionSum > self.maxVals[changePosition]:
+                self.solution.iloc[newPosition, changePosition] = self.maxVals[changePosition]
+            elif solutionSum < self.minVals[changePosition]:
+                self.solution.iloc[newPosition, changePosition] = self.minVals[changePosition]
+            else:
+                self.solution.iloc[newPosition, changePosition] = solutionSum
+
+    def generate_candidates_changes(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            parameters = [0, 0, 0, 0, 0, 0, 0]
+
+            for j in range(0, 5):
+                parameters[j] = self.changes[j]
+                modified = self.modify_changes(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                if modified:
+                    self.modify_changes((-1)*parameters, i, j)
+
+                parameters[j] = -self.changes[j]
+                modified = self.modify_changes(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                if modified:
+                    self.modify_changes((-1)*parameters, i, j)
+
+                parameters = [0, 0, 0, 0, 0, 0, 0]
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates_changes(self, i): #i - gdzie zmiana wystapila
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            modified = self.modify_changes(self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            if modified:
+                self.modify_changes((-1)*self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def modify_changes(self, parameters, position, changePosition):
+        if len(parameters) == 0:
+            return False
+        solutionSum = self.solution.iloc[position][changePosition] + parameters[changePosition]
+        if solutionSum < self.maxVals[changePosition] and solutionSum > self.minVals[changePosition]:
+            self.solution.iloc[position, changePosition] = solutionSum
+            return True
+        else:
+            return False
+
+
+    def update_tabu(self):
+        for i in range(0, len(self.tabu_list)-2): #dla -1 czasem przekracza - jedno rozwiÄ…zanie puste jest
+            self.tabu_list[i][2] += 1
+            if self.tabu_list[i][2] > self.num_of_iterations_tabu:
+                del(self.tabu_list[i])
+
+
+
+    def add_to_tabu(self, value, position):
+        self.tabu_list.append([value, position, 1])
+
+    def check_tabu_list(self, value, position):
+        for x in self.tabu_list:
+            if x[1] == position:
+                if x[0] == value:
+                    return True
+        return False
+
+
+
+
+class PointSolution:
+    def __init__(self, list):
+        self.P = list[0]
+        self.I = list[1]
+        self.D = list[2]
+        self.throttle = list[3] #gaz
+        self.gear = list[4] #bieg
+        self.brakes = list[5] #hamulec
+        self.deformation = list[6] #deformacja
+
+    def __eq__(self, solution):
+        if self.P != solution.P:
+            return False
+        if self.I != solution.I:
+            return False
+        if self.D != solution.D:
+            return False
+        if self.throttle != solution.throttle:
+            return False
+        if self.gear != solution.gear:
+            return False
+        if self.brakes != solution.brakes:
+            return False
+        if self.deformation != solution.deformation:
+            return False
+        return True
+
+    def __str__(self):
+        return str(self.to_list())
+
+    def to_list(self):
+        return [self.P, self.I, self.D, self.throttle, self.gear, self.brakes, self.deformation]
+
+
+def generate_list_of_factors(size):
+    deviation = (size - 1) / 4
+    list_of_factors = []
+    for index in range(size):
+        list_of_factors.append(e**(- (index - floor(size / 2)) ** 2 / (2 * deviation ** 2)))
+    return list_of_factors
+
+
+if __name__ == '__main__':
+    #plt.plot(list(range(21)), generate_list_of_factors(21))
+    #plt.show()
+    #solution1 = [PointSolution([1,0,0,0.3,0,0,0.5]) for i in range(100)]
+    solution1 = pd.read_csv('solution3.csv', index_col=0)
+    tabu1 = Search(solution1, 'track6.svg')
+    tabu1.search()
+    #plt.pause(5)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv
new file mode 100644
index 0000000..f44301f
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv
@@ -0,0 +1,4 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,1.0,0.010,5,0.5,1,0,0.5
+1,10.0,0.005,5,0.035,1,0,0.5
+2,1.0,0.010,5,0,1,0.15,0.5
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py
new file mode 100644
index 0000000..4ad8d92
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py
@@ -0,0 +1,260 @@
+import xml.etree.ElementTree as ET
+import pygame
+import numpy as np
+from math import sqrt, sin, cos, e, floor
+import matplotlib.pyplot as plt
+from shapely.geometry import Polygon, Point, LineString
+import copy
+
+
+CIRCLE_TAG_NAME = '{http://www.w3.org/2000/svg}circle'
+
+
+def generate_list_of_factors(size, deviation):
+    list_of_factors = []
+    for index in range(size):
+        list_of_factors.append(e**(- (index - floor(size / 2)) ** 2 / (2 * deviation ** 2)))
+    return list_of_factors
+
+
+class TrackChunk:
+    def __init__(self, point_1=(0, 0), point_2=(0, 0), point_3=(0, 0), point_4=(0, 0)):
+        self.polygon = Polygon([point_1, point_2, point_3, point_4])
+        self.is_active = False
+
+
+class Track:
+    def __init__(self, track_file_path='track3.svg', resize_factor=2.5, width=65):
+        tree = self.read_svg_file(track_file_path)
+        self.width = width
+
+        self.track_points = [(resize_factor * x, -resize_factor * y) for x, y in self.get_all_points(tree)]
+        self.track_polygon = Polygon(self.track_points)
+        self.visible_path = []
+        self.full_path = []
+        
+        self.inner_edge = []
+        self.outer_edge = []
+
+        self.end_first_line = 3
+        self.mid = 39
+        self.up_right = (self.mid-self.end_first_line)//4+self.end_first_line
+        self.down_right = 3*(self.mid-self.end_first_line)//4+self.end_first_line
+        self.start_last_line = len(self.track_points)-3
+        self.up_left = (self.start_last_line-self.mid)//4+self.mid
+        self.down_left = 3*(self.start_last_line-self.mid)//4+self.mid
+        
+        self.miny = -410
+        self.maxy = -930
+        self.minx = 1420
+        self.maxx = 1920
+        
+        self.line_width = 100
+        
+        self.lap_nb=0
+        self.total_lap = 2
+        self.is_right = True
+        self.is_starting = True
+        self.is_ending = False
+        self.mid_track = 1730
+        self.track_phase = "Beginning"#Beginning, LR, Right, RL, Left
+        self.x1, self.x2, self.y1, self.y2 =1850,1580, -600, -580
+        self.current = "0"
+        #self.right = {"xl":1740, "xr":1840, "yu":-650, "yd":-550}
+        #self.left = {"xl":1650,"xr":1720,"yu":-650,"yd":-550}
+        #self.entered_right_cp = False
+        #self.entered_left_cp = False
+        
+        self.car_pos = [0,0]
+
+        for index in range(len(self.track_points) - 1):
+            a1 = self.track_points[index + 1][1] - self.track_points[index][1]
+            b1 = self.track_points[index + 1][0] - self.track_points[index][0]
+            if abs(b1) == 0:
+                vector = np.array((self.width, 0))
+                #continue
+            elif abs(a1) == 0:
+                vector = np.array((0, self.width))
+                continue
+            else:
+                a = b1 / a1
+                x = self.width / sqrt(1 + a ** 2)
+                vector = np.array((x, - a * x))
+            if self.track_polygon.contains(Point(self.track_points[index] + vector)):
+                self.inner_edge.append(self.track_points[index] + vector + [1366/2, 768/2])
+                self.outer_edge.append(self.track_points[index] - vector + [1366/2, 768/2])
+            else:
+                self.inner_edge.append(self.track_points[index] - vector + [1366/2, 768/2])
+                self.outer_edge.append(self.track_points[index] + vector + [1366/2, 768/2])
+
+            self.full_path.append((np.array(self.inner_edge[- 1]) + np.array(self.outer_edge[- 1])) / 2)
+
+        a1 = self.track_points[0][1] - self.track_points[-1][1]
+        b1 = self.track_points[0][0] - self.track_points[-1][0]
+
+        if abs(b1) == 0:
+            vector = np.array((self.width, 0))
+        elif abs(a1) == 0:
+            vector = np.array((0, self.width))
+        else:
+            a = b1 / a1
+            x = self.width / sqrt(1 + a ** 2)
+            vector = np.array((x, - a * x))
+        if self.track_polygon.contains(Point(self.track_points[-1] + vector)):
+            self.inner_edge.append(self.track_points[-1] + vector + [1366/2, 768/2])
+            self.outer_edge.append(self.track_points[-1] - vector + [1366/2, 768/2])
+        else:
+            self.inner_edge.append(self.track_points[-1] - vector + [1366/2, 768/2])
+            self.outer_edge.append(self.track_points[-1] + vector + [1366/2, 768/2])
+
+        self.full_path.append((np.array(self.inner_edge[- 1]) + np.array(self.outer_edge[- 1])) / 2)
+        self.path_deformations = [0.5 for _ in range(len(self.full_path))]
+        self.track_chunks = []
+        for index in range(len(self.outer_edge) - 1, -1, -1):
+                self.track_chunks.append(TrackChunk(self.inner_edge[index - 1], self.outer_edge[index - 1],
+                                                    self.outer_edge[index], self.inner_edge[index]))
+        self.track_chunks = list(reversed(self.track_chunks))
+        self.track_chunks[0].is_active = True
+        self.visible_path = self.full_path[0:self.end_first_line]
+
+
+    def apply_deformations(self, deformations):
+        #if len(deformations) != len(self.path_deformations):
+        #    print("Wrong solution vector length.", len(deformations), " ", len(self.path_deformations))
+        #    return
+        self.path_deformations = [deformations[0] for i in range(len(self.path_deformations))]
+        for j in range(len(self.full_path)):
+            self.full_path[j] = self.path_deformations[j] * self.outer_edge[j] + (1 - self.path_deformations[j]) * self.inner_edge[j]
+
+    def modify_path(self, index, deformation, number_of_neighbours, deviation):
+        if index + number_of_neighbours / 2 > len(self.full_path) - 1:
+            index = index - len(self.full_path) - 1
+        factors = generate_list_of_factors(number_of_neighbours, deviation)
+        for i, factor in enumerate(factors):
+            self.path_deformations[index + i - floor(len(factors) / 2)] += factor * deformation / 20
+            if self.path_deformations[index + i - floor(len(factors) / 2)] > 0.9:
+                self.path_deformations[index + i - floor(len(factors) / 2)] = 0.9
+            if self.path_deformations[index + i - floor(len(factors) / 2)] < 0.1:
+                self.path_deformations[index + i - floor(len(factors) / 2)] = 0.1
+
+        for j in range(len(self.full_path)):
+            self.full_path[j] = self.path_deformations[j] * self.outer_edge[j] + (1 - self.path_deformations[j]) * self.inner_edge[j]
+
+    def update_visible_path(self, pos):
+        #print(pos)
+        if self.current=="0":
+            self.visible_path = self.full_path[:self.end_first_line]
+            if pos[1]<self.y1:
+                self.current="1"
+                self.track_phase = "Loop"
+                self.is_starting=False
+        elif self.current=="1":
+            self.visible_path = self.full_path[self.down_left:self.start_last_line]+self.full_path[self.end_first_line:self.up_right+2]+[np.array([self.maxx, self.miny,]), np.array([self.minx,self.miny])]
+            if pos[0]>self.x1:
+                self.current="2"
+        elif self.current=="2":
+            self.visible_path = self.full_path[self.up_right:self.down_right+10]
+            if pos[0]<self.x1:
+                self.current="3"
+        elif self.current=="3":
+            self.visible_path = self.full_path[self.down_right:self.up_left+10]+[np.array([self.minx, self.maxy,]), np.array([self.maxx,self.maxy])]
+            if pos[0]<self.x2:
+                self.current="4"
+            #if pos[1]<self.mid_track:
+                #self.is_right = False
+        elif self.current=="4":
+            self.visible_path = self.full_path[self.up_left:self.down_left+10]
+            self.is_right = False
+            if pos[0]>self.x2:
+                self.current="5"
+                self.is_right = True
+        elif self.current=="5":
+            self.visible_path = self.full_path[self.down_left:self.start_last_line]+self.full_path[self.end_first_line:self.up_right]+[np.array([self.maxx, self.miny,]), np.array([self.minx,self.miny])]
+            if pos[1]<self.y2:
+                self.lap_nb+=1
+                if self.lap_nb>=self.total_lap:
+                    self.current = "6"
+                    self.is_ending = True
+                    self.track_phase = "End"
+                else:
+                    self.current="1"
+        elif self.current=="6":
+            self.visible_path = self.full_path[self.down_left:]
+        self.is_ending = self.lap_nb>=self.total_lap
+        self.max_y = max([i[1] for i in self.full_path])
+    
+    @staticmethod
+    def circle_to_point(circle):
+        const = 6
+        return float(circle.attrib['cx']) * const, float(circle.attrib['cy']) * const
+
+    @staticmethod
+    def read_svg_file(svg_path):
+        return ET.parse(svg_path)
+
+    def get_all_points(self, tree):
+        circles = []
+        for circle in tree.iter(CIRCLE_TAG_NAME):
+                circles.append(self.circle_to_point(circle))
+        return circles
+
+    def check_car_position(self, trace):
+        indexes = []
+        trace_linestring = LineString(trace)
+        pos = np.mean(trace_linestring.xy[0]), np.mean(trace_linestring.xy[1])
+        self.update_visible_path(pos)
+        self.car_pos = pos
+        for chunk in self.track_chunks:
+            if not chunk.is_active:
+                if chunk.polygon.intersects(trace_linestring):
+                    chunk.is_active = True
+            if chunk.is_active:
+                indexes.append(self.track_chunks.index(chunk))
+
+        return indexes
+
+
+class TrackDrawer:
+    def __init__(self, track):
+        self.track = track
+        self.path_for_drawing = copy.copy(self.track.visible_path)
+        self.inner_edge_for_drawing = copy.copy(self.track.inner_edge)
+        self.outer_edge_for_drawing = copy.copy(self.track.outer_edge)
+        self.chunk_indexes = [0]
+
+    def draw(self, screen, car_position, trace):
+        self.path_for_drawing = copy.copy(self.track.visible_path)
+        for ind, point in enumerate(self.track.visible_path):
+            self.path_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+        for ind, point in enumerate(self.track.inner_edge):
+            self.inner_edge_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+        for ind, point in enumerate(self.track.outer_edge):
+            self.outer_edge_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+
+        self.chunk_indexes = self.track.check_car_position(trace)
+        chunk_xy = {}
+        for index in self.chunk_indexes:
+            chunk_xy[index] = self.track.track_chunks[index].polygon.exterior.xy
+            chunk_xy[index] = [np.array((x, y)) for x, y in zip(chunk_xy[index][0], chunk_xy[index][1])]
+            for ind, point in enumerate(chunk_xy[index]):
+                chunk_xy[index][ind] = point - np.array([car_position.x, car_position.y])
+            #pygame.draw.polygon(screen, (7, 215, 247), chunk_xy[index])
+
+        pygame.draw.lines(screen, (0, 0, 255), False, [(x - car_position.x, y - car_position.y) for x, y in trace], 2)
+        pygame.draw.polygon(screen, (0, 255, 0), self.path_for_drawing, 2)
+        #pygame.draw.rect(screen, (255,0,0), pygame.Rect(self.track.right["xl"],
+        #                                                self.track.right["yu"],
+        #                                                abs(self.track.right["xl"]-self.track.right["xr"]),
+        #                                                abs(self.track.right["yu"]-self.track.right["yd"])),1)
+        #pygame.draw.polygon(screen, (255, 153, 51), self.inner_edge_for_drawing, 10)
+        #pygame.draw.polygon(screen, (255, 153, 51), self.outer_edge_for_drawing, 10)
+
+class Background(pygame.sprite.Sprite):
+    def __init__(self, image_file, location):
+        pygame.sprite.Sprite.__init__(self)  #call Sprite initializer
+        self.image = pygame.image.load(image_file)
+        self.rect = self.image.get_rect()
+        self.rect.left, self.rect.top = location
+
+    def set_location(self, location):
+        self.rect.left, self.rect.top = location
\ No newline at end of file
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diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py
new file mode 100644
index 0000000..856c410
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py
@@ -0,0 +1,75 @@
+from math import cos, sin, pi
+def create_track(r, start_point_distance_y, end_point_distance_y, tot_shift):
+    laps = 1 #nombre de tours
+    resolution_circle = 10 #resolution du cercle en degre
+    resolution_line = 10
+    
+    #contruire les points qui vont former le chemin
+    points = [(0, start_point_distance_y)]
+    current_x, current_y = 0, start_point_distance_y
+    if current_y<0:
+        #faire les points de la première ligne droite
+        while current_y<0:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    #faire les points des cercles
+    current_angle = 0 #angle en degree
+    for i in range(laps):
+        while current_angle<720:
+            rad = current_angle/360*2*pi
+            if 0<current_angle<360:
+                current_x, current_y = r-r*cos(rad), r*sin(rad)
+            else:
+                current_x, current_y = -(r-r*cos(rad)), r*sin(rad)
+            current_angle+=resolution_circle
+            points.append((current_x, current_y))
+        
+    if current_y<end_point_distance_y:
+        current_x=0
+        while current_y<end_point_distance_y:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    
+    #on decale les points 
+    shift_x = -min([x[0] for x in points])
+    shift_y = -min([x[1] for x in points])
+    
+    points = [(x+shift_x+tot_shift[0],y+shift_y+tot_shift[1]) for x,y in points]
+    
+    #print(points)
+    return points
+    
+def create_double_circles(r, left_center, right_center):
+    resolution_circle = 10 #resolution du cercle en degre
+    current_angle=0
+    l_l = []
+    l_r = []
+    while current_angle<360:
+        rad = current_angle/360*2*pi
+        current_x_left, current_y_left = left_center[0]+r*cos(rad), left_center[1]+r*sin(rad)
+        current_x_right, current_y_right = right_center[0]+r*cos(rad), right_center[1]+r*sin(rad)
+        #if current_x_left<(left_center[0]+right_center[0])/2:
+        l_l.append((current_x_left, current_y_left))
+        #if current_x_right>(left_center[0]+right_center[0])/2:
+        l_r.append((current_x_right, current_y_right))
+        current_angle+=resolution_circle
+        
+    return l_l+l_r
+
+if __name__ =="__main__":
+    points = create_track(1, -20, 20)
+    #construire le svg
+    mid = ""
+    #prendre le code autour du chemin
+    f = open("basic_track.svg", "r")
+    t = f.read().split('CUT_HERE')
+    for i,point in enumerate(points):
+        mid += f'<circle \n id="path{i}" \n style="fill:#000000;stroke:none" \n cx="{point[0]}" \n cy="{point[1]}" \n r="0.1" /> \n'
+    t = t[0]+mid+t[1]
+    
+    f = open("track_11.svg", "w")
+    f.write(t)
+    f.close()
+    
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg
new file mode 100644
index 0000000..c3815bc
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-- 
GitLab