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Merge pull request #269 from Gjacquenot/patch-5
🔨 Refactored pure_pursuit.py
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@@ -3,6 +3,7 @@
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Path tracking simulation with pure pursuit steering control and PID speed control.
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author: Atsushi Sakai (@Atsushi_twi)
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Guillaume Jacquenot (@Gjacquenot)
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"""
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import numpy as np
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@@ -17,7 +18,6 @@ dt = 0.1 # [s]
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L = 2.9 # [m] wheel base of vehicle
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old_nearest_point_index = None
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show_animation = True
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@@ -31,17 +31,37 @@ class State:
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self.rear_x = self.x - ((L / 2) * math.cos(self.yaw))
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self.rear_y = self.y - ((L / 2) * math.sin(self.yaw))
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def update(self, a, delta):
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def update(state, a, delta):
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self.x += self.v * math.cos(self.yaw) * dt
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self.y += self.v * math.sin(self.yaw) * dt
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self.yaw += self.v / L * math.tan(delta) * dt
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self.v += a * dt
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self.rear_x = self.x - ((L / 2) * math.cos(self.yaw))
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self.rear_y = self.y - ((L / 2) * math.sin(self.yaw))
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state.x = state.x + state.v * math.cos(state.yaw) * dt
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state.y = state.y + state.v * math.sin(state.yaw) * dt
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state.yaw = state.yaw + state.v / L * math.tan(delta) * dt
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state.v = state.v + a * dt
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state.rear_x = state.x - ((L / 2) * math.cos(state.yaw))
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state.rear_y = state.y - ((L / 2) * math.sin(state.yaw))
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def calc_distance(self, point_x, point_y):
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return state
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dx = self.rear_x - point_x
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dy = self.rear_y - point_y
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return math.hypot(dx, dy)
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class States:
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def __init__(self):
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self.x = []
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self.y = []
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self.yaw = []
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self.v = []
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self.t = []
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def append(self, t , state):
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self.x.append(state.x)
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self.y.append(state.y)
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self.yaw.append(state.yaw)
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self.v.append(state.v)
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self.t.append(t)
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def PIDControl(target, current):
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@@ -50,20 +70,57 @@ def PIDControl(target, current):
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return a
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def pure_pursuit_control(state, cx, cy, pind):
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class Trajectory:
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def __init__(self, cx, cy):
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self.cx = cx
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self.cy = cy
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self.old_nearest_point_index = None
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ind = calc_target_index(state, cx, cy)
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def search_target_index(self, state):
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if self.old_nearest_point_index is None:
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# search nearest point index
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dx = [state.rear_x - icx for icx in self.cx]
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dy = [state.rear_y - icy for icy in self.cy]
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d = np.hypot(dx, dy)
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ind = np.argmin(d)
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self.old_nearest_point_index = ind
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else:
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ind = self.old_nearest_point_index
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distance_this_index = state.calc_distance(self.cx[ind], self.cy[ind])
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while True:
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ind = ind + 1 if (ind + 1) < len(self.cx) else ind
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distance_next_index = state.calc_distance(self.cx[ind], self.cy[ind])
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if distance_this_index < distance_next_index:
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break
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distance_this_index = distance_next_index
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self.old_nearest_point_index = ind
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L = 0.0
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Lf = k * state.v + Lfc
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# search look ahead target point index
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while Lf > L and (ind + 1) < len(self.cx):
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L = state.calc_distance(self.cx[ind], self.cy[ind])
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ind += 1
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return ind
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def pure_pursuit_control(state, trajectory, pind):
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ind = trajectory.search_target_index(state)
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if pind >= ind:
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ind = pind
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if ind < len(cx):
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tx = cx[ind]
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ty = cy[ind]
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if ind < len(trajectory.cx):
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tx = trajectory.cx[ind]
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ty = trajectory.cy[ind]
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else:
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tx = cx[-1]
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ty = cy[-1]
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ind = len(cx) - 1
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tx = trajectory.cx[-1]
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ty = trajectory.cy[-1]
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ind = len(trajectory.cx) - 1
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alpha = math.atan2(ty - state.rear_y, tx - state.rear_x) - state.yaw
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@@ -73,48 +130,6 @@ def pure_pursuit_control(state, cx, cy, pind):
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return delta, ind
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def calc_distance(state, point_x, point_y):
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dx = state.rear_x - point_x
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dy = state.rear_y - point_y
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return math.hypot(dx, dy)
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def calc_target_index(state, cx, cy):
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global old_nearest_point_index
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if old_nearest_point_index is None:
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# search nearest point index
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dx = [state.rear_x - icx for icx in cx]
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dy = [state.rear_y - icy for icy in cy]
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d = [idx ** 2 + idy ** 2 for (idx, idy) in zip(dx, dy)]
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ind = d.index(min(d))
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old_nearest_point_index = ind
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else:
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ind = old_nearest_point_index
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distance_this_index = calc_distance(state, cx[ind], cy[ind])
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while True:
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ind = ind + 1 if (ind + 1) < len(cx) else ind
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distance_next_index = calc_distance(state, cx[ind], cy[ind])
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if distance_this_index < distance_next_index:
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break
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distance_this_index = distance_next_index
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old_nearest_point_index = ind
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L = 0.0
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Lf = k * state.v + Lfc
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# search look ahead target point index
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while Lf > L and (ind + 1) < len(cx):
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dx = cx[ind] - state.rear_x
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dy = cy[ind] - state.rear_y
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L = math.hypot(dx, dy)
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ind += 1
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return ind
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def plot_arrow(x, y, yaw, length=1.0, width=0.5, fc="r", ec="k"):
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"""
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@@ -122,7 +137,7 @@ def plot_arrow(x, y, yaw, length=1.0, width=0.5, fc="r", ec="k"):
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"""
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if not isinstance(x, float):
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for (ix, iy, iyaw) in zip(x, y, yaw):
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for ix, iy, iyaw in zip(x, y, yaw):
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plot_arrow(ix, iy, iyaw)
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else:
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plt.arrow(x, y, length * math.cos(yaw), length * math.sin(yaw),
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@@ -144,25 +159,18 @@ def main():
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lastIndex = len(cx) - 1
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time = 0.0
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x = [state.x]
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y = [state.y]
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yaw = [state.yaw]
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v = [state.v]
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t = [0.0]
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target_ind = calc_target_index(state, cx, cy)
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states = States()
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states.append(time, state)
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trajectory = Trajectory(cx, cy)
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target_ind = trajectory.search_target_index(state)
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while T >= time and lastIndex > target_ind:
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ai = PIDControl(target_speed, state.v)
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di, target_ind = pure_pursuit_control(state, cx, cy, target_ind)
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state = update(state, ai, di)
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di, target_ind = pure_pursuit_control(state, trajectory, target_ind)
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state.update(ai, di)
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time = time + dt
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x.append(state.x)
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y.append(state.y)
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yaw.append(state.yaw)
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v.append(state.v)
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t.append(time)
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time += dt
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states.append(time, state)
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if show_animation: # pragma: no cover
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plt.cla()
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@@ -171,7 +179,7 @@ def main():
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lambda event: [exit(0) if event.key == 'escape' else None])
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plot_arrow(state.x, state.y, state.yaw)
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plt.plot(cx, cy, "-r", label="course")
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plt.plot(x, y, "-b", label="trajectory")
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plt.plot(states.x, states.y, "-b", label="trajectory")
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plt.plot(cx[target_ind], cy[target_ind], "xg", label="target")
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plt.axis("equal")
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plt.grid(True)
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@@ -184,7 +192,7 @@ def main():
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if show_animation: # pragma: no cover
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plt.cla()
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plt.plot(cx, cy, ".r", label="course")
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plt.plot(x, y, "-b", label="trajectory")
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plt.plot(states.x, states.y, "-b", label="trajectory")
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plt.legend()
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plt.xlabel("x[m]")
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plt.ylabel("y[m]")
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@@ -192,7 +200,7 @@ def main():
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plt.grid(True)
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plt.subplots(1)
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plt.plot(t, [iv * 3.6 for iv in v], "-r")
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plt.plot(states.t, [iv * 3.6 for iv in states.v], "-r")
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plt.xlabel("Time[s]")
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plt.ylabel("Speed[km/h]")
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plt.grid(True)
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