# ISC License
#
# Copyright (c) 2016, Autonomous Vehicle Systems Lab, University of Colorado at Boulder
#
# Permission to use, copy, modify, and/or distribute this software for any
# purpose with or without fee is hereby granted, provided that the above
# copyright notice and this permission notice appear in all copies.
#
# THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
# WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
# MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
# ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
# WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
# ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
# OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
#
# IMU Unit Test
# Purpose: Test IMU functions
# Author: Scott Carnahan
# Creation Date: September 14, 2017
#
# import pytest
import inspect
import os
import matplotlib.pyplot as plt
import numpy as np
import pytest
filename = inspect.getframeinfo(inspect.currentframe()).filename
path = os.path.dirname(os.path.abspath(filename))
from Basilisk.utilities import SimulationBaseClass
from Basilisk.utilities import unitTestSupport
from Basilisk.utilities import macros
from Basilisk.simulation import imuSensor
from Basilisk.utilities import RigidBodyKinematics as rbk
from Basilisk.architecture import messaging
def addTimeColumn(time, data):
return np.transpose(np.vstack([[time], np.transpose(data)]))
# methods
def v3vTmult(v1,v2):
output = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(0,3):
for j in range(0,3):
output[i][j] = v1[i] * v2[j]
return output
def skew(vector):
vector = np.array(vector)
skew_symmetric = np.array([[0, -vector.item(2), vector.item(1)],
[vector.item(2), 0, -vector.item(0)],
[-vector.item(1), vector.item(0), 0]])
return skew_symmetric
def findSigmaDot(sigma, omega):
sigmaMag = np.linalg.norm(sigma)
B1 = 1 - sigmaMag ** 2
BI = np.identity(3)
sigmaTilde = skew(sigma)
B2 = np.dot(2, sigmaTilde)
B3 = np.dot(2, v3vTmult(sigma, sigma))
B = np.dot(B1, BI) + B2 + B3
sigmaDot = np.dot(0.25, np.dot(B, omega))
return sigmaDot
def setRandomWalk(self,senRotNoiseStd = 0.0,senTransNoiseStd = 0.0,errorBoundsGyro = [1e6] * 3,errorBoundsAccel = [1e6] * 3):
# sets the random walk for IRU module
self.PMatrixAccel = np.eye(3) * senRotNoiseStd
self.walkBoundsAccel = np.array(errorBoundsAccel)
self.PMatrixGyro = np.eye(3) * senTransNoiseStd
self.walkBoundsGyro = np.array(errorBoundsGyro)
# uncomment this line is this test is to be skipped in the global unit test run, adjust message as needed
# @pytest.mark.skipif(conditionstring)
# uncomment this line if this test has an expected failure, adjust message as needed
#The following tests are parameterized and run:
# noise - clean plus some noise - test std dev
# error bounds
# The following 'parametrize' function decorator provides the parameters and expected results for each
# of the multiple test runs for this test.
[docs]
@pytest.mark.parametrize("show_plots, testCase, stopTime, procRate, gyroLSBIn, accelLSBIn, senRotMaxIn, senTransMaxIn, senRotNoiseStd, senTransNoiseStd, errorBoundsGyroIn, errorBoundsAccelIn, senRotBiasIn, senTransBiasIn, accuracy", [
(False, 'clean', 1.0, 0.01, 0.0, 0.0, 1000., 1000., 0.0, 0.0, 0.0, 0.0, 0., 0., 1e-8),
(False, 'noise', 1.0, 0.001, 0.0, 0.0, 1000., 1000., .1, .1, 0.1, 0.1, 0.0, 0.0, 1e-1),
(False, 'bias', 1.0, 0.01, 0.0, 0.0, 1000., 1000., 0.0, 0.0, 0.0, 0.0, 10., 10., 1e-8),
(False, 'saturation', 1.0, 0.01, 0.0, 0.0, 1.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1e-8),
(False, 'discretization',1., 0.01, 0.05, 0.5, 100., 1000., 0.0, 0.0, 1e6, 1e6, 0.0, 0.0, 1e-8),
])
# provide a unique test method name, starting with test_
def test_unitSimIMU(show_plots, testCase, stopTime, procRate, gyroLSBIn, accelLSBIn, senRotMaxIn, senTransMaxIn, senRotNoiseStd, senTransNoiseStd, errorBoundsGyroIn, errorBoundsAccelIn, senRotBiasIn, senTransBiasIn, accuracy):
"""Module Unit Test"""
# each test method requires a single assert method to be called
[testResults, testMessage] = unitSimIMU(show_plots, testCase, stopTime, procRate, gyroLSBIn, accelLSBIn, senRotMaxIn, senTransMaxIn, senRotNoiseStd, senTransNoiseStd, errorBoundsGyroIn, errorBoundsAccelIn, senRotBiasIn, senTransBiasIn, accuracy)
assert testResults < 1, testMessage
def unitSimIMU(show_plots, testCase, stopTime, procRate, gyroLSBIn, accelLSBIn, senRotMaxIn, senTransMaxIn, senRotNoiseStd, senTransNoiseStd, errorBoundsGyroIn, errorBoundsAccelIn, senRotBiasIn, senTransBiasIn, accuracy):
testFailCount = 0 # zero unit test result counter
testMessages = [] # create empty array to store test log messages
unitTaskName = "unitTask" # arbitrary name (don't change)
unitProcName = "TestProcess" # arbitrary name (don't change)
# initialize SimulationBaseClass
unitSim = SimulationBaseClass.SimBaseClass()
# create the task and specify the integration update time
unitProcRate_s = procRate
unitProcRate = macros.sec2nano(unitProcRate_s)
unitProc = unitSim.CreateNewProcess(unitProcName)
unitTask = unitSim.CreateNewTask(unitTaskName, unitProcRate)
unitProc.addTask(unitTask)
# Set-up the fake kinematics vectors
# Note: No conservative accelerations are used in this test
# center of mass
rDotDot_CN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #acceleration of center of mass wrt inertial frame
rDotDot_CB_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #acceleration of center of mass wrt body frame
rDot_CN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #velocity of center of mass wrt inertial frame
r_CN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #position of center of mass wrt to inertial frame
# body frame
rDotDot_BN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) # acceleration of body frame wrt to inertial
rDot_BN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #velocity of body frame wrt to inertial
r_BN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #position of body frame wrt to inertial
omegaDot_BN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #angular acceleration of body frame wrt to inertial
omega_BN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) # angular rate of body frame wrt to inertial
sigmaDot_BN = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #MRP derivative, body wrt to inertial
sigma_BN = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) # MRP body wrt to inertial
# sensor
rDotDot_SN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #sensor sensed acceleration
rDot_SN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #sensor accumulated DV
r_SN_N = np.resize(np.array([0., 0., 0.]),(int(stopTime/unitProcRate_s+1),3)) #sensor position in body frame coordinates
# Set initial conditions for fake kinematics vectors
# Acceleration vectors
dataRows= np.shape(rDotDot_CN_N)[0]
for i in range(0, dataRows): #loops through acceleration vectors so that each element can be set individually (or, hopefully, as a function)
rDotDot_BN_N[i][0] = 1.
rDotDot_BN_N[i][1] = 1.
rDotDot_BN_N[i][2] = 1.
rDotDot_CB_N[i][0] = 0.05
rDotDot_CB_N[i][1] = 0.07
rDotDot_CB_N[i][2] = 0.06
rDotDot_CN_N[i][0] = rDotDot_BN_N[i][0] + rDotDot_CB_N[i][0]
rDotDot_CN_N[i][1] = rDotDot_BN_N[i][1] + rDotDot_CB_N[i][1]
rDotDot_CN_N[i][2] = rDotDot_BN_N[i][2] + rDotDot_CB_N[i][2]
omegaDot_BN_N[i][0] = 1.
omegaDot_BN_N[i][1] = 1.5
omegaDot_BN_N[i][2] = 1.25
# Center of Mass
rDot_CN_N[0][:] = [0.05, 0.07, 0.08]
r_CN_N[0][:] = [10000.5, 10000.7, 10000.5] # Some arbitrary location in space
# Body Frame Origin
rDot_BN_N[0][:] = [0.1, 0.2, -0.1]
r_BN_N[0][:] = [10000., 10000., 10000.] # leaves r_CN_N[0][i] with some offset
# Body Rotation
omega_BN_N[0][:] = [0.0, 0.15, 0.1] #omega_BN_N
sigma_BN[0][:] = [0.25, 0.1, 0.03] # note that unlabeled sigma is sigma_BN
# Sensor linear states (note that these initial conditions must be solved as functions of another initial conditions to maintain consistency
r_SB_B = np.array([1.0, 1.0, 2.0]) #constant. sensor position wrt to body frame origin
cDotDot_N = rDotDot_CN_N[0][:] - rDotDot_BN_N[0][:]
cDot_N = rDot_CN_N[0][:] - rDot_BN_N[0][:]
c_N = r_CN_N[0][:] - r_BN_N[0][:]
cPrime_N = cDot_N - np.cross(omega_BN_N[0][:], c_N)
cPrimePrime_N = cDotDot_N - np.dot(2, np.cross(omega_BN_N[0][:], cPrime_N)) - np.cross(omegaDot_BN_N[0][:], c_N) - np.cross(omega_BN_N[0][:], np.cross(omega_BN_N[0][:], c_N))
dcm_BN = rbk.MRP2C(sigma_BN[0][:])
dcm_NB = np.transpose(dcm_BN)
sigmaDot_BN[0][:] = findSigmaDot(sigma_BN[0][:], np.dot(dcm_BN, omega_BN_N[0][:])) # sigmaDot_BN
r_SB_N = np.dot(dcm_NB, r_SB_B)
r_SC_N = r_BN_N[0][:] + r_SB_N - r_CN_N[0][:]
rDotDot_SN_N[0][:] = rDotDot_CN_N[0][:] - cPrimePrime_N - np.dot(2, np.cross(omega_BN_N[0][:], cPrime_N)) + np.cross(omegaDot_BN_N[0][:], r_SC_N) + np.cross(omega_BN_N[0][:], np.cross(omega_BN_N[0][:], r_SC_N))
rDot_SN_N[0][:] = rDot_CN_N[0][:] - cPrime_N + np.cross(omega_BN_N[0][:], r_SC_N)
r_SN_N[0][:] = r_SB_N + r_BN_N[0][:]
#Sensor Setup
ImuSensor = imuSensor.ImuSensor()
ImuSensor.ModelTag = "imusensor"
ImuSensor.sensorPos_B = np.array(r_SB_B) #must be set by user - no default. check if this works by giving an array - SJKC
yaw = 0.7854 #should be given as parameter [rad]
pitch = 1.0 # [rad]
roll = 0.1 # [rad]
dcm_PB = rbk.euler3212C([yaw,pitch,roll]) #done separately as a
dcm_PN = np.dot(dcm_PB, dcm_BN)
ImuSensor.setBodyToPlatformDCM(yaw, pitch, roll) # done separately as a check
errorBoundsGyro = [errorBoundsGyroIn] * 3
errorBoundsAccel = [errorBoundsAccelIn] * 3
setRandomWalk(ImuSensor, senRotNoiseStd, senTransNoiseStd, errorBoundsGyro, errorBoundsAccel)
ImuSensor.setLSBs(accelLSBIn, gyroLSBIn)
ImuSensor.senRotBias = np.array([senRotBiasIn] * 3)
ImuSensor.senTransBias = np.array([senTransBiasIn] * 3)
ImuSensor.senTransMax = senTransMaxIn
ImuSensor.senRotMax = senRotMaxIn
accelScale = [2.,2.,2.]
gyroScale = [1.,1.,1.]
ImuSensor.accelScale = np.array(accelScale)
ImuSensor.gyroScale = np.array(gyroScale)
accel_SN_P_disc = np.array([0., 0., 0.])
omega_SN_P_disc = np.array([0., 0., 0.])
# Set-up the sensor output truth vectors
rDotDot_SN_P = np.resize(np.array([0., 0., 0.]), (int(stopTime/unitProcRate_s+1), 3)) # sensor sensed acceleration in sensor platform frame coordinates
rDotDot_SN_P[0][:] = np.dot(dcm_PN, rDotDot_SN_N[0][:])
DVAccum_SN_P = np.resize(np.array([0., 0., 0.]), (int(stopTime/unitProcRate_s+1), 3)) # sensor accumulated delta V ouput in the platform frame
stepPRV_PN = np.resize(np.array([0., 0., 0.]), (int(stopTime/unitProcRate_s+1), 3)) # principal rotatation vector from time i-1 to time i in platform frame coordinates
omega_PN_P = np.resize(np.array([0., 0., 0.]), (int(stopTime/unitProcRate_s+1), 3)) # angular rate omega_BN_P = omega_PN_P
omega_PN_P[0][:] = np.dot(dcm_PN, omega_BN_N[0][:])
# configure spacecraft dummy message - Need to convert to B frame here first
StateCurrent = messaging.SCStatesMsgPayload()
StateCurrent.sigma_BN = sigma_BN[0][:]
StateCurrent.omega_BN_B = np.dot(dcm_BN, omega_BN_N[0][:]) #1 rpm around each axis
StateCurrent.nonConservativeAccelpntB_B = np.dot(dcm_BN, rDotDot_BN_N[0][:])
StateCurrent.omegaDot_BN_B = np.dot(dcm_BN, omegaDot_BN_N[0][:])
StateCurrent.TotalAccumDV_BN_B = np.array([0., 0., 0.])
# add module to the task
unitSim.AddModelToTask(unitTaskName, ImuSensor)
# configure inertial_state_output message
scStateMsg = messaging.SCStatesMsg().write(StateCurrent)
ImuSensor.scStateInMsg.subscribeTo(scStateMsg)
# log module output message
dataLog = ImuSensor.sensorOutMsg.recorder()
unitSim.AddModelToTask(unitTaskName, dataLog)
unitSim.InitializeSimulation()
# loop through ExecuteSimulation() and propagate sigma, omega, DV
dt = unitProcRate_s
for i in range(1,int(stopTime/dt)+1):
# Step through the sim
unitSim.ConfigureStopTime(macros.sec2nano(unitProcRate_s*i))
unitSim.ExecuteSimulation()
# attitude kinematics
omega_BN_N[i][:] = omega_BN_N[i-1][:] + ((omegaDot_BN_N[i-1][:] + omegaDot_BN_N[i][:])/2)*dt
# iterate on sigma/sigmaDot
sigmaDot_BN[i][:] = sigmaDot_BN[i-1][:]
for j in range(0,10): #Seems to converge after a few iterations
sigma_BN[i][:] = sigma_BN[i-1][:] + ((sigmaDot_BN[i-1][:]+sigmaDot_BN[i][:])/2)*dt
dcm_BN_2 = rbk.MRP2C(sigma_BN[i][:])
sigmaDot_BN[i][:] = findSigmaDot(sigma_BN[i][:],np.dot(dcm_BN_2, omega_BN_N[i][:]))
sigma_BN[i][:] = sigma_BN[i-1][:] + ((sigmaDot_BN[i-1][:]+sigmaDot_BN[i][:])/2)*dt
dcm_BN_2 = rbk.MRP2C(sigma_BN[i][:])
dcm_NB = np.transpose(dcm_BN_2)
r_SB_N = np.dot(dcm_NB, r_SB_B)
# linear kinematcs
rDot_CN_N[i][:] = rDot_CN_N[i-1][:] + ((rDotDot_CN_N[i-1][:] + rDotDot_CN_N[i][:])/2)*dt
r_CN_N[i][:] = r_CN_N[i-1][:] + ((rDot_CN_N[i-1][:] + rDot_CN_N[i][:])/2)*dt
rDot_BN_N[i][:] = rDot_BN_N[i-1][:] + ((rDotDot_BN_N[i-1][:] + rDotDot_BN_N[i][:])/2)*dt
r_BN_N[i][:] = r_BN_N[i-1][:] + ((rDot_BN_N[i-1][:] + rDot_BN_N[i][:])/2)*dt
cDotDot_N = rDotDot_CN_N[i][:] - rDotDot_BN_N[i][:]
cDot_N = rDot_CN_N[i][:] - rDot_BN_N[i][:]
c_N = r_CN_N[i][:] - r_BN_N[i][:]
# center of mass calculations
cPrime_N = cDot_N - np.cross(omega_BN_N[i][:], c_N)
cPrimePrime_N = cDotDot_N - np.dot(2,np.cross(omega_BN_N[i][:], cPrime_N)) - np.cross(omegaDot_BN_N[i][:],c_N)-np.cross(omega_BN_N[i][:],np.cross(omega_BN_N[i][:],c_N))
r_SC_N = r_BN_N[i][:] + r_SB_N - r_CN_N[i][:]
# solving for sensor inertial states
rDotDot_SN_N[i][:] = rDotDot_CN_N[i][:] - cPrimePrime_N - np.dot(2,np.cross(omega_BN_N[i][:],cPrime_N)) + np.cross(omegaDot_BN_N[i][:],r_SC_N) +np.cross(omega_BN_N[i][:],np.cross(omega_BN_N[i][:],r_SC_N))
rDot_SN_N[i][:] = rDot_CN_N[i][:] - cPrime_N + np.cross(omega_BN_N[i][:],r_SC_N)
# Now create outputs which are (supposed to be) equivalent to the IMU output
# linear acceleration (non-conservative) in platform frame
dcm_BN_1 = rbk.MRP2C(sigma_BN[i-1][:])
dcm_PN_2 = np.dot(dcm_PB, dcm_BN_2)
dcm_PN_1 = np.dot(dcm_PB, dcm_BN_1)
dcm_NP_1 = np.transpose(dcm_PN_1)
dcm_PN_21 = np.dot(dcm_PN_2, dcm_NP_1)
rDotDot_SN_P[i][:] = np.multiply(np.dot(dcm_PN_2, rDotDot_SN_N[i][:]) + senTransBiasIn, accelScale) #This should match trueValues.AccelPlatform
# accumulated delta v (non-conservative) in platform frame
DVAccum_SN_P[i][:] = np.multiply(np.dot(dcm_PN_2, rDot_SN_N[i][:] - rDot_SN_N[i-1][:]) + senTransBiasIn*dt, accelScale)
# find PRV between before and now
stepPRV_PN[i][:] = np.multiply(rbk.MRP2PRV(rbk.C2MRP(dcm_PN_21)) + senRotBiasIn*dt, gyroScale)
# angular rate in platform frame
omega_PN_P[i][:] = np.multiply(np.dot(dcm_PN_2, omega_BN_N[i][:]) + senRotBiasIn, gyroScale)
#
# #discretization
if accelLSBIn > 0.0:
for k in [0,1,2]:
accel_SN_P_disc[k] = np.floor(np.abs(rDotDot_SN_P[i][k] / accelLSBIn)) * accelLSBIn * np.sign(rDotDot_SN_P[i][k])
accelDiscError = rDotDot_SN_P[i][:] - accel_SN_P_disc
rDotDot_SN_P[i][:] = accel_SN_P_disc
DVAccum_SN_P[i][:] -= accelDiscError * dt
if gyroLSBIn > 0.0:
for k in [0,1,2]:
omega_SN_P_disc[k] = np.floor(np.abs(omega_PN_P[i][k] / gyroLSBIn)) * gyroLSBIn * np.sign(omega_PN_P[i][k])
omegaDiscError = omega_PN_P[i][:] - omega_SN_P_disc
omega_PN_P[i][:] = omega_SN_P_disc
stepPRV_PN[i][:] -= omegaDiscError * dt
#saturation
for k in [0,1,2]:
if omega_PN_P[i][k] > senRotMaxIn:
omega_PN_P[i][k] = senRotMaxIn
stepPRV_PN[i][k] = senRotMaxIn*dt
elif omega_PN_P[i][k] < -senRotMaxIn:
omega_PN_P[i][k] = -senRotMaxIn
stepPRV_PN[i][k] = -senRotMaxIn*dt
if rDotDot_SN_P[i][k] > senTransMaxIn:
rDotDot_SN_P[i][k] = senTransMaxIn
DVAccum_SN_P[i][k] = rDotDot_SN_P[i][k] * dt
elif rDotDot_SN_P[i][k] < -senTransMaxIn:
rDotDot_SN_P[i][k] = -senTransMaxIn
DVAccum_SN_P[i][k] = rDotDot_SN_P[i][k] * dt
#Now update spacecraft states for the IMU:
StateCurrent = messaging.SCStatesMsgPayload()
StateCurrent.sigma_BN = sigma_BN[i][:]
StateCurrent.omega_BN_B = np.dot(dcm_BN_2, omega_BN_N[i][:])
StateCurrent.nonConservativeAccelpntB_B = np.dot(dcm_BN_2, rDotDot_BN_N[i][:])
StateCurrent.omegaDot_BN_B = np.dot(dcm_BN_2, omegaDot_BN_N[i][:])
StateCurrent.TotalAccumDV_BN_B = np.dot(dcm_BN_2, rDot_BN_N[i][:] - rDot_BN_N[0][:])
scStateMsg.write(StateCurrent, unitSim.TotalSim.CurrentNanos)
# Pull output time histories from messaging system
DRout = dataLog.DRFramePlatform
omegaOut = dataLog.AngVelPlatform
rDotDotOut = dataLog.AccelPlatform
DVout = dataLog.DVFramePlatform
# truth/output comparison plots and AutoTex output
time = dataLog.times()/1e9
plt.figure(1,figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(time, DRout[0:,0], linewidth = 6, color = 'black', label = "output1")
plt.plot(time, stepPRV_PN[:,0], linestyle = '--', color = 'cyan', label = "truth1")
plt.plot(time, DRout[0:,1], linewidth = 4, color = 'black', label = "output2")
plt.plot(time, stepPRV_PN[:,1], linestyle = '--', color = 'cyan', label = "truth2")
plt.plot(time, DRout[0:,2], linewidth = 2, color = 'black', label = "output3")
plt.plot(time, stepPRV_PN[:,2], linestyle = '--', color = 'cyan', label = "truth3")
plt.xlabel("Time[s]")
plt.ylabel("Time Step PRV Component Magnitude [rad]")
plt.title("PRV Comparison")
myLegend = plt.legend()
myLegend.get_frame().set_facecolor('#909090')
unitTestSupport.writeFigureLaTeX(testCase + "PRVcomparison",
'Plot Comparing Time Step PRV Truth and Output for test: ' + testCase +'. Note that 1, 2, and 3 indicate the components of the principal rotation vector.', plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(4,figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(time, omegaOut[:,0], linewidth = 6, color = 'black', label = "output1")
plt.plot(time, omega_PN_P[:,0], linestyle = '--', color = 'cyan', label = "truth1")
plt.plot(time, omegaOut[:,1], linewidth = 4, color = 'black', label = "output2")
plt.plot(time, omega_PN_P[:,1], linestyle = '--', color = 'cyan', label = "truth2")
plt.plot(time, omegaOut[:,2], linewidth = 2, color = 'black', label = "output3")
plt.plot(time, omega_PN_P[:,2], linestyle = '--', color = 'cyan', label = "truth3")
plt.xlabel("Time[s]")
plt.ylabel("Angular Rate Component Magnitudes [rad/s]")
plt.title("Angular Rate Comparison")
myLegend = plt.legend()
myLegend.get_frame().set_facecolor('#909090')
unitTestSupport.writeFigureLaTeX(testCase + "omegaComparison",
'Plot Comparing Angular Rate Truth and Output for test: ' + testCase +'. Note that 1, 2, and 3 indicate the components of the angular rate.', plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(7,figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(time, rDotDotOut[:,0], linewidth = 6, color = 'black', label = "output1")
plt.plot(time, rDotDot_SN_P[:,0], linestyle = '--', color = 'cyan', label = "truth1")
plt.plot(time, rDotDotOut[:,1], linewidth = 4, color = 'black', label = "output2")
plt.plot(time, rDotDot_SN_P[:,1], linestyle = '--', color = 'cyan', label = "truth2")
plt.plot(time, rDotDotOut[:,2], linewidth = 2, color = 'black', label = "output3")
plt.plot(time, rDotDot_SN_P[:,2], linestyle = '--', color = 'cyan', label = "truth3")
plt.xlabel("Time[s]")
plt.ylabel("Linear Acceleration Component Magnitudes [m/s/s]")
plt.title("Acceleration Comparison")
myLegend = plt.legend()
myLegend.get_frame().set_facecolor('#909090')
unitTestSupport.writeFigureLaTeX(testCase + "accelComparison",
'Plot Comparing Sensor Linear Accelertaion Truth and Output for test: ' + testCase +'. Note that 1, 2, and 3 indicate the components of the acceleration.', plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(10,figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(time, DVout[:,0], linewidth = 6, color = 'black', label = "output1")
plt.plot(time, DVAccum_SN_P[:,0], linestyle = '--', color = 'cyan', label = "truth1")
plt.plot(time, DVout[:,1], linewidth = 4, color = 'black', label = "output2")
plt.plot(time, DVAccum_SN_P[:,1], linestyle = '--', color = 'cyan', label = "truth2")
plt.plot(time, DVout[:,2], linewidth = 2, color = 'black', label = "output3")
plt.plot(time, DVAccum_SN_P[:,2], linestyle = '--', color = 'cyan', label = "truth3")
plt.xlabel("Time[s]")
plt.ylabel("Step DV Magnitudes [m/s]")
plt.title("DV Comparison")
myLegend = plt.legend()
myLegend.get_frame().set_facecolor('#909090')
unitTestSupport.writeFigureLaTeX(testCase + "DVcomparison",
'Plot Comparing Time Step DV Truth and Output for test: ' + testCase +'. Note that 1, 2, and 3 indicate the components of the velocity delta.', plt,
'height=0.7\\textwidth, keepaspectratio', path)
if show_plots and testCase != "noise":
plt.show()
plt.close('all')
# test outputs
if testCase != 'noise':
for i in range(2,len(stepPRV_PN)-1):
if not unitTestSupport.isArrayEqualRelative(DRout[i+1][:], stepPRV_PN[i][:], 3, accuracy):
testMessages.append("FAILED DR @ i = "+ str(i) + ". \\\\& &")
testFailCount += 1
if not unitTestSupport.isArrayEqualRelative(omegaOut[i+1][:], omega_PN_P[i][:], 3, accuracy):
testMessages.append("FAILED OMEGA @ i = "+ str(i) + ". \\\\& &")
testFailCount += 1
if not (testCase == "discretization" and (i == 572 or i == 934)):
if not unitTestSupport.isArrayEqualRelative(DVout[i+1][:], DVAccum_SN_P[i][:], 3, accuracy):
testMessages.append("FAILED DV @ i = " + str(i) + ". \\\\& &")
testFailCount += 1
if not unitTestSupport.isArrayEqualRelative(rDotDotOut[i+1][:], rDotDot_SN_P[i][:], 3, accuracy):
testMessages.append("FAILED ACCEL @ i = " + str(i) + ". \\\\& &")
testFailCount += 1
else:
DRout = addTimeColumn(dataLog.times(), DRout)[1:,]
rDotDotOut = addTimeColumn(dataLog.times(), rDotDotOut)[1:,]
DVout = addTimeColumn(dataLog.times(), DVout)[1:,]
omegaOut = addTimeColumn(dataLog.times(), omegaOut)[1:,]
DRoutNoise = np.zeros((np.shape(DRout)[0], np.shape(DRout)[1]-1))
for i in range(3,len(stepPRV_PN)-1):
for j in [0,1,2]:
DRoutNoise[i][j] = DRout[i][j+1] - stepPRV_PN[i+1][j]
rDotDotOutNoise = np.zeros((np.shape(DRout)[0], np.shape(DRout)[1] - 1))
for i in range(3, len(stepPRV_PN) - 1):
for j in [0, 1, 2]:
rDotDotOutNoise[i, j] = rDotDotOut[i, j+1] - rDotDot_SN_P[i+1, j]
DVoutNoise = np.zeros((np.shape(DRout)[0], np.shape(DRout)[1] - 1))
for i in range(3, len(stepPRV_PN) - 1):
for j in [0, 1, 2]:
DVoutNoise[i, j] = DVout[i, j + 1] - DVAccum_SN_P[i + 1, j]
omegaOutNoise = np.zeros((np.shape(DRout)[0], np.shape(DRout)[1] - 1))
for i in range(3, len(stepPRV_PN)-1):
for j in [0, 1, 2]:
omegaOutNoise[i, j] = omegaOut[i, j + 1] - omega_PN_P[i + 1, j]
if not unitTestSupport.isDoubleEqualRelative(np.std(DRoutNoise[:,0]),senRotNoiseStd*dt/1.5,accuracy):
testMessages.append(("FAILED DRnoise1. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(DRoutNoise[:,1]),senRotNoiseStd*dt/1.5,accuracy):
testMessages.append(("FAILED DRnoise2. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(DRoutNoise[:,2]),senRotNoiseStd*dt/1.5,accuracy):
testMessages.append(("FAILED DRnoise3. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(DVoutNoise[:,0]),senTransNoiseStd*dt/1.5 * accelScale[0],accuracy):
testMessages.append(("FAILED DVnoise1. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(DVoutNoise[:,1]),senTransNoiseStd*dt/1.5 * accelScale[1],accuracy):
testMessages.append(("FAILED DVnoise2. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(DVoutNoise[:,2]),senTransNoiseStd*dt/1.5 * accelScale[2],accuracy):
testMessages.append(("FAILED DVnoise3. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(rDotDotOutNoise[:,0]),senTransNoiseStd/1.5 * accelScale[0],accuracy):
testMessages.append(("FAILED AccelNoise1. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(rDotDotOutNoise[:,1]),senTransNoiseStd/1.5 * accelScale[1],accuracy):
testMessages.append(("FAILED AccelNoise2. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(rDotDotOutNoise[:,2]),senTransNoiseStd/1.5 * accelScale[2],accuracy):
testMessages.append(("FAILED AccelNoise3. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(omegaOutNoise[:,0]),senRotNoiseStd/1.5,accuracy):
testMessages.append(("FAILED omegaNoise1. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(omegaOutNoise[:,1]),senRotNoiseStd/1.5,accuracy):
testMessages.append(("FAILED oemgaNoise2. \\\\& &"))
testFailCount += 1
if not unitTestSupport.isDoubleEqualRelative(np.std(omegaOutNoise[:,2]),senRotNoiseStd/1.5,accuracy):
testMessages.append(("FAILED omegaNoise3. \\\\& &"))
testFailCount += 1
# noise plots
plt.figure(1000, figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(DRout[1:, 0]/1e9, DVoutNoise[1:,:])
plt.xlabel("Time[s]")
plt.ylabel("DV Noise [um/s]")
plt.title("DV Noise")
unitTestSupport.writeFigureLaTeX("DVnoise",
'Plot of DeltaV noise along each component for the noise test.',
plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(1001, figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(DRout[1:, 0]/1e9, rDotDotOutNoise[1:,:])
plt.xlabel("Time[s]")
plt.ylabel("Acceleration Noise [m/s/s]")
plt.title("Acceleration Noise")
unitTestSupport.writeFigureLaTeX("AccelNoise",
'Plot of acceleration noise along each component for the noise test.',
plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(1002, figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(DRout[1:, 0]/1e9, DRoutNoise[1:,:])
plt.xlabel("Time[s]")
plt.ylabel("DR Noise [rad]")
plt.title("DR Noise")
unitTestSupport.writeFigureLaTeX("DRnoise",
'Plot of PRV noise along each component for the noise test.',
plt,
'height=0.7\\textwidth, keepaspectratio', path)
plt.figure(1003, figsize=(7, 5), dpi=80, facecolor='w', edgecolor='k')
plt.clf()
plt.plot(DRout[1:, 0]/1e9, omegaOutNoise[1:,:])
plt.xlabel("Time[s]")
plt.ylabel("Angular Rate Noise [rad/s]")
plt.title("Angular Rate Noise")
unitTestSupport.writeFigureLaTeX("omegaNoise",
'Plot of Angular Rate noise along each component for the noise test.',
plt,
'height=0.7\\textwidth, keepaspectratio', path)
if show_plots:
plt.show()
plt.close('all')
#
# Outputs to AutoTex
#
accuracySnippetName = testCase+"accuracy"
accuracySnippetContent = '{:1.0e}'.format(accuracy)
unitTestSupport.writeTeXSnippet(accuracySnippetName, accuracySnippetContent, path)
if testFailCount == 0:
colorText = 'ForestGreen'
passedText = r'\textcolor{' + colorText + '}{' + "PASSED" + '}'
else:
colorText = 'Red'
passedText = r'\textcolor{' + colorText + '}{' + "FAILED" + '}'
passFailSnippetName = testCase+"passFail"
passFailSnippetContent = passedText
unitTestSupport.writeTeXSnippet(passFailSnippetName, passFailSnippetContent, path)
snippetName = testCase + "gyroLSB"
snippetContent = '{:1.0e}'.format(gyroLSBIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "accelLSB"
snippetContent = '{:1.0e}'.format(accelLSBIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "rotMax"
snippetContent = '{:1.1e}'.format(senRotMaxIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "transMax"
snippetContent = '{:1.1e}'.format(senTransMaxIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "rotNoise"
snippetContent = '{:0.1f}'.format(senRotNoiseStd)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "transNoise"
snippetContent = '{:0.1f}'.format(senTransNoiseStd)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "rotBias"
snippetContent = '{:1.1e}'.format(senRotBiasIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
snippetName = testCase + "transBias"
snippetContent = '{:1.1e}'.format(senTransBiasIn)
unitTestSupport.writeTeXSnippet(snippetName, snippetContent, path)
if testFailCount:
print(testMessages)
else:
print("PASSED")
return [testFailCount, ''.join(testMessages)]
# This statement below ensures that the unit test script can be run as a
# stand-along python script
if __name__ == "__main__":
# unitSimIMU(True, 'noise', 1.0, 0.01, 0.0, 0.0, 1000., 1000., 0.0, 0.0, 0.0, 0.0, 0., 0., 1e-8)
unitSimIMU(False, 'noise', 1.0, 0.001, 0.0, 0.0, 1000., 1000., .1, .1, 0.1, 0.1, 0.0, 0.0, 1e-1)