Port test and examples from obsolete python wrapper
Frank Dellaert
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f2b8a263d6
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"""
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GTSAM Copyright 2010-2019, Georgia Tech Research Corporation,
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Atlanta, Georgia 30332-0415
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All Rights Reserved
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See LICENSE for the license information
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A script validating the ImuFactor inference.
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"""
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from __future__ import print_function
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import math
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import matplotlib.pyplot as plt
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import numpy as np
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from mpl_toolkits.mplot3d import Axes3D
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import gtsam
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from gtsam.utils.plot import plot_pose3
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from PreintegrationExample import POSES_FIG, PreintegrationExample
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BIAS_KEY = int(gtsam.symbol(ord('b'), 0))
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def X(key):
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"""Create symbol for pose key."""
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return gtsam.symbol(ord('x'), key)
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def V(key):
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"""Create symbol for velocity key."""
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return gtsam.symbol(ord('v'), key)
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np.set_printoptions(precision=3, suppress=True)
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class ImuFactorExample(PreintegrationExample):
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def __init__(self):
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self.velocity = np.array([2, 0, 0])
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self.priorNoise = gtsam.noiseModel_Isotropic.Sigma(6, 0.1)
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self.velNoise = gtsam.noiseModel_Isotropic.Sigma(3, 0.1)
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# Choose one of these twists to change scenario:
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zero_twist = (np.zeros(3), np.zeros(3))
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forward_twist = (np.zeros(3), self.velocity)
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loop_twist = (np.array([0, -math.radians(30), 0]), self.velocity)
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sick_twist = (
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np.array([math.radians(30), -math.radians(30), 0]), self.velocity)
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accBias = np.array([-0.3, 0.1, 0.2])
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gyroBias = np.array([0.1, 0.3, -0.1])
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bias = gtsam.imuBias_ConstantBias(accBias, gyroBias)
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dt = 1e-2
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super(ImuFactorExample, self).__init__(sick_twist, bias, dt)
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def addPrior(self, i, graph):
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state = self.scenario.navState(i)
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graph.push_back(gtsam.PriorFactorPose3(
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X(i), state.pose(), self.priorNoise))
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graph.push_back(gtsam.PriorFactorVector(
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V(i), state.velocity(), self.velNoise))
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def run(self):
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graph = gtsam.NonlinearFactorGraph()
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# initialize data structure for pre-integrated IMU measurements
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pim = gtsam.PreintegratedImuMeasurements(self.params, self.actualBias)
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T = 12
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num_poses = T + 1 # assumes 1 factor per second
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initial = gtsam.Values()
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initial.insert(BIAS_KEY, self.actualBias)
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for i in range(num_poses):
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state_i = self.scenario.navState(float(i))
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initial.insert(X(i), state_i.pose())
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initial.insert(V(i), state_i.velocity())
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# simulate the loop
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i = 0 # state index
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actual_state_i = self.scenario.navState(0)
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for k, t in enumerate(np.arange(0, T, self.dt)):
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# get measurements and add them to PIM
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measuredOmega = self.runner.measuredAngularVelocity(t)
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measuredAcc = self.runner.measuredSpecificForce(t)
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pim.integrateMeasurement(measuredAcc, measuredOmega, self.dt)
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# Plot IMU many times
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if k % 10 == 0:
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self.plotImu(t, measuredOmega, measuredAcc)
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# Plot every second
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if k % int(1 / self.dt) == 0:
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self.plotGroundTruthPose(t)
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# create IMU factor every second
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if (k + 1) % int(1 / self.dt) == 0:
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factor = gtsam.ImuFactor(X(i), V(i), X(
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i + 1), V(i + 1), BIAS_KEY, pim)
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graph.push_back(factor)
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if True:
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print(factor)
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print(pim.predict(actual_state_i, self.actualBias))
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pim.resetIntegration()
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actual_state_i = self.scenario.navState(t + self.dt)
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i += 1
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# add priors on beginning and end
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self.addPrior(0, graph)
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self.addPrior(num_poses - 1, graph)
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# optimize using Levenberg-Marquardt optimization
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params = gtsam.LevenbergMarquardtParams()
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params.setVerbosityLM("SUMMARY")
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optimizer = gtsam.LevenbergMarquardtOptimizer(graph, initial, params)
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result = optimizer.optimize()
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# Calculate and print marginal covariances
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marginals = gtsam.Marginals(graph, result)
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print("Covariance on bias:\n", marginals.marginalCovariance(BIAS_KEY))
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for i in range(num_poses):
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print("Covariance on pose {}:\n{}\n".format(
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i, marginals.marginalCovariance(X(i))))
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print("Covariance on vel {}:\n{}\n".format(
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i, marginals.marginalCovariance(V(i))))
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# Plot resulting poses
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i = 0
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while result.exists(X(i)):
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pose_i = result.atPose3(X(i))
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plot_pose3(POSES_FIG, pose_i, 0.1)
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i += 1
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print(result.atimuBias_ConstantBias(BIAS_KEY))
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plt.ioff()
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plt.show()
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if __name__ == '__main__':
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ImuFactorExample().run()
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@ -0,0 +1,140 @@
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"""
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GTSAM Copyright 2010-2019, Georgia Tech Research Corporation,
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Atlanta, Georgia 30332-0415
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All Rights Reserved
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See LICENSE for the license information
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A script validating the Preintegration of IMU measurements
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"""
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import math
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import matplotlib.pyplot as plt
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import numpy as np
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from mpl_toolkits.mplot3d import Axes3D
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import gtsam
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from gtsam.utils.plot import plot_pose3
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IMU_FIG = 1
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POSES_FIG = 2
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class PreintegrationExample(object):
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@staticmethod
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def defaultParams(g):
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"""Create default parameters with Z *up* and realistic noise parameters"""
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params = gtsam.PreintegrationParams.MakeSharedU(g)
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kGyroSigma = math.radians(0.5) / 60 # 0.5 degree ARW
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kAccelSigma = 0.1 / 60 # 10 cm VRW
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params.setGyroscopeCovariance(
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kGyroSigma ** 2 * np.identity(3, np.float))
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params.setAccelerometerCovariance(
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kAccelSigma ** 2 * np.identity(3, np.float))
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params.setIntegrationCovariance(
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0.0000001 ** 2 * np.identity(3, np.float))
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return params
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def __init__(self, twist=None, bias=None, dt=1e-2):
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"""Initialize with given twist, a pair(angularVelocityVector, velocityVector)."""
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# setup interactive plotting
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plt.ion()
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# Setup loop as default scenario
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if twist is not None:
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(W, V) = twist
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else:
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# default = loop with forward velocity 2m/s, while pitching up
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# with angular velocity 30 degree/sec (negative in FLU)
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W = np.array([0, -math.radians(30), 0])
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V = np.array([2, 0, 0])
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self.scenario = gtsam.ConstantTwistScenario(W, V)
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self.dt = dt
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self.maxDim = 5
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self.labels = list('xyz')
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self.colors = list('rgb')
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# Create runner
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self.g = 10 # simple gravity constant
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self.params = self.defaultParams(self.g)
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if bias is not None:
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self.actualBias = bias
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else:
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accBias = np.array([0, 0.1, 0])
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gyroBias = np.array([0, 0, 0])
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self.actualBias = gtsam.imuBias_ConstantBias(accBias, gyroBias)
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self.runner = gtsam.ScenarioRunner(
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self.scenario, self.params, self.dt, self.actualBias)
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def plotImu(self, t, measuredOmega, measuredAcc):
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plt.figure(IMU_FIG)
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# plot angular velocity
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omega_b = self.scenario.omega_b(t)
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for i, (label, color) in enumerate(zip(self.labels, self.colors)):
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plt.subplot(4, 3, i + 1)
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plt.scatter(t, omega_b[i], color='k', marker='.')
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plt.scatter(t, measuredOmega[i], color=color, marker='.')
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plt.xlabel('angular velocity ' + label)
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# plot acceleration in nav
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acceleration_n = self.scenario.acceleration_n(t)
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for i, (label, color) in enumerate(zip(self.labels, self.colors)):
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plt.subplot(4, 3, i + 4)
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plt.scatter(t, acceleration_n[i], color=color, marker='.')
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plt.xlabel('acceleration in nav ' + label)
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# plot acceleration in body
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acceleration_b = self.scenario.acceleration_b(t)
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for i, (label, color) in enumerate(zip(self.labels, self.colors)):
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plt.subplot(4, 3, i + 7)
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plt.scatter(t, acceleration_b[i], color=color, marker='.')
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plt.xlabel('acceleration in body ' + label)
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# plot actual specific force, as well as corrupted
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actual = self.runner.actualSpecificForce(t)
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for i, (label, color) in enumerate(zip(self.labels, self.colors)):
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plt.subplot(4, 3, i + 10)
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plt.scatter(t, actual[i], color='k', marker='.')
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plt.scatter(t, measuredAcc[i], color=color, marker='.')
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plt.xlabel('specific force ' + label)
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def plotGroundTruthPose(self, t):
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# plot ground truth pose, as well as prediction from integrated IMU measurements
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actualPose = self.scenario.pose(t)
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plot_pose3(POSES_FIG, actualPose, 0.3)
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t = actualPose.translation()
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self.maxDim = max([abs(t.x()), abs(t.y()), abs(t.z()), self.maxDim])
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ax = plt.gca()
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ax.set_xlim3d(-self.maxDim, self.maxDim)
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ax.set_ylim3d(-self.maxDim, self.maxDim)
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ax.set_zlim3d(-self.maxDim, self.maxDim)
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plt.pause(0.01)
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def run(self):
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# simulate the loop
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T = 12
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for i, t in enumerate(np.arange(0, T, self.dt)):
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measuredOmega = self.runner.measuredAngularVelocity(t)
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measuredAcc = self.runner.measuredSpecificForce(t)
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if i % 25 == 0:
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self.plotImu(t, measuredOmega, measuredAcc)
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self.plotGroundTruthPose(t)
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pim = self.runner.integrate(t, self.actualBias, True)
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predictedNavState = self.runner.predict(pim, self.actualBias)
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plot_pose3(POSES_FIG, predictedNavState.pose(), 0.1)
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plt.ioff()
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plt.show()
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if __name__ == '__main__':
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PreintegrationExample().run()
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@ -0,0 +1,47 @@
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"""
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GTSAM Copyright 2010-2019, Georgia Tech Research Corporation,
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Atlanta, Georgia 30332-0415
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All Rights Reserved
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See LICENSE for the license information
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ScenarioRunner unit tests.
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Author: Frank Dellaert & Duy Nguyen Ta (Python)
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"""
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import math
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import unittest
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import numpy as np
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import gtsam
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from gtsam.utils.test_case import GtsamTestCase
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class TestScenarioRunner(GtsamTestCase):
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def setUp(self):
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self.g = 10 # simple gravity constant
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def test_loop_runner(self):
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# Forward velocity 2m/s
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# Pitch up with angular velocity 6 degree/sec (negative in FLU)
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v = 2
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w = math.radians(6)
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W = np.array([0, -w, 0])
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V = np.array([v, 0, 0])
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scenario = gtsam.ConstantTwistScenario(W, V)
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dt = 0.1
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params = gtsam.PreintegrationParams.MakeSharedU(self.g)
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bias = gtsam.imuBias_ConstantBias()
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runner = gtsam.ScenarioRunner(
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scenario, params, dt, bias)
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# Test specific force at time 0: a is pointing up
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t = 0.0
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a = w * v
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np.testing.assert_almost_equal(
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np.array([0, 0, a + self.g]), runner.actualSpecificForce(t))
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if __name__ == '__main__':
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unittest.main()
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