openpilot is an open source driver assistance system. openpilot performs the functions of Automated Lane Centering and Adaptive Cruise Control for over 200 supported car makes and models.
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#!/usr/bin/env python3
import math
import numpy as np
from collections import deque
from typing import Any
import capnp
from cereal import messaging, log, car
from openpilot.common.params import Params
from openpilot.common.realtime import DT_MDL, Priority, config_realtime_process
from openpilot.common.swaglog import cloudlog
from openpilot.common.simple_kalman import KF1D
# Default lead acceleration decay set to 50% at 1s
_LEAD_ACCEL_TAU = 1.5
# radar tracks
SPEED, ACCEL = 0, 1 # Kalman filter states enum
# stationary qualification parameters
V_EGO_STATIONARY = 4. # no stationary object flag below this speed
RADAR_TO_CENTER = 2.7 # (deprecated) RADAR is ~ 2.7m ahead from center of car
RADAR_TO_CAMERA = 1.52 # RADAR is ~ 1.5m ahead from center of mesh frame
class KalmanParams:
def __init__(self, dt: float):
# Lead Kalman Filter params, calculating K from A, C, Q, R requires the control library.
# hardcoding a lookup table to compute K for values of radar_ts between 0.01s and 0.2s
assert dt > .01 and dt < .2, "Radar time step must be between .01s and 0.2s"
self.A = [[1.0, dt], [0.0, 1.0]]
self.C = [1.0, 0.0]
#Q = np.matrix([[10., 0.0], [0.0, 100.]])
#R = 1e3
#K = np.matrix([[ 0.05705578], [ 0.03073241]])
dts = [i * 0.01 for i in range(1, 21)]
K0 = [0.12287673, 0.14556536, 0.16522756, 0.18281627, 0.1988689, 0.21372394,
0.22761098, 0.24069424, 0.253096, 0.26491023, 0.27621103, 0.28705801,
0.29750003, 0.30757767, 0.31732515, 0.32677158, 0.33594201, 0.34485814,
0.35353899, 0.36200124]
K1 = [0.29666309, 0.29330885, 0.29042818, 0.28787125, 0.28555364, 0.28342219,
0.28144091, 0.27958406, 0.27783249, 0.27617149, 0.27458948, 0.27307714,
0.27162685, 0.27023228, 0.26888809, 0.26758976, 0.26633338, 0.26511557,
0.26393339, 0.26278425]
self.K = [[np.interp(dt, dts, K0)], [np.interp(dt, dts, K1)]]
class Track:
def __init__(self, identifier: int, v_lead: float, kalman_params: KalmanParams):
self.identifier = identifier
self.cnt = 0
self.aLeadTau = _LEAD_ACCEL_TAU
self.K_A = kalman_params.A
self.K_C = kalman_params.C
self.K_K = kalman_params.K
self.kf = KF1D([[v_lead], [0.0]], self.K_A, self.K_C, self.K_K)
def update(self, d_rel: float, y_rel: float, v_rel: float, v_lead: float, measured: float):
# relative values, copy
self.dRel = d_rel # LONG_DIST
self.yRel = y_rel # -LAT_DIST
self.vRel = v_rel # REL_SPEED
self.vLead = v_lead
self.measured = measured # measured or estimate
# computed velocity and accelerations
if self.cnt > 0:
self.kf.update(self.vLead)
self.vLeadK = float(self.kf.x[SPEED][0])
self.aLeadK = float(self.kf.x[ACCEL][0])
# Learn if constant acceleration
if abs(self.aLeadK) < 0.5:
self.aLeadTau = _LEAD_ACCEL_TAU
else:
self.aLeadTau *= 0.9
self.cnt += 1
def reset_a_lead(self, aLeadK: float, aLeadTau: float):
self.kf = KF1D([[self.vLead], [aLeadK]], self.K_A, self.K_C, self.K_K)
self.aLeadK = aLeadK
self.aLeadTau = aLeadTau
def get_RadarState(self, model_prob: float = 0.0):
return {
"dRel": float(self.dRel),
"yRel": float(self.yRel),
"vRel": float(self.vRel),
"vLead": float(self.vLead),
"vLeadK": float(self.vLeadK),
"aLeadK": float(self.aLeadK),
"aLeadTau": float(self.aLeadTau),
"status": True,
"fcw": self.is_potential_fcw(model_prob),
"modelProb": model_prob,
"radar": True,
"radarTrackId": self.identifier,
}
def potential_low_speed_lead(self, v_ego: float):
# stop for stuff in front of you and low speed, even without model confirmation
# Radar points closer than 0.75, are almost always glitches on toyota radars
return abs(self.yRel) < 1.0 and (v_ego < V_EGO_STATIONARY) and (0.75 < self.dRel < 25)
def is_potential_fcw(self, model_prob: float):
return model_prob > .9
def __str__(self):
ret = f"x: {self.dRel:4.1f} y: {self.yRel:4.1f} v: {self.vRel:4.1f} a: {self.aLeadK:4.1f}"
return ret
def laplacian_pdf(x: float, mu: float, b: float):
b = max(b, 1e-4)
return math.exp(-abs(x-mu)/b)
def match_vision_to_track(v_ego: float, lead: capnp._DynamicStructReader, tracks: dict[int, Track]):
offset_vision_dist = lead.x[0] - RADAR_TO_CAMERA
def prob(c):
prob_d = laplacian_pdf(c.dRel, offset_vision_dist, lead.xStd[0])
prob_y = laplacian_pdf(c.yRel, -lead.y[0], lead.yStd[0])
prob_v = laplacian_pdf(c.vRel + v_ego, lead.v[0], lead.vStd[0])
# This isn't exactly right, but it's a good heuristic
return prob_d * prob_y * prob_v
track = max(tracks.values(), key=prob)
# if no 'sane' match is found return -1
# stationary radar points can be false positives
dist_sane = abs(track.dRel - offset_vision_dist) < max([(offset_vision_dist)*.25, 5.0])
vel_sane = (abs(track.vRel + v_ego - lead.v[0]) < 10) or (v_ego + track.vRel > 3)
if dist_sane and vel_sane:
return track
else:
return None
def get_RadarState_from_vision(lead_msg: capnp._DynamicStructReader, v_ego: float, model_v_ego: float):
lead_v_rel_pred = lead_msg.v[0] - model_v_ego
return {
"dRel": float(lead_msg.x[0] - RADAR_TO_CAMERA),
"yRel": float(-lead_msg.y[0]),
"vRel": float(lead_v_rel_pred),
"vLead": float(v_ego + lead_v_rel_pred),
"vLeadK": float(v_ego + lead_v_rel_pred),
"aLeadK": float(lead_msg.a[0]),
"aLeadTau": 0.3,
"fcw": False,
"modelProb": float(lead_msg.prob),
"status": True,
"radar": False,
"radarTrackId": -1,
}
def get_lead(v_ego: float, ready: bool, tracks: dict[int, Track], lead_msg: capnp._DynamicStructReader,
model_v_ego: float, low_speed_override: bool = True) -> dict[str, Any]:
# Determine leads, this is where the essential logic happens
if len(tracks) > 0 and ready and lead_msg.prob > .5:
track = match_vision_to_track(v_ego, lead_msg, tracks)
else:
track = None
lead_dict = {'status': False}
if track is not None:
lead_dict = track.get_RadarState(lead_msg.prob)
elif (track is None) and ready and (lead_msg.prob > .5):
lead_dict = get_RadarState_from_vision(lead_msg, v_ego, model_v_ego)
if low_speed_override:
low_speed_tracks = [c for c in tracks.values() if c.potential_low_speed_lead(v_ego)]
if len(low_speed_tracks) > 0:
closest_track = min(low_speed_tracks, key=lambda c: c.dRel)
# Only choose new track if it is actually closer than the previous one
if (not lead_dict['status']) or (closest_track.dRel < lead_dict['dRel']):
lead_dict = closest_track.get_RadarState()
return lead_dict
class RadarD:
def __init__(self, delay: float = 0.0):
self.current_time = 0.0
self.tracks: dict[int, Track] = {}
self.kalman_params = KalmanParams(DT_MDL)
self.v_ego = 0.0
self.v_ego_hist = deque([0.0], maxlen=int(round(delay / DT_MDL))+1)
self.last_v_ego_frame = -1
self.radar_state: capnp._DynamicStructBuilder | None = None
self.radar_state_valid = False
self.ready = False
def update(self, sm: messaging.SubMaster, rr: car.RadarData):
self.ready = sm.seen['modelV2']
self.current_time = 1e-9*max(sm.logMonoTime.values())
if sm.recv_frame['carState'] != self.last_v_ego_frame:
self.v_ego = sm['carState'].vEgo
self.v_ego_hist.append(self.v_ego)
self.last_v_ego_frame = sm.recv_frame['carState']
ar_pts = {}
for pt in rr.points:
ar_pts[pt.trackId] = [pt.dRel, pt.yRel, pt.vRel, pt.measured]
# *** remove missing points from meta data ***
for ids in list(self.tracks.keys()):
if ids not in ar_pts:
self.tracks.pop(ids, None)
# *** compute the tracks ***
for ids in ar_pts:
rpt = ar_pts[ids]
# align v_ego by a fixed time to align it with the radar measurement
v_lead = rpt[2] + self.v_ego_hist[0]
# create the track if it doesn't exist or it's a new track
if ids not in self.tracks:
self.tracks[ids] = Track(ids, v_lead, self.kalman_params)
self.tracks[ids].update(rpt[0], rpt[1], rpt[2], v_lead, rpt[3])
# *** publish radarState ***
self.radar_state_valid = sm.all_checks() and len(rr.errors) == 0
self.radar_state = log.RadarState.new_message()
self.radar_state.mdMonoTime = sm.logMonoTime['modelV2']
self.radar_state.radarErrors = list(rr.errors)
self.radar_state.carStateMonoTime = sm.logMonoTime['carState']
if len(sm['modelV2'].velocity.x):
model_v_ego = sm['modelV2'].velocity.x[0]
else:
model_v_ego = self.v_ego
leads_v3 = sm['modelV2'].leadsV3
if len(leads_v3) > 1:
self.radar_state.leadOne = get_lead(self.v_ego, self.ready, self.tracks, leads_v3[0], model_v_ego, low_speed_override=True)
self.radar_state.leadTwo = get_lead(self.v_ego, self.ready, self.tracks, leads_v3[1], model_v_ego, low_speed_override=False)
def publish(self, pm: messaging.PubMaster):
assert self.radar_state is not None
radar_msg = messaging.new_message("radarState")
radar_msg.valid = self.radar_state_valid
radar_msg.radarState = self.radar_state
pm.send("radarState", radar_msg)
# fuses camera and radar data for best lead detection
def main() -> None:
config_realtime_process(5, Priority.CTRL_LOW)
# wait for stats about the car to come in from controls
cloudlog.info("radard is waiting for CarParams")
CP = messaging.log_from_bytes(Params().get("CarParams", block=True), car.CarParams)
cloudlog.info("radard got CarParams")
# *** setup messaging
sm = messaging.SubMaster(['modelV2', 'carState', 'liveTracks'], poll='modelV2')
pm = messaging.PubMaster(['radarState'])
RD = RadarD(CP.radarDelay)
while 1:
sm.update()
RD.update(sm, sm['liveTracks'])
RD.publish(pm)
if __name__ == "__main__":
main()