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 sys
import numpy as np
import sympy as sp
from rednose.helpers.ekf_sym import EKF_sym, gen_code
from rednose.helpers.lst_sq_computer import LstSqComputer
from rednose.helpers.sympy_helpers import euler_rotate, quat_matrix_r, quat_rotate
from openpilot.selfdrive.locationd.models.constants import ObservationKind
from openpilot.selfdrive.locationd.models.gnss_helpers import parse_pr, parse_prr
EARTH_GM = 3.986005e14 # m^3/s^2 (gravitational constant * mass of earth)
class States():
ECEF_POS = slice(0, 3) # x, y and z in ECEF in meters
ECEF_ORIENTATION = slice(3, 7) # quat for orientation of phone in ecef
ECEF_VELOCITY = slice(7, 10) # ecef velocity in m/s
ANGULAR_VELOCITY = slice(10, 13) # roll, pitch and yaw rates in device frame in radians/s
CLOCK_BIAS = slice(13, 14) # clock bias in light-meters,
CLOCK_DRIFT = slice(14, 15) # clock drift in light-meters/s,
GYRO_BIAS = slice(15, 18) # roll, pitch and yaw biases
ODO_SCALE_UNUSED = slice(18, 19) # odometer scale
ACCELERATION = slice(19, 22) # Acceleration in device frame in m/s**2
FOCAL_SCALE_UNUSED = slice(22, 23) # focal length scale
IMU_FROM_DEVICE_EULER = slice(23, 26) # imu offset angles in radians
GLONASS_BIAS = slice(26, 27) # GLONASS bias in m expressed as bias + freq_num*freq_slope
GLONASS_FREQ_SLOPE = slice(27, 28) # GLONASS bias in m expressed as bias + freq_num*freq_slope
CLOCK_ACCELERATION = slice(28, 29) # clock acceleration in light-meters/s**2,
ACCELEROMETER_SCALE_UNUSED = slice(29, 30) # scale of mems accelerometer
ACCELEROMETER_BIAS = slice(30, 33) # bias of mems accelerometer
# TODO the offset is likely a translation of the sensor, not a rotation of the camera
WIDE_FROM_DEVICE_EULER = slice(33, 36) # wide camera offset angles in radians (tici only)
# We currently do not use ACCELEROMETER_SCALE to avoid instability due to too many free variables
# (ACCELEROMETER_SCALE, ACCELEROMETER_BIAS, IMU_FROM_DEVICE_EULER).
# From experiments we see that ACCELEROMETER_BIAS is more correct than ACCELEROMETER_SCALE
# Error-state has different slices because it is an ESKF
ECEF_POS_ERR = slice(0, 3)
ECEF_ORIENTATION_ERR = slice(3, 6) # euler angles for orientation error
ECEF_VELOCITY_ERR = slice(6, 9)
ANGULAR_VELOCITY_ERR = slice(9, 12)
CLOCK_BIAS_ERR = slice(12, 13)
CLOCK_DRIFT_ERR = slice(13, 14)
GYRO_BIAS_ERR = slice(14, 17)
ODO_SCALE_ERR_UNUSED = slice(17, 18)
ACCELERATION_ERR = slice(18, 21)
FOCAL_SCALE_ERR_UNUSED = slice(21, 22)
IMU_FROM_DEVICE_EULER_ERR = slice(22, 25)
GLONASS_BIAS_ERR = slice(25, 26)
GLONASS_FREQ_SLOPE_ERR = slice(26, 27)
CLOCK_ACCELERATION_ERR = slice(27, 28)
ACCELEROMETER_SCALE_ERR_UNUSED = slice(28, 29)
ACCELEROMETER_BIAS_ERR = slice(29, 32)
WIDE_FROM_DEVICE_EULER_ERR = slice(32, 35)
class LocKalman():
name = "loc"
x_initial = np.array([0, 0, 0,
1, 0, 0, 0,
0, 0, 0,
0, 0, 0,
0, 0,
0, 0, 0,
1,
0, 0, 0,
1,
0, 0, 0,
0, 0,
0,
1,
0, 0, 0,
0, 0, 0], dtype=np.float64)
# state covariance
P_initial = np.diag([1e16, 1e16, 1e16,
10**2, 10**2, 10**2,
10**2, 10**2, 10**2,
1**2, 1**2, 1**2,
1e14, (100)**2,
0.05**2, 0.05**2, 0.05**2,
0.02**2,
2**2, 2**2, 2**2,
0.01**2,
0.01**2, 0.01**2, 0.01**2,
10**2, 1**2,
0.2**2,
0.05**2,
0.05**2, 0.05**2, 0.05**2,
0.01**2, 0.01**2, 0.01**2])
# measurements that need to pass mahalanobis distance outlier rejector
maha_test_kinds = [ObservationKind.ORB_FEATURES, ObservationKind.ORB_FEATURES_WIDE] # , ObservationKind.PSEUDORANGE, ObservationKind.PSEUDORANGE_RATE]
dim_augment = 7
dim_augment_err = 6
@staticmethod
def generate_code(generated_dir, N=4):
dim_augment = LocKalman.dim_augment
dim_augment_err = LocKalman.dim_augment_err
dim_main = LocKalman.x_initial.shape[0]
dim_main_err = LocKalman.P_initial.shape[0]
dim_state = dim_main + dim_augment * N
dim_state_err = dim_main_err + dim_augment_err * N
maha_test_kinds = LocKalman.maha_test_kinds
name = f"{LocKalman.name}_{N}"
# make functions and jacobians with sympy
# state variables
state_sym = sp.MatrixSymbol('state', dim_state, 1)
state = sp.Matrix(state_sym)
x, y, z = state[States.ECEF_POS, :]
q = state[States.ECEF_ORIENTATION, :]
v = state[States.ECEF_VELOCITY, :]
vx, vy, vz = v
omega = state[States.ANGULAR_VELOCITY, :]
vroll, vpitch, vyaw = omega
cb = state[States.CLOCK_BIAS, :]
cd = state[States.CLOCK_DRIFT, :]
roll_bias, pitch_bias, yaw_bias = state[States.GYRO_BIAS, :]
acceleration = state[States.ACCELERATION, :]
imu_from_device_euler = state[States.IMU_FROM_DEVICE_EULER, :]
imu_from_device_euler[0, 0] = 0 # not observable enough
imu_from_device_euler[2, 0] = 0 # not observable enough
glonass_bias = state[States.GLONASS_BIAS, :]
glonass_freq_slope = state[States.GLONASS_FREQ_SLOPE, :]
ca = state[States.CLOCK_ACCELERATION, :]
accel_bias = state[States.ACCELEROMETER_BIAS, :]
wide_from_device_euler = state[States.WIDE_FROM_DEVICE_EULER, :]
wide_from_device_euler[0, 0] = 0 # not observable enough
dt = sp.Symbol('dt')
# calibration and attitude rotation matrices
quat_rot = quat_rotate(*q)
# Got the quat predict equations from here
# A New Quaternion-Based Kalman Filter for
# Real-Time Attitude Estimation Using the Two-Step
# Geometrically-Intuitive Correction Algorithm
A = 0.5 * sp.Matrix([[0, -vroll, -vpitch, -vyaw],
[vroll, 0, vyaw, -vpitch],
[vpitch, -vyaw, 0, vroll],
[vyaw, vpitch, -vroll, 0]])
q_dot = A * q
# Time derivative of the state as a function of state
state_dot = sp.Matrix(np.zeros((dim_state, 1)))
state_dot[States.ECEF_POS, :] = v
state_dot[States.ECEF_ORIENTATION, :] = q_dot
state_dot[States.ECEF_VELOCITY, 0] = quat_rot * acceleration
state_dot[States.CLOCK_BIAS, :] = cd
state_dot[States.CLOCK_DRIFT, :] = ca
# Basic descretization, 1st order intergrator
# Can be pretty bad if dt is big
f_sym = state + dt * state_dot
state_err_sym = sp.MatrixSymbol('state_err', dim_state_err, 1)
state_err = sp.Matrix(state_err_sym)
quat_err = state_err[States.ECEF_ORIENTATION_ERR, :]
v_err = state_err[States.ECEF_VELOCITY_ERR, :]
omega_err = state_err[States.ANGULAR_VELOCITY_ERR, :]
cd_err = state_err[States.CLOCK_DRIFT_ERR, :]
acceleration_err = state_err[States.ACCELERATION_ERR, :]
ca_err = state_err[States.CLOCK_ACCELERATION_ERR, :]
# Time derivative of the state error as a function of state error and state
quat_err_matrix = euler_rotate(quat_err[0], quat_err[1], quat_err[2])
q_err_dot = quat_err_matrix * quat_rot * (omega + omega_err)
state_err_dot = sp.Matrix(np.zeros((dim_state_err, 1)))
state_err_dot[States.ECEF_POS_ERR, :] = v_err
state_err_dot[States.ECEF_ORIENTATION_ERR, :] = q_err_dot
state_err_dot[States.ECEF_VELOCITY_ERR, :] = quat_err_matrix * quat_rot * (acceleration + acceleration_err)
state_err_dot[States.CLOCK_BIAS_ERR, :] = cd_err
state_err_dot[States.CLOCK_DRIFT_ERR, :] = ca_err
f_err_sym = state_err + dt * state_err_dot
# convenient indexing
# q idxs are for quats and p idxs are for other
q_idxs = [[3, dim_augment]] + [[dim_main + n * dim_augment + 3, dim_main + (n + 1) * dim_augment] for n in range(N)]
q_err_idxs = [[3, dim_augment_err]] + [[dim_main_err + n * dim_augment_err + 3, dim_main_err + (n + 1) * dim_augment_err] for n in range(N)]
p_idxs = [[0, 3]] + [[dim_augment, dim_main]] + [[dim_main + n * dim_augment, dim_main + n * dim_augment + 3] for n in range(N)]
p_err_idxs = [[0, 3]] + [[dim_augment_err, dim_main_err]] + [[dim_main_err + n * dim_augment_err, dim_main_err + n * dim_augment_err + 3] for n in range(N)]
# Observation matrix modifier
H_mod_sym = sp.Matrix(np.zeros((dim_state, dim_state_err)))
for p_idx, p_err_idx in zip(p_idxs, p_err_idxs, strict=True):
H_mod_sym[p_idx[0]:p_idx[1], p_err_idx[0]:p_err_idx[1]] = np.eye(p_idx[1] - p_idx[0])
for q_idx, q_err_idx in zip(q_idxs, q_err_idxs, strict=True):
H_mod_sym[q_idx[0]:q_idx[1], q_err_idx[0]:q_err_idx[1]] = 0.5 * quat_matrix_r(state[q_idx[0]:q_idx[1]])[:, 1:]
# these error functions are defined so that say there
# is a nominal x and true x:
# true x = err_function(nominal x, delta x)
# delta x = inv_err_function(nominal x, true x)
nom_x = sp.MatrixSymbol('nom_x', dim_state, 1)
true_x = sp.MatrixSymbol('true_x', dim_state, 1)
delta_x = sp.MatrixSymbol('delta_x', dim_state_err, 1)
err_function_sym = sp.Matrix(np.zeros((dim_state, 1)))
for q_idx, q_err_idx in zip(q_idxs, q_err_idxs, strict=True):
delta_quat = sp.Matrix(np.ones(4))
delta_quat[1:, :] = sp.Matrix(0.5 * delta_x[q_err_idx[0]: q_err_idx[1], :])
err_function_sym[q_idx[0]:q_idx[1], 0] = quat_matrix_r(nom_x[q_idx[0]:q_idx[1], 0]) * delta_quat
for p_idx, p_err_idx in zip(p_idxs, p_err_idxs, strict=True):
err_function_sym[p_idx[0]:p_idx[1], :] = sp.Matrix(nom_x[p_idx[0]:p_idx[1], :] + delta_x[p_err_idx[0]:p_err_idx[1], :])
inv_err_function_sym = sp.Matrix(np.zeros((dim_state_err, 1)))
for p_idx, p_err_idx in zip(p_idxs, p_err_idxs, strict=True):
inv_err_function_sym[p_err_idx[0]:p_err_idx[1], 0] = sp.Matrix(-nom_x[p_idx[0]:p_idx[1], 0] + true_x[p_idx[0]:p_idx[1], 0])
for q_idx, q_err_idx in zip(q_idxs, q_err_idxs, strict=True):
delta_quat = quat_matrix_r(nom_x[q_idx[0]:q_idx[1], 0]).T * true_x[q_idx[0]:q_idx[1], 0]
inv_err_function_sym[q_err_idx[0]:q_err_idx[1], 0] = sp.Matrix(2 * delta_quat[1:])
eskf_params = [[err_function_sym, nom_x, delta_x],
[inv_err_function_sym, nom_x, true_x],
H_mod_sym, f_err_sym, state_err_sym]
#
# Observation functions
#
# extra args
sat_pos_freq_sym = sp.MatrixSymbol('sat_pos', 4, 1)
sat_pos_vel_sym = sp.MatrixSymbol('sat_pos_vel', 6, 1)
# sat_los_sym = sp.MatrixSymbol('sat_los', 3, 1)
# expand extra args
sat_x, sat_y, sat_z, glonass_freq = sat_pos_freq_sym
sat_vx, sat_vy, sat_vz = sat_pos_vel_sym[3:]
h_pseudorange_sym = sp.Matrix([
sp.sqrt(
(x - sat_x)**2 +
(y - sat_y)**2 +
(z - sat_z)**2
) + cb[0]
])
h_pseudorange_glonass_sym = sp.Matrix([
sp.sqrt(
(x - sat_x)**2 +
(y - sat_y)**2 +
(z - sat_z)**2
) + cb[0] + glonass_bias[0] + glonass_freq_slope[0] * glonass_freq
])
los_vector = (sp.Matrix(sat_pos_vel_sym[0:3]) - sp.Matrix([x, y, z]))
los_vector = los_vector / sp.sqrt(los_vector[0]**2 + los_vector[1]**2 + los_vector[2]**2)
h_pseudorange_rate_sym = sp.Matrix([los_vector[0] * (sat_vx - vx) +
los_vector[1] * (sat_vy - vy) +
los_vector[2] * (sat_vz - vz) +
cd[0]])
imu_from_device = euler_rotate(*imu_from_device_euler)
h_gyro_sym = imu_from_device * sp.Matrix([vroll + roll_bias,
vpitch + pitch_bias,
vyaw + yaw_bias])
pos = sp.Matrix([x, y, z])
# add 1 for stability, prevent division by 0
gravity = quat_rot.T * ((EARTH_GM / ((x**2 + y**2 + z**2 + 1)**(3.0 / 2.0))) * pos)
h_acc_sym = imu_from_device * (gravity + acceleration + accel_bias)
h_acc_stationary_sym = acceleration
h_phone_rot_sym = sp.Matrix([vroll, vpitch, vyaw])
h_relative_motion = sp.Matrix(quat_rot.T * v)
obs_eqs = [[h_gyro_sym, ObservationKind.PHONE_GYRO, None],
[h_phone_rot_sym, ObservationKind.NO_ROT, None],
[h_acc_sym, ObservationKind.PHONE_ACCEL, None],
[h_pseudorange_sym, ObservationKind.PSEUDORANGE_GPS, sat_pos_freq_sym],
[h_pseudorange_glonass_sym, ObservationKind.PSEUDORANGE_GLONASS, sat_pos_freq_sym],
[h_pseudorange_rate_sym, ObservationKind.PSEUDORANGE_RATE_GPS, sat_pos_vel_sym],
[h_pseudorange_rate_sym, ObservationKind.PSEUDORANGE_RATE_GLONASS, sat_pos_vel_sym],
[h_relative_motion, ObservationKind.CAMERA_ODO_TRANSLATION, None],
[h_phone_rot_sym, ObservationKind.CAMERA_ODO_ROTATION, None],
[h_acc_stationary_sym, ObservationKind.NO_ACCEL, None]]
wide_from_device = euler_rotate(*wide_from_device_euler)
# MSCKF configuration
if N > 0:
# experimentally found this is correct value for imx298 with 910 focal length
# this is a variable so it can change with focus, but we disregard that for now
# TODO: this isn't correct for tici
focal_scale = 1.01
# Add observation functions for orb feature tracks
track_epos_sym = sp.MatrixSymbol('track_epos_sym', 3, 1)
track_x, track_y, track_z = track_epos_sym
h_track_sym = sp.Matrix(np.zeros(((1 + N) * 2, 1)))
h_track_wide_cam_sym = sp.Matrix(np.zeros(((1 + N) * 2, 1)))
track_pos_sym = sp.Matrix([track_x - x, track_y - y, track_z - z])
track_pos_rot_sym = quat_rot.T * track_pos_sym
track_pos_rot_wide_cam_sym = wide_from_device * track_pos_rot_sym
h_track_sym[-2:, :] = sp.Matrix([focal_scale * (track_pos_rot_sym[1] / track_pos_rot_sym[0]),
focal_scale * (track_pos_rot_sym[2] / track_pos_rot_sym[0])])
h_track_wide_cam_sym[-2:, :] = sp.Matrix([focal_scale * (track_pos_rot_wide_cam_sym[1] / track_pos_rot_wide_cam_sym[0]),
focal_scale * (track_pos_rot_wide_cam_sym[2] / track_pos_rot_wide_cam_sym[0])])
h_msckf_test_sym = sp.Matrix(np.zeros(((1 + N) * 3, 1)))
h_msckf_test_sym[-3:, :] = track_pos_sym
for n in range(N):
idx = dim_main + n * dim_augment
# err_idx = dim_main_err + n * dim_augment_err # FIXME: Why is this not used?
x, y, z = state[idx:idx + 3]
q = state[idx + 3:idx + 7]
quat_rot = quat_rotate(*q)
track_pos_sym = sp.Matrix([track_x - x, track_y - y, track_z - z])
track_pos_rot_sym = quat_rot.T * track_pos_sym
track_pos_rot_wide_cam_sym = wide_from_device * track_pos_rot_sym
h_track_sym[n * 2:n * 2 + 2, :] = sp.Matrix([focal_scale * (track_pos_rot_sym[1] / track_pos_rot_sym[0]),
focal_scale * (track_pos_rot_sym[2] / track_pos_rot_sym[0])])
h_track_wide_cam_sym[n * 2: n * 2 + 2, :] = sp.Matrix([focal_scale * (track_pos_rot_wide_cam_sym[1] / track_pos_rot_wide_cam_sym[0]),
focal_scale * (track_pos_rot_wide_cam_sym[2] / track_pos_rot_wide_cam_sym[0])])
h_msckf_test_sym[n * 3:n * 3 + 3, :] = track_pos_sym
obs_eqs.append([h_msckf_test_sym, ObservationKind.MSCKF_TEST, track_epos_sym])
obs_eqs.append([h_track_sym, ObservationKind.ORB_FEATURES, track_epos_sym])
obs_eqs.append([h_track_wide_cam_sym, ObservationKind.ORB_FEATURES_WIDE, track_epos_sym])
obs_eqs.append([h_track_sym, ObservationKind.FEATURE_TRACK_TEST, track_epos_sym])
msckf_params = [dim_main, dim_augment, dim_main_err, dim_augment_err, N,
[ObservationKind.MSCKF_TEST, ObservationKind.ORB_FEATURES, ObservationKind.ORB_FEATURES_WIDE]]
else:
msckf_params = None
gen_code(generated_dir, name, f_sym, dt, state_sym, obs_eqs, dim_state, dim_state_err, eskf_params, msckf_params, maha_test_kinds)
def __init__(self, generated_dir, N=4, erratic_clock=False):
name = f"{self.name}_{N}"
# process noise
q_clock_error = 100.0 if erratic_clock else 0.1
q_clock_error_rate = 10 if erratic_clock else 0.0
self.Q = np.diag([0.03**2, 0.03**2, 0.03**2,
0.0**2, 0.0**2, 0.0**2,
0.0**2, 0.0**2, 0.0**2,
0.1**2, 0.1**2, 0.1**2,
(q_clock_error)**2, (q_clock_error_rate)**2,
(0.005 / 100)**2, (0.005 / 100)**2, (0.005 / 100)**2,
(0.02 / 100)**2,
3**2, 3**2, 3**2,
0.001**2,
(0.05 / 60)**2, (0.05 / 60)**2, (0.05 / 60)**2,
(.1)**2, (.01)**2,
0.005**2,
(0.02 / 100)**2,
(0.005 / 100)**2, (0.005 / 100)**2, (0.005 / 100)**2,
(0.05 / 60)**2, (0.05 / 60)**2, (0.05 / 60)**2])
self.obs_noise = {ObservationKind.ODOMETRIC_SPEED: np.atleast_2d(0.2**2),
ObservationKind.PHONE_GYRO: np.diag([0.025**2, 0.025**2, 0.025**2]),
ObservationKind.PHONE_ACCEL: np.diag([.5**2, .5**2, .5**2]),
ObservationKind.CAMERA_ODO_ROTATION: np.diag([0.05**2, 0.05**2, 0.05**2]),
ObservationKind.IMU_FRAME: np.diag([0.05**2, 0.05**2, 0.05**2]),
ObservationKind.NO_ROT: np.diag([0.0025**2, 0.0025**2, 0.0025**2]),
ObservationKind.ECEF_POS: np.diag([5**2, 5**2, 5**2]),
ObservationKind.NO_ACCEL: np.diag([0.0025**2, 0.0025**2, 0.0025**2])}
# MSCKF stuff
self.N = N
self.dim_main = LocKalman.x_initial.shape[0]
self.dim_main_err = LocKalman.P_initial.shape[0]
self.dim_state = self.dim_main + self.dim_augment * self.N
self.dim_state_err = self.dim_main_err + self.dim_augment_err * self.N
if self.N > 0:
x_initial, P_initial, Q = self.pad_augmented(self.x_initial, self.P_initial, self.Q) # lgtm[py/mismatched-multiple-assignment]
self.computer = LstSqComputer(generated_dir, N)
self.quaternion_idxs = [3, ] + [(self.dim_main + i * self.dim_augment + 3)for i in range(self.N)]
# init filter
self.filter = EKF_sym(generated_dir, name, Q, x_initial, P_initial, self.dim_main, self.dim_main_err,
N, self.dim_augment, self.dim_augment_err, self.maha_test_kinds, self.quaternion_idxs)
@property
def x(self):
return self.filter.state()
@property
def t(self):
return self.filter.get_filter_time()
@property
def P(self):
return self.filter.covs()
def predict(self, t):
return self.filter.predict(t)
def rts_smooth(self, estimates):
return self.filter.rts_smooth(estimates, norm_quats=True)
def pad_augmented(self, x, P, Q=None):
if x.shape[0] == self.dim_main and self.N > 0:
x = np.pad(x, (0, self.N * self.dim_augment), mode='constant')
x[self.dim_main + 3::7] = 1
if P.shape[0] == self.dim_main_err and self.N > 0:
P = np.pad(P, [(0, self.N * self.dim_augment_err), (0, self.N * self.dim_augment_err)], mode='constant')
P[self.dim_main_err:, self.dim_main_err:] = 10e20 * np.eye(self.dim_augment_err * self.N)
if Q is None:
return x, P
else:
Q = np.pad(Q, [(0, self.N * self.dim_augment_err), (0, self.N * self.dim_augment_err)], mode='constant')
return x, P, Q
def init_state(self, state, covs_diag=None, covs=None, filter_time=None):
if covs_diag is not None:
P = np.diag(covs_diag)
elif covs is not None:
P = covs
else:
P = self.filter.covs()
state, P = self.pad_augmented(state, P)
self.filter.init_state(state, P, filter_time)
def predict_and_observe(self, t, kind, data):
if len(data) > 0:
data = np.atleast_2d(data)
if kind == ObservationKind.CAMERA_ODO_TRANSLATION:
r = self.predict_and_update_odo_trans(data, t, kind)
elif kind == ObservationKind.CAMERA_ODO_ROTATION:
r = self.predict_and_update_odo_rot(data, t, kind)
elif kind == ObservationKind.PSEUDORANGE_GPS or kind == ObservationKind.PSEUDORANGE_GLONASS:
r = self.predict_and_update_pseudorange(data, t, kind)
elif kind == ObservationKind.PSEUDORANGE_RATE_GPS or kind == ObservationKind.PSEUDORANGE_RATE_GLONASS:
r = self.predict_and_update_pseudorange_rate(data, t, kind)
elif kind == ObservationKind.ORB_FEATURES or kind == ObservationKind.ORB_FEATURES_WIDE:
r = self.predict_and_update_orb_features(data, t, kind)
elif kind == ObservationKind.MSCKF_TEST:
r = self.predict_and_update_msckf_test(data, t, kind)
else:
r = self.filter.predict_and_update_batch(t, kind, data, self.get_R(kind, len(data)))
# Normalize quats
quat_norm = np.linalg.norm(self.filter.state()[3:7])
# Should not continue if the quats behave this weirdly
if not 0.1 < quat_norm < 10:
raise RuntimeError("Sir! The filter's gone all wobbly!")
return r
def get_R(self, kind, n):
obs_noise = self.obs_noise[kind]
dim = obs_noise.shape[0]
R = np.zeros((n, dim, dim))
for i in range(n):
R[i, :, :] = obs_noise
return R
def predict_and_update_pseudorange(self, meas, t, kind):
R = np.zeros((len(meas), 1, 1))
sat_pos_freq = np.zeros((len(meas), 4))
z = np.zeros((len(meas), 1))
for i, m in enumerate(meas):
z_i, R_i, sat_pos_freq_i = parse_pr(m)
sat_pos_freq[i, :] = sat_pos_freq_i
z[i, :] = z_i
R[i, :, :] = R_i
return self.filter.predict_and_update_batch(t, kind, z, R, sat_pos_freq)
def predict_and_update_pseudorange_rate(self, meas, t, kind):
R = np.zeros((len(meas), 1, 1))
z = np.zeros((len(meas), 1))
sat_pos_vel = np.zeros((len(meas), 6))
for i, m in enumerate(meas):
z_i, R_i, sat_pos_vel_i = parse_prr(m)
sat_pos_vel[i] = sat_pos_vel_i
R[i, :, :] = R_i
z[i, :] = z_i
return self.filter.predict_and_update_batch(t, kind, z, R, sat_pos_vel)
def predict_and_update_odo_trans(self, trans, t, kind):
z = trans[:, :3]
R = np.zeros((len(trans), 3, 3))
for i, _ in enumerate(z):
R[i, :, :] = np.diag(trans[i, 3:]**2)
return self.filter.predict_and_update_batch(t, kind, z, R)
def predict_and_update_odo_rot(self, rot, t, kind):
z = rot[:, :3]
R = np.zeros((len(rot), 3, 3))
for i, _ in enumerate(z):
R[i, :, :] = np.diag(rot[i, 3:]**2)
return self.filter.predict_and_update_batch(t, kind, z, R)
def predict_and_update_orb_features(self, tracks, t, kind):
k = 2 * (self.N + 1)
R = np.zeros((len(tracks), k, k))
z = np.zeros((len(tracks), k))
ecef_pos = np.zeros((len(tracks), 3))
ecef_pos[:] = np.nan
poses = self.x[self.dim_main:].reshape((-1, 7))
times = tracks.reshape((len(tracks), self.N + 1, 4))[:, :, 0]
if kind==ObservationKind.ORB_FEATURES:
pt_std = 0.005
else:
pt_std = 0.02
if times.any():
assert np.allclose(times[0, :-1], self.filter.get_augment_times(), atol=1e-7, rtol=0.0)
for i, track in enumerate(tracks):
img_positions = track.reshape((self.N + 1, 4))[:, 2:]
# TODO not perfect as last pose not used
# img_positions = unroll_shutter(img_positions, poses, self.filter.state()[7:10], self.filter.state()[10:13], ecef_pos[i])
ecef_pos[i] = self.computer.compute_pos(poses, img_positions[:-1])
z[i] = img_positions.flatten()
R[i, :, :] = np.diag([pt_std**2] * (k))
good_idxs = np.all(np.isfinite(ecef_pos), axis=1)
# This code relies on wide and narrow orb features being captured at the same time,
# and wide features to be processed first.
ret = self.filter.predict_and_update_batch(t, kind, z[good_idxs], R[good_idxs], ecef_pos[good_idxs],
augment=kind==ObservationKind.ORB_FEATURES)
if ret is None:
return
# have to do some weird stuff here to keep
# to have the observations input from mesh3d
# consistent with the outputs of the filter
# Probably should be replaced, not sure how.
y_full = np.zeros((z.shape[0], z.shape[1] - 3))
if sum(good_idxs) > 0:
y_full[good_idxs] = np.array(ret[6])
ret = ret[:6] + (y_full, z, ecef_pos)
return ret
def predict_and_update_msckf_test(self, test_data, t, kind):
assert self.N > 0
z = test_data
R = np.zeros((len(test_data), len(z[0]), len(z[0])))
ecef_pos = [self.x[:3]]
for i, _ in enumerate(z):
R[i, :, :] = np.diag([0.1**2] * len(z[0]))
ret = self.filter.predict_and_update_batch(t, kind, z, R, ecef_pos)
self.filter.augment()
return ret
def maha_test_pseudorange(self, x, P, meas, kind, maha_thresh=.3):
bools = []
for m in meas:
z, R, sat_pos_freq = parse_pr(m)
bools.append(self.filter.maha_test(x, P, kind, z, R, extra_args=sat_pos_freq, maha_thresh=maha_thresh))
return np.array(bools)
def maha_test_pseudorange_rate(self, x, P, meas, kind, maha_thresh=.999):
bools = []
for m in meas:
z, R, sat_pos_vel = parse_prr(m)
bools.append(self.filter.maha_test(x, P, kind, z, R, extra_args=sat_pos_vel, maha_thresh=maha_thresh))
return np.array(bools)
if __name__ == "__main__":
N = int(sys.argv[1].split("_")[-1])
generated_dir = sys.argv[2]
LocKalman.generate_code(generated_dir, N=N)