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								import numpy as np
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								from common.realtime import sec_since_boot, DT_MDL
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								from common.numpy_fast import interp
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								from system.swaglog import cloudlog
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								from selfdrive.controls.lib.lateral_mpc_lib.lat_mpc import LateralMpc
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								from selfdrive.controls.lib.lateral_mpc_lib.lat_mpc import N as LAT_MPC_N
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								from selfdrive.controls.lib.drive_helpers import CONTROL_N, MIN_SPEED, get_speed_error
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								from selfdrive.controls.lib.desire_helper import DesireHelper
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								import cereal.messaging as messaging
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								from cereal import log
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								TRAJECTORY_SIZE = 33
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								CAMERA_OFFSET = 0.04
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								PATH_COST = 1.0
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								LATERAL_MOTION_COST = 0.11
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								LATERAL_ACCEL_COST = 0.0
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								LATERAL_JERK_COST = 0.04
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								# Extreme steering rate is unpleasant, even
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								# when it does not cause bad jerk.
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								# TODO this cost should be lowered when low
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								# speed lateral control is stable on all cars
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								STEERING_RATE_COST = 700.0
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								class LateralPlanner:
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								  def __init__(self, CP, debug=False):
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								    self.DH = DesireHelper()
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								    # Vehicle model parameters used to calculate lateral movement of car
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								    self.factor1 = CP.wheelbase - CP.centerToFront
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								    self.factor2 = (CP.centerToFront * CP.mass) / (CP.wheelbase * CP.tireStiffnessRear)
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								    self.last_cloudlog_t = 0
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								    self.solution_invalid_cnt = 0
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								    self.path_xyz = np.zeros((TRAJECTORY_SIZE, 3))
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								    self.velocity_xyz = np.zeros((TRAJECTORY_SIZE, 3))
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								    self.plan_yaw = np.zeros((TRAJECTORY_SIZE,))
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								    self.plan_yaw_rate = np.zeros((TRAJECTORY_SIZE,))
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								    self.t_idxs = np.arange(TRAJECTORY_SIZE)
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								    self.y_pts = np.zeros((TRAJECTORY_SIZE,))
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								    self.v_plan = np.zeros((TRAJECTORY_SIZE,))
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								    self.v_ego = 0.0
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								    self.l_lane_change_prob = 0.0
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								    self.r_lane_change_prob = 0.0
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								    self.debug_mode = debug
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								    self.lat_mpc = LateralMpc()
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								    self.reset_mpc(np.zeros(4))
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								  def reset_mpc(self, x0=np.zeros(4)):
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								    self.x0 = x0
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								    self.lat_mpc.reset(x0=self.x0)
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								  def update(self, sm):
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								    # clip speed , lateral planning is not possible at 0 speed
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								    measured_curvature = sm['controlsState'].curvature
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								    v_ego_car = sm['carState'].vEgo
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								    # Parse model predictions
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								    md = sm['modelV2']
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								    if len(md.position.x) == TRAJECTORY_SIZE and len(md.orientation.x) == TRAJECTORY_SIZE:
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								      self.path_xyz = np.column_stack([md.position.x, md.position.y, md.position.z])
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								      self.t_idxs = np.array(md.position.t)
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								      self.plan_yaw = np.array(md.orientation.z)
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								      self.plan_yaw_rate = np.array(md.orientationRate.z)
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								      self.velocity_xyz = np.column_stack([md.velocity.x, md.velocity.y, md.velocity.z])
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								      car_speed = np.linalg.norm(self.velocity_xyz, axis=1) - get_speed_error(md, v_ego_car)
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								      self.v_plan = np.clip(car_speed, MIN_SPEED, np.inf)
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								      self.v_ego = self.v_plan[0]
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								    # Lane change logic
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								    desire_state = md.meta.desireState
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								    if len(desire_state):
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								      self.l_lane_change_prob = desire_state[log.LateralPlan.Desire.laneChangeLeft]
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								      self.r_lane_change_prob = desire_state[log.LateralPlan.Desire.laneChangeRight]
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								    lane_change_prob = self.l_lane_change_prob + self.r_lane_change_prob
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								    self.DH.update(sm['carState'], sm['carControl'].latActive, lane_change_prob)
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								    self.lat_mpc.set_weights(PATH_COST, LATERAL_MOTION_COST,
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								                             LATERAL_ACCEL_COST, LATERAL_JERK_COST,
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								                             STEERING_RATE_COST)
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								    y_pts = self.path_xyz[:LAT_MPC_N+1, 1]
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								    heading_pts = self.plan_yaw[:LAT_MPC_N+1]
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								    yaw_rate_pts = self.plan_yaw_rate[:LAT_MPC_N+1]
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								    self.y_pts = y_pts
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								    assert len(y_pts) == LAT_MPC_N + 1
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								    assert len(heading_pts) == LAT_MPC_N + 1
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								    assert len(yaw_rate_pts) == LAT_MPC_N + 1
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								    lateral_factor = np.clip(self.factor1 - (self.factor2 * self.v_plan**2), 0.0, np.inf)
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								    p = np.column_stack([self.v_plan, lateral_factor])
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								    self.lat_mpc.run(self.x0,
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								                     p,
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								                     y_pts,
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								                     heading_pts,
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								                     yaw_rate_pts)
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								    # init state for next iteration
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								    # mpc.u_sol is the desired second derivative of psi given x0 curv state.
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								    # with x0[3] = measured_yaw_rate, this would be the actual desired yaw rate.
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								    # instead, interpolate x_sol so that x0[3] is the desired yaw rate for lat_control.
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								    self.x0[3] = interp(DT_MDL, self.t_idxs[:LAT_MPC_N + 1], self.lat_mpc.x_sol[:, 3])
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								    #  Check for infeasible MPC solution
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								    mpc_nans = np.isnan(self.lat_mpc.x_sol[:, 3]).any()
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								    t = sec_since_boot()
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								    if mpc_nans or self.lat_mpc.solution_status != 0:
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								      self.reset_mpc()
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								      self.x0[3] = measured_curvature * self.v_ego
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								      if t > self.last_cloudlog_t + 5.0:
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								        self.last_cloudlog_t = t
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								        cloudlog.warning("Lateral mpc - nan: True")
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								    if self.lat_mpc.cost > 1e6 or mpc_nans:
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								      self.solution_invalid_cnt += 1
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								    else:
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								      self.solution_invalid_cnt = 0
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								  def publish(self, sm, pm):
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								    plan_solution_valid = self.solution_invalid_cnt < 2
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								    plan_send = messaging.new_message('lateralPlan')
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								    plan_send.valid = sm.all_checks(service_list=['carState', 'controlsState', 'modelV2'])
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								    lateralPlan = plan_send.lateralPlan
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								    lateralPlan.modelMonoTime = sm.logMonoTime['modelV2']
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								    lateralPlan.dPathPoints = self.y_pts.tolist()
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								    lateralPlan.psis = self.lat_mpc.x_sol[0:CONTROL_N, 2].tolist()
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								    lateralPlan.curvatures = (self.lat_mpc.x_sol[0:CONTROL_N, 3]/self.v_ego).tolist()
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								    lateralPlan.curvatureRates = [float(x/self.v_ego) for x in self.lat_mpc.u_sol[0:CONTROL_N - 1]] + [0.0]
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								    lateralPlan.mpcSolutionValid = bool(plan_solution_valid)
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								    lateralPlan.solverExecutionTime = self.lat_mpc.solve_time
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								    if self.debug_mode:
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							 | 
							
								
							 | 
							
							
								      lateralPlan.solverCost = self.lat_mpc.cost
							 | 
						
					
						
							| 
								
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							 | 
							
								
							 | 
							
							
								      lateralPlan.solverState = log.LateralPlan.SolverState.new_message()
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      lateralPlan.solverState.x = self.lat_mpc.x_sol.tolist()
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      lateralPlan.solverState.u = self.lat_mpc.u_sol.flatten().tolist()
							 | 
						
					
						
							| 
								
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    lateralPlan.desire = self.DH.desire
							 | 
						
					
						
							| 
								
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    lateralPlan.useLaneLines = False
							 | 
						
					
						
							| 
								
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    lateralPlan.laneChangeState = self.DH.lane_change_state
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    lateralPlan.laneChangeDirection = self.DH.lane_change_direction
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    pm.send('lateralPlan', plan_send)
							 |