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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import numpy as np
import sympy as sp
import os
from kalman_helpers import ObservationKind
from ekf_sym import gen_code
def gen_model(name, dim_state):
# check if rebuild is needed
try:
dir_path = os.path.dirname(__file__)
deps = [dir_path + '/' + 'ekf_c.c',
dir_path + '/' + 'ekf_sym.py',
dir_path + '/' + 'loc_local_model.py',
dir_path + '/' + 'loc_local_kf.py']
outs = [dir_path + '/' + name + '.o',
dir_path + '/' + name + '.so',
dir_path + '/' + name + '.cpp']
out_times = map(os.path.getmtime, outs)
dep_times = map(os.path.getmtime, deps)
rebuild = os.getenv("REBUILD", False)
if min(out_times) > max(dep_times) and not rebuild:
return
map(os.remove, outs)
except OSError:
pass
# make functions and jacobians with sympy
# state variables
state_sym = sp.MatrixSymbol('state', dim_state, 1)
state = sp.Matrix(state_sym)
v = state[0:3,:]
omega = state[3:6,:]
vroll, vpitch, vyaw = omega
vx, vy, vz = v
roll_bias, pitch_bias, yaw_bias = state[6:9,:]
odo_scale = state[9,:]
accel = state[10:13,:]
dt = sp.Symbol('dt')
# Time derivative of the state as a function of state
state_dot = sp.Matrix(np.zeros((dim_state, 1)))
state_dot[:3,:] = accel
# Basic descretization, 1st order intergrator
# Can be pretty bad if dt is big
f_sym = sp.Matrix(state + dt*state_dot)
#
# Observation functions
#
# extra args
#imu_rot = euler_rotate(*imu_angles)
#h_gyro_sym = imu_rot*sp.Matrix([vroll + roll_bias,
# vpitch + pitch_bias,
# vyaw + yaw_bias])
h_gyro_sym = sp.Matrix([vroll + roll_bias,
vpitch + pitch_bias,
vyaw + yaw_bias])
speed = vx**2 + vy**2 + vz**2
h_speed_sym = sp.Matrix([sp.sqrt(speed)*odo_scale])
h_relative_motion = sp.Matrix(v)
h_phone_rot_sym = sp.Matrix([vroll,
vpitch,
vyaw])
obs_eqs = [[h_speed_sym, ObservationKind.ODOMETRIC_SPEED, None],
[h_gyro_sym, ObservationKind.PHONE_GYRO, None],
[h_phone_rot_sym, ObservationKind.NO_ROT, None],
[h_relative_motion, ObservationKind.CAMERA_ODO_TRANSLATION, None],
[h_phone_rot_sym, ObservationKind.CAMERA_ODO_ROTATION, None]]
gen_code(name, f_sym, dt, state_sym, obs_eqs, dim_state, dim_state)