#!/usr/bin/env python3 import sys import numpy as np import sympy as sp from selfdrive.locationd.models.constants import ObservationKind from rednose.helpers.ekf_sym import EKF_sym, gen_code from selfdrive.locationd.models.loc_kf import parse_pr, parse_prr class States(): ECEF_POS = slice(0, 3) # x, y and z in ECEF in meters ECEF_VELOCITY = slice(3, 6) CLOCK_BIAS = slice(6, 7) # clock bias in light-meters, CLOCK_DRIFT = slice(7, 8) # clock drift in light-meters/s, CLOCK_ACCELERATION = slice(8, 9) # clock acceleration in light-meters/s**2 GLONASS_BIAS = slice(9, 10) # clock drift in light-meters/s, GLONASS_FREQ_SLOPE = slice(10, 11) # GLONASS bias in m expressed as bias + freq_num*freq_slope class GNSSKalman(): name = 'gnss' x_initial = np.array([-2712700.6008, -4281600.6679, 3859300.1830, 0, 0, 0, 0, 0, 0, 0, 0]) # state covariance P_initial = np.diag([10000**2, 10000**2, 10000**2, 10**2, 10**2, 10**2, (2000000)**2, (100)**2, (0.5)**2, (10)**2, (1)**2]) # process noise Q = np.diag([0.3**2, 0.3**2, 0.3**2, 3**2, 3**2, 3**2, (.1)**2, (0)**2, (0.01)**2, .1**2, (.01)**2]) maha_test_kinds = [] # ObservationKind.PSEUDORANGE_RATE, ObservationKind.PSEUDORANGE, ObservationKind.PSEUDORANGE_GLONASS] @staticmethod def generate_code(generated_dir): dim_state = GNSSKalman.x_initial.shape[0] name = GNSSKalman.name maha_test_kinds = GNSSKalman.maha_test_kinds # 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[0:3, :] v = state[3:6, :] vx, vy, vz = v cb, cd, ca = state[6:9, :] glonass_bias, glonass_freq_slope = state[9:11, :] dt = sp.Symbol('dt') state_dot = sp.Matrix(np.zeros((dim_state, 1))) state_dot[:3, :] = v state_dot[6, 0] = cd state_dot[7, 0] = ca # Basic descretization, 1st order integrator # Can be pretty bad if dt is big f_sym = state + dt * state_dot # # 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) orb_epos_sym = sp.MatrixSymbol('orb_epos_sym', 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:] los_x, los_y, los_z = sat_los_sym orb_x, orb_y, orb_z = orb_epos_sym h_pseudorange_sym = sp.Matrix([ sp.sqrt( (x - sat_x)**2 + (y - sat_y)**2 + (z - sat_z)**2 ) + cb ]) h_pseudorange_glonass_sym = sp.Matrix([ sp.sqrt( (x - sat_x)**2 + (y - sat_y)**2 + (z - sat_z)**2 ) + cb + glonass_bias + glonass_freq_slope * 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]) obs_eqs = [[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]] gen_code(generated_dir, name, f_sym, dt, state_sym, obs_eqs, dim_state, dim_state, maha_test_kinds=maha_test_kinds) def __init__(self, generated_dir): self.dim_state = self.x_initial.shape[0] # init filter self.filter = EKF_sym(generated_dir, self.name, self.Q, self.x_initial, self.P_initial, self.dim_state, self.dim_state, maha_test_kinds=self.maha_test_kinds) @property def x(self): return self.filter.state() @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=False) 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() 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.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) 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) if __name__ == "__main__": generated_dir = sys.argv[2] GNSSKalman.generate_code(generated_dir)