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								from cereal import car
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								from openpilot.common.numpy_fast import clip, interp
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								from openpilot.common.realtime import DT_CTRL
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								from openpilot.selfdrive.controls.lib.drive_helpers import CONTROL_N, apply_deadzone
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								from openpilot.selfdrive.controls.lib.pid import PIDController
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								from openpilot.selfdrive.modeld.constants import ModelConstants
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								LongCtrlState = car.CarControl.Actuators.LongControlState
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								def long_control_state_trans(CP, active, long_control_state, v_ego, v_target,
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								                             v_target_1sec, brake_pressed, cruise_standstill):
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								  # Ignore cruise standstill if car has a gas interceptor
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								  cruise_standstill = cruise_standstill and not CP.enableGasInterceptor
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								  accelerating = v_target_1sec > v_target
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								  planned_stop = (v_target < CP.vEgoStopping and
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								                  v_target_1sec < CP.vEgoStopping and
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								                  not accelerating)
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								  stay_stopped = (v_ego < CP.vEgoStopping and
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								                  (brake_pressed or cruise_standstill))
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								  stopping_condition = planned_stop or stay_stopped
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								  starting_condition = (v_target_1sec > CP.vEgoStarting and
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								                        accelerating and
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								                        not cruise_standstill and
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								                        not brake_pressed)
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								  started_condition = v_ego > CP.vEgoStarting
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								  if not active:
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								    long_control_state = LongCtrlState.off
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								  else:
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								    if long_control_state in (LongCtrlState.off, LongCtrlState.pid):
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								      long_control_state = LongCtrlState.pid
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								      if stopping_condition:
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								        long_control_state = LongCtrlState.stopping
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								    elif long_control_state == LongCtrlState.stopping:
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								      if starting_condition and CP.startingState:
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								        long_control_state = LongCtrlState.starting
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								      elif starting_condition:
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								        long_control_state = LongCtrlState.pid
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								    elif long_control_state == LongCtrlState.starting:
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								      if stopping_condition:
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								        long_control_state = LongCtrlState.stopping
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								      elif started_condition:
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								        long_control_state = LongCtrlState.pid
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								  return long_control_state
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								class LongControl:
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								  def __init__(self, CP):
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								    self.CP = CP
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								    self.long_control_state = LongCtrlState.off  # initialized to off
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								    self.pid = PIDController((CP.longitudinalTuning.kpBP, CP.longitudinalTuning.kpV),
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								                             (CP.longitudinalTuning.kiBP, CP.longitudinalTuning.kiV),
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								                             k_f=CP.longitudinalTuning.kf, rate=1 / DT_CTRL)
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								    self.v_pid = 0.0
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								    self.last_output_accel = 0.0
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								  def reset(self, v_pid):
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								    """Reset PID controller and change setpoint"""
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								    self.pid.reset()
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								    self.v_pid = v_pid
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								  def update(self, active, CS, long_plan, accel_limits, t_since_plan):
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								    """Update longitudinal control. This updates the state machine and runs a PID loop"""
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								    # Interp control trajectory
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								    speeds = long_plan.speeds
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								    if len(speeds) == CONTROL_N:
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								      v_target_now = interp(t_since_plan, ModelConstants.T_IDXS[:CONTROL_N], speeds)
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								      a_target_now = interp(t_since_plan, ModelConstants.T_IDXS[:CONTROL_N], long_plan.accels)
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								      v_target_lower = interp(self.CP.longitudinalActuatorDelayLowerBound + t_since_plan, ModelConstants.T_IDXS[:CONTROL_N], speeds)
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								      a_target_lower = 2 * (v_target_lower - v_target_now) / self.CP.longitudinalActuatorDelayLowerBound - a_target_now
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								      v_target_upper = interp(self.CP.longitudinalActuatorDelayUpperBound + t_since_plan, ModelConstants.T_IDXS[:CONTROL_N], speeds)
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								      a_target_upper = 2 * (v_target_upper - v_target_now) / self.CP.longitudinalActuatorDelayUpperBound - a_target_now
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								      v_target = min(v_target_lower, v_target_upper)
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								      a_target = min(a_target_lower, a_target_upper)
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								      v_target_1sec = interp(self.CP.longitudinalActuatorDelayUpperBound + t_since_plan + 1.0, ModelConstants.T_IDXS[:CONTROL_N], speeds)
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								    else:
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								      v_target = 0.0
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								      v_target_now = 0.0
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								      v_target_1sec = 0.0
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								      a_target = 0.0
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								    self.pid.neg_limit = accel_limits[0]
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								    self.pid.pos_limit = accel_limits[1]
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								    output_accel = self.last_output_accel
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								    self.long_control_state = long_control_state_trans(self.CP, active, self.long_control_state, CS.vEgo,
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								                                                       v_target, v_target_1sec, CS.brakePressed,
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								                                                       CS.cruiseState.standstill)
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								    if self.long_control_state == LongCtrlState.off:
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								      self.reset(CS.vEgo)
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								      output_accel = 0.
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								    elif self.long_control_state == LongCtrlState.stopping:
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								      if output_accel > self.CP.stopAccel:
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								        output_accel = min(output_accel, 0.0)
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								        output_accel -= self.CP.stoppingDecelRate * DT_CTRL
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								      self.reset(CS.vEgo)
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								    elif self.long_control_state == LongCtrlState.starting:
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								      output_accel = self.CP.startAccel
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								      self.reset(CS.vEgo)
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								    elif self.long_control_state == LongCtrlState.pid:
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								      self.v_pid = v_target_now
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								      # Toyota starts braking more when it thinks you want to stop
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								      # Freeze the integrator so we don't accelerate to compensate, and don't allow positive acceleration
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								      # TODO too complex, needs to be simplified and tested on toyotas
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								      prevent_overshoot = not self.CP.stoppingControl and CS.vEgo < 1.5 and v_target_1sec < 0.7 and v_target_1sec < self.v_pid
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								      deadzone = interp(CS.vEgo, self.CP.longitudinalTuning.deadzoneBP, self.CP.longitudinalTuning.deadzoneV)
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								      freeze_integrator = prevent_overshoot
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								      error = self.v_pid - CS.vEgo
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								      error_deadzone = apply_deadzone(error, deadzone)
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								      output_accel = self.pid.update(error_deadzone, speed=CS.vEgo,
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								                                     feedforward=a_target,
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								                                     freeze_integrator=freeze_integrator)
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								    self.last_output_accel = clip(output_accel, accel_limits[0], accel_limits[1])
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								    return self.last_output_accel
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