def test_process_measurement_x_and_P_of_ekf_calculated_for_test_measurements(self):
for measurements, expected_x, expected_P in [([MeasurementPackage(1477010443000000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.463227], [0.607415]])),
MeasurementPackage(1477010443100000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.968521], [0.40545]])),
MeasurementPackage(1477010443200000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.947752], [0.636824]])),
MeasurementPackage(1477010443300000,
MeasurementPackage.SensorType.LASER,
Matrix([[1.42287], [0.264328]]))],
Matrix([[1.34291], [0.364408], [2.32002], [-0.722813]]),
Matrix([[0.0185328, 0, 0.109639, 0],
[0, 0.0185328, 0, 0.109639],
[0.109639, 0, 1.10798, 0],
[0, 0.109639, 0, 1.10798]]))]:
with self.subTest():
tools = Tools()
ekf = KalmanFilter()
fusionEKF = FusionEKF(ekf, tools)
for measurement in measurements:
fusionEKF.process_measurement(measurement)
assert_array_almost_equal(ekf._x.value, expected_x.value, decimal=2)
assert_array_almost_equal(ekf._P.value, expected_P.value, decimal=1)
def test_process_measurement_sets_F_and_Q_of_ekf_for_subsequent_measurements(self):
fusionEKF = FusionEKF(self._ekf, self._tools)
meas_package = MeasurementPackage(1477010443000000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.463227], [0.607415]]))
fusionEKF.process_measurement(meas_package)
meas_package = MeasurementPackage(1477010443100000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.968521], [0.40545]]))
fusionEKF.process_measurement(meas_package)
self.assertAlmostEqual(self._ekf._F.value[0][2], 0.1)
self.assertAlmostEqual(self._ekf._F.value[1][3], 0.1)
dt_2 = 0.01
dt_3 = 0.001
dt_4 = 0.0001
#acceleration noise components
noise_ax = 9
noise_ay = 9
#set the process covariance matrix Q
#Lesson 5 Section 9
expected_Q = Matrix([[dt_4/4*noise_ax, 0, dt_3/2*noise_ax, 0],
[0, dt_4/4*noise_ay, 0, dt_3/2*noise_ay],
[dt_3/2*noise_ax, 0, dt_2*noise_ax, 0],
[0, dt_3/2*noise_ay, 0, dt_2*noise_ay]])
assert_array_almost_equal(self._ekf._Q.value, expected_Q.value)
def test_process_measurement_calls_predict_then_update_on_ekf_for_subsequent_LASER_measurements(self):
self._ekf.predict = MagicMock()
self._ekf.update = MagicMock()
ekf_sequence = Mock()
ekf_sequence.attach_mock(self._ekf.predict, 'predict')
ekf_sequence.attach_mock(self._ekf.update, 'update')
fusionEKF = FusionEKF(self._ekf, self._tools)
meas_package = MeasurementPackage(1477010443000000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.463227], [0.607415]]))
fusionEKF.process_measurement(meas_package)
meas_package = MeasurementPackage(1477010443100000,
MeasurementPackage.SensorType.LASER,
Matrix([[0.968521], [0.40545]]))
fusionEKF.process_measurement(meas_package)
expected_R = Matrix([[0.0225, 0],
[0, 0.0225]])
expected_H = Matrix([[1, 0, 0, 0],
[0, 1, 0, 0]])
self.assertEqual(self._ekf._R.value, expected_R.value)
self.assertEqual(self._ekf._H.value, expected_H.value)
assert ekf_sequence.mock_calls == [call.predict(), call.update(Matrix([[0.968521], [0.40545]]))]
def test_process_measurement_sets_x_of_ekf_if_first_measurement_is_LASER(self):
meas_package = MeasurementPackage(0,
MeasurementPackage.SensorType.LASER,
Matrix([[1], [1]]))
fusionEKF = FusionEKF(self._ekf, self._tools)
fusionEKF.process_measurement(meas_package)
initial_x = Matrix([[1], [1], [0], [0]])
self.assertEqual(self._ekf._x.value, initial_x.value)
def test_process_measurement_sets_x_of_ekf_if_first_measurement_is_RADAR(self):
ro = 1
theta = 2
meas_package = MeasurementPackage(0,
MeasurementPackage.SensorType.RADAR,
Matrix([[ro], [theta], [0.5]]))
fusionEKF = FusionEKF(self._ekf, self._tools)
fusionEKF.process_measurement(meas_package)
initial_x = Matrix([[ro*cos(theta)], [ro*sin(theta)], [0], [0]])
self.assertEqual(self._ekf._x.value, initial_x.value)
def test_process_measurement_calls_predict_then_update_ekf_on_ekf_for_subsequent_RADAR_measurements(
self):
self._ekf.predict = MagicMock()
self._ekf.update_ekf = MagicMock()
self._tools.calculate_jacobian = MagicMock(return_value=Matrix(
[[0.8, 0.6, 0, 0], [-0.6, 0.8, 0, 0], [0, 0, 0.8, 0.6]]))
ekf_sequence = Mock()
ekf_sequence.attach_mock(self._ekf.predict, 'predict')
ekf_sequence.attach_mock(self._tools.calculate_jacobian,
'calculate_jacobian')
ekf_sequence.attach_mock(self._ekf.update_ekf, 'update_ekf')
fusionEKF = FusionEKF(self._ekf, self._tools)
meas_package = MeasurementPackage(
1477010443050000, MeasurementPackage.SensorType.RADAR,
Matrix([[0.898658], [0.617674], [1.7986]]))
fusionEKF.process_measurement(meas_package)
meas_package = MeasurementPackage(
1477010443150000, MeasurementPackage.SensorType.RADAR,
Matrix([[0.910574], [0.610537], [1.46233]]))
fusionEKF.process_measurement(meas_package)
expected_R = Matrix([[0.09, 0, 0], [0, 0.0009, 0], [0, 0, 0.09]])
expected_H = Matrix([[0.8, 0.6, 0, 0], [-0.6, 0.8, 0, 0],
[0, 0, 0.8, 0.6]])
self.assertEqual(self._ekf._R.value, expected_R.value)
self.assertEqual(self._ekf._H.value, expected_H.value)
assert ekf_sequence.mock_calls == [
call.predict(),
call.calculate_jacobian(
Matrix([[0.7326109317880749], [0.5204492516937732], [0],
[0]])),
call.update_ekf(Matrix([[0.910574], [0.610537], [1.46233]]))
]
def test_fusion_ekf_passes_project_rubric_for_dataset1(self):
in_file_name_ = "../data/obj_pose-laser-radar-synthetic-input.txt"
in_file = open(in_file_name_, newline='')
data_reader = csv.reader(in_file, delimiter='\t', quotechar='|')
tools = Tools()
ekf = KalmanFilter()
# Create a Fusion EKF instance
fusionEKF = FusionEKF(ekf, tools)
# used to compute the RMSE later
estimations = []
ground_truth =[]
# prep the measurement packages (each line represents a measurement at a
# timestamp)
for row in data_reader:
meas_package = MeasurementPackage()
i = 0
# reads first element from the current line
sensor_type = row[i]
i += 1
if(sensor_type == "L"):
# LASER MEASUREMENT
# read measurements at this timestamp
meas_package._sensor_type = MeasurementPackage.SensorType.LASER
px = float(row[i])
py = float(row[i+1])
meas_package._raw_measurements = Matrix([[px], [py]])
timestamp = int(row[i+2])
meas_package._timestamp = timestamp
i += 3
elif (sensor_type == "R"):
# RADAR MEASUREMENT
# read measurements at this timestamp
meas_package._sensor_type = MeasurementPackage.SensorType.RADAR
ro = float(row[i])
theta = float(row[i+1])
ro_dot = float(row[i+2])
meas_package._raw_measurements = Matrix([[ro], [theta], [ro_dot]])
timestamp = int(row[i+3])
meas_package._timestamp = timestamp
i += 4
# read ground truth data to compare later
x_gt = float(row[i])
y_gt = float(row[i+1])
vx_gt = float(row[i+2])
vy_gt = float(row[i+3])
gt_values = Matrix([[x_gt], [y_gt], [vx_gt], [vy_gt]])
ground_truth.append(gt_values)
fusionEKF.process_measurement(meas_package)
p_x = fusionEKF._ekf._x.value[0][0]
p_y = fusionEKF._ekf._x.value[1][0]
v1 = fusionEKF._ekf._x.value[2][0]
v2 = fusionEKF._ekf._x.value[3][0]
estimate = Matrix([[p_x], [p_y], [v1], [v2]])
estimations.append(estimate)
# compute the accuracy (RMSE)
expected_rmse = Matrix([[0.11], [0.11], [0.52], [0.52]])
rmse = tools.calculate_rmse(estimations, ground_truth)
assert_array_less(rmse.value, expected_rmse.value)
in_file.close()