Prevent STR Blinding #859
@ -717,22 +717,22 @@ ReturnValue_t AcsParameters::getParameter(uint8_t domainId, uint8_t parameterId,
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case (0x11): // KalmanFilterParameters
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switch (parameterId) {
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case 0x0:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseSTR);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseStr);
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break;
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case 0x1:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseSS);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseSus);
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break;
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case 0x2:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseMAG);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseMgm);
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break;
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case 0x3:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseGYR);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseGyr);
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break;
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case 0x4:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseArwGYR);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseGyrArw);
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break;
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case 0x5:
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseBsGYR);
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parameterWrapper->set(kalmanFilterParameters.sensorNoiseGyrBs);
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break;
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default:
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return INVALID_IDENTIFIER_ID;
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@ -41,8 +41,8 @@ void AttitudeEstimation::quest(acsctrl::SusDataProcessed *susData,
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// Sensor Weights
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double kSus = 0, kMgm = 0;
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kSus = std::pow(acsParameters->kalmanFilterParameters.sensorNoiseSS, -2);
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kMgm = std::pow(acsParameters->kalmanFilterParameters.sensorNoiseMAG, -2);
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kSus = std::pow(acsParameters->kalmanFilterParameters.sensorNoiseSus, -2);
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kMgm = std::pow(acsParameters->kalmanFilterParameters.sensorNoiseMgm, -2);
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// Weighted Vectors
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double weightedSusB[3] = {0, 0, 0}, weightedMgmB[3] = {0, 0, 0}, kSusVec[3] = {0, 0, 0},
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@ -44,7 +44,7 @@ void Guidance::targetQuatPtgTarget(timeval timeAbsolute, const double timeDelta,
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//-------------------------------------------------------------------------------------
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// transform longitude, latitude and altitude to cartesian coordiantes (ECEF)
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double targetF[3] = {0, 0, 0};
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MathOperations<double>::cartesianFromLatLongAlt(
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CoordinateTransformations::cartesianFromLatLongAlt(
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acsParameters->targetModeControllerParameters.latitudeTgt,
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acsParameters->targetModeControllerParameters.longitudeTgt,
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acsParameters->targetModeControllerParameters.altitudeTgt, targetF);
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@ -98,7 +98,7 @@ void Guidance::targetQuatPtgGs(timeval timeAbsolute, const double timeDelta, dou
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//-------------------------------------------------------------------------------------
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// transform longitude, latitude and altitude to cartesian coordiantes (ECEF)
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double posGroundStationF[3] = {0, 0, 0};
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MathOperations<double>::cartesianFromLatLongAlt(
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CoordinateTransformations::cartesianFromLatLongAlt(
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acsParameters->gsTargetModeControllerParameters.latitudeTgt,
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acsParameters->gsTargetModeControllerParameters.longitudeTgt,
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acsParameters->gsTargetModeControllerParameters.altitudeTgt, posGroundStationF);
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@ -8,7 +8,6 @@
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#include <fsfw/globalfunctions/math/VectorOperations.h>
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#include <mission/controller/acs/AcsParameters.h>
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#include <mission/controller/acs/SensorValues.h>
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#include <mission/controller/acs/util/MathOperations.h>
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#include <mission/controller/controllerdefinitions/AcsCtrlDefinitions.h>
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#include <time.h>
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@ -1,19 +1,5 @@
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#include "Igrf13Model.h"
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#include <fsfw/src/fsfw/globalfunctions/constants.h>
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#include <fsfw/src/fsfw/globalfunctions/math/MatrixOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/math/QuaternionOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/math/VectorOperations.h>
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#include <stdint.h>
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#include <string.h>
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#include <time.h>
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#include <cmath>
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#include "util/MathOperations.h"
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using namespace Math;
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Igrf13Model::Igrf13Model() {}
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Igrf13Model::~Igrf13Model() {}
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@ -23,7 +9,7 @@ void Igrf13Model::magFieldComp(const double longitude, const double gcLatitude,
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double magFieldModel[3] = {0, 0, 0};
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double phi = longitude, theta = gcLatitude; // geocentric
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/* Here is the co-latitude needed*/
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theta -= 90 * PI / 180;
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theta -= 90. * M_PI / 180.;
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theta *= (-1);
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double rE = 6371200.0; // radius earth [m]
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@ -83,13 +69,13 @@ void Igrf13Model::magFieldComp(const double longitude, const double gcLatitude,
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magFieldModel[1] *= -1;
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magFieldModel[2] *= (-1 / sin(theta));
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double JD2000 = MathOperations<double>::convertUnixToJD2000(timeOfMagMeasurement);
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double JD2000 = TimeSystems::convertUnixToJD2000(timeOfMagMeasurement);
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double UT1 = JD2000 / 36525.;
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double gst =
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280.46061837 + 360.98564736629 * JD2000 + 0.0003875 * pow(UT1, 2) - 2.6e-8 * pow(UT1, 3);
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gst = std::fmod(gst, 360.);
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gst *= PI / 180.;
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gst *= M_PI / 180.;
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double lst = gst + longitude; // local sidereal time [rad]
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magFieldModelInertial[0] =
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@ -107,7 +93,7 @@ void Igrf13Model::magFieldComp(const double longitude, const double gcLatitude,
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void Igrf13Model::updateCoeffGH(timeval timeOfMagMeasurement) {
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double JD2000Igrf = (2458850.0 - 2451545); // Begin of IGRF-13 (2020-01-01,00:00:00) in JD2000
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double JD2000 = MathOperations<double>::convertUnixToJD2000(timeOfMagMeasurement);
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double JD2000 = TimeSystems::convertUnixToJD2000(timeOfMagMeasurement);
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double days = ceil(JD2000 - JD2000Igrf);
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for (int i = 0; i <= igrfOrder; i++) {
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for (int j = 0; j <= (igrfOrder - 1); j++) {
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@ -16,10 +16,11 @@
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#ifndef IGRF13MODEL_H_
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#define IGRF13MODEL_H_
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#include <fsfw/parameters/HasParametersIF.h>
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#include <stdint.h>
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#include <string.h>
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#include <time.h>
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#include <fsfw/src/fsfw/globalfunctions/constants.h>
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#include <fsfw/src/fsfw/globalfunctions/math/MatrixOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/math/QuaternionOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/math/VectorOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/timeSystems.h>
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#include <cmath>
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@ -9,9 +9,6 @@
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#include <cmath>
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#include "util/CholeskyDecomposition.h"
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#include "util/MathOperations.h"
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MultiplicativeKalmanFilter::MultiplicativeKalmanFilter() {}
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MultiplicativeKalmanFilter::~MultiplicativeKalmanFilter() {}
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@ -25,9 +22,9 @@ ReturnValue_t MultiplicativeKalmanFilter::init(
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if (validMagField_ && validSS && validSSModel && validMagModel) {
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// QUEST ALGO -----------------------------------------------------------------------
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double sigmaSun = 0, sigmaMag = 0, sigmaGyro = 0;
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sigmaSun = acsParameters->kalmanFilterParameters.sensorNoiseSS;
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sigmaMag = acsParameters->kalmanFilterParameters.sensorNoiseMAG;
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sigmaGyro = acsParameters->kalmanFilterParameters.sensorNoiseGYR;
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sigmaSun = acsParameters->kalmanFilterParameters.sensorNoiseSus;
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sigmaMag = acsParameters->kalmanFilterParameters.sensorNoiseMgm;
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sigmaGyro = acsParameters->kalmanFilterParameters.sensorNoiseGyr;
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double normMagB[3] = {0, 0, 0}, normSunB[3] = {0, 0, 0}, normMagJ[3] = {0, 0, 0},
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normSunJ[3] = {0, 0, 0};
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@ -234,9 +231,9 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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// If we are here, MEKF will perform
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double sigmaSun = 0, sigmaMag = 0, sigmaStr = 0;
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sigmaSun = acsParameters->kalmanFilterParameters.sensorNoiseSS;
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sigmaMag = acsParameters->kalmanFilterParameters.sensorNoiseMAG;
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sigmaStr = acsParameters->kalmanFilterParameters.sensorNoiseSTR;
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sigmaSun = acsParameters->kalmanFilterParameters.sensorNoiseSus;
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sigmaMag = acsParameters->kalmanFilterParameters.sensorNoiseMgm;
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sigmaStr = acsParameters->kalmanFilterParameters.sensorNoiseStr;
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double normMagB[3] = {0, 0, 0}, normSunB[3] = {0, 0, 0}, normMagJ[3] = {0, 0, 0},
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normSunJ[3] = {0, 0, 0};
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@ -264,8 +261,8 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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double measSensMatrix11[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; // ss
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double measSensMatrix22[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}}; // mag
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double measSensMatrix33[3][3] = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}; // str
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MathOperations<double>::skewMatrix(sunEstB, *measSensMatrix11);
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MathOperations<double>::skewMatrix(magEstB, *measSensMatrix22);
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MatrixOperations<double>::skewMatrix(sunEstB, *measSensMatrix11);
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MatrixOperations<double>::skewMatrix(magEstB, *measSensMatrix22);
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double measVecQuat[3] = {0, 0, 0};
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if (validSTR_) {
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@ -837,8 +834,9 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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MatrixOperations<double>::add(*residualCov, *measCovMatrix, *residualCov, MDF, MDF);
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// <<INVERSE residualCov HIER>>
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double invResidualCov[MDF][MDF] = {{0}};
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int inversionFailed = MathOperations<double>::inverseMatrix(*residualCov, *invResidualCov, MDF);
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if (inversionFailed) {
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ReturnValue_t result =
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MatrixOperations<double>::inverseMatrix(*residualCov, *invResidualCov, MDF);
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if (result != returnvalue::OK) {
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updateDataSetWithoutData(mekfData, MekfStatus::COVARIANCE_INVERSION_FAILED);
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return MEKF_COVARIANCE_INVERSION_FAILED; // RETURN VALUE ? -- Like: Kalman Inversion Failed
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}
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@ -874,7 +872,7 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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// State Vector Elements
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double xi1[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}},
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xi2[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
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MathOperations<double>::skewMatrix(propagatedQuaternion, *xi2);
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MatrixOperations<double>::skewMatrix(propagatedQuaternion, *xi2);
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double identityMatrix3[3][3] = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
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MatrixOperations<double>::multiplyScalar(*identityMatrix3, propagatedQuaternion[3], *xi1, 3, 3);
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MatrixOperations<double>::add(*xi1, *xi2, *xi1, 3, 3);
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@ -898,8 +896,8 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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biasGYR[2] = updatedGyroBias[2];
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/* ----------- PROPAGATION ----------*/
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double sigmaU = acsParameters->kalmanFilterParameters.sensorNoiseBsGYR;
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double sigmaV = acsParameters->kalmanFilterParameters.sensorNoiseArwGYR;
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double sigmaU = acsParameters->kalmanFilterParameters.sensorNoiseGyrBs;
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double sigmaV = acsParameters->kalmanFilterParameters.sensorNoiseGyrArw;
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double discTimeMatrix[6][6] = {{-1, 0, 0, 0, 0, 0}, {0, -1, 0, 0, 0, 0}, {0, 0, -1, 0, 0, 0},
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{0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}};
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@ -1057,7 +1055,7 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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VectorOperations<double>::mulScalar(rotRateEst, sinFac, rotSin, 3);
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double skewSin[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
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MathOperations<double>::skewMatrix(rotSin, *skewSin);
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MatrixOperations<double>::skewMatrix(rotSin, *skewSin);
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MatrixOperations<double>::multiplyScalar(*identityMatrix3, rotCos, *rotCosMat, 3, 3);
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double subMatUL[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
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@ -1080,8 +1078,8 @@ ReturnValue_t MultiplicativeKalmanFilter::mekfEst(
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MatrixOperations<double>::add(*cov0, *cov1, *initialCovarianceMatrix, 6, 6);
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if (not(MathOperations<double>::checkVectorIsFinite(propagatedQuaternion, 4)) ||
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not(MathOperations<double>::checkMatrixIsFinite(initialQuaternion, 6, 6))) {
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if (not(VectorOperations<double>::isFinite(propagatedQuaternion, 4)) ||
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not(MatrixOperations<double>::isFinite(initialQuaternion, 6, 6))) {
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updateDataSetWithoutData(mekfData, MekfStatus::NOT_FINITE);
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return MEKF_NOT_FINITE;
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}
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@ -5,9 +5,6 @@
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#include <fsfw/globalfunctions/math/VectorOperations.h>
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#include <math.h>
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#include "util/CholeskyDecomposition.h"
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#include "util/MathOperations.h"
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Navigation::Navigation() {}
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Navigation::~Navigation() {}
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@ -180,7 +180,7 @@ void SensorProcessing::processSus(
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const AcsParameters::SunModelParameters *sunModelParameters,
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acsctrl::SusDataProcessed *susDataProcessed) {
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/* -------- Sun Model Direction (IJK frame) ------- */
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double JD2000 = MathOperations<double>::convertUnixToJD2000(timeAbsolute);
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double JD2000 = TimeSystems::convertUnixToJD2000(timeAbsolute);
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// Julean Centuries
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double sunIjkModel[3] = {0.0, 0.0, 0.0};
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@ -528,8 +528,8 @@ void SensorProcessing::processGps(const double gpsLatitude, const double gpsLong
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uint8_t gpsSource = acs::gps::Source::NONE;
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// We do not trust the GPS and therefore it shall die here if SPG4 is running
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if (gpsDataProcessed->source.value == acs::gps::Source::SPG4 and gpsParameters->useSpg4) {
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MathOperations<double>::latLongAltFromCartesian(gpsDataProcessed->gpsPosition.value, gdLatitude,
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gdLongitude, altitude);
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CoordinateTransformations::latLongAltFromCartesian(gpsDataProcessed->gpsPosition.value,
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gdLatitude, gdLongitude, altitude);
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double factor = 1 - pow(ECCENTRICITY_WGS84, 2);
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gcLatitude = atan(factor * tan(gdLatitude));
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{
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@ -559,7 +559,7 @@ void SensorProcessing::processGps(const double gpsLatitude, const double gpsLong
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// Calculation of the satellite velocity in earth fixed frame
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double deltaDistance[3] = {0, 0, 0};
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MathOperations<double>::cartesianFromLatLongAlt(latitudeRad, gdLongitude, altitude, posSatE);
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CoordinateTransformations::cartesianFromLatLongAlt(latitudeRad, gdLongitude, altitude, posSatE);
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if (validSavedPosSatE and timeDelta < (gpsParameters->timeDiffVelocityMax) and timeDelta > 0) {
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VectorOperations<double>::subtract(posSatE, savedPosSatE, deltaDistance, 3);
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VectorOperations<double>::mulScalar(deltaDistance, 1. / timeDelta, gpsVelocityE, 3);
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@ -2,11 +2,13 @@
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#define SENSORPROCESSING_H_
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#include <common/config/eive/resultClassIds.h>
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#include <fsfw/coordinates/CoordinateTransformations.h>
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#include <fsfw/datapool/PoolReadGuard.h>
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#include <fsfw/globalfunctions/constants.h>
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#include <fsfw/globalfunctions/math/MatrixOperations.h>
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#include <fsfw/globalfunctions/math/QuaternionOperations.h>
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#include <fsfw/globalfunctions/math/VectorOperations.h>
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#include <fsfw/globalfunctions/timeSystems.h>
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#include <fsfw/globalfunctions/timevalOperations.h>
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#include <fsfw/returnvalues/returnvalue.h>
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#include <mission/acs/defs.h>
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@ -14,7 +16,6 @@
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#include <mission/controller/acs/Igrf13Model.h>
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#include <mission/controller/acs/SensorValues.h>
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#include <mission/controller/acs/SusConverter.h>
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#include <mission/controller/acs/util/MathOperations.h>
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#include <mission/controller/controllerdefinitions/AcsCtrlDefinitions.h>
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#include <cmath>
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@ -1,478 +0,0 @@
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#ifndef MATH_MATHOPERATIONS_H_
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#define MATH_MATHOPERATIONS_H_
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#include <fsfw/src/fsfw/globalfunctions/math/MatrixOperations.h>
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#include <fsfw/src/fsfw/globalfunctions/sign.h>
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#include <cmath>
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// Most of these functions already exist within the FSFW and are redundant
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// All others should have been merged into the FSFW
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// So if you are that bored, that you are reading this, you were better of merging these now
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template <typename T1, typename T2 = T1>
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class MathOperations {
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public:
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static void skewMatrix(const T1 vector[], T2 *result) {
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// Input Dimension [3], Output [3][3]
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result[0] = 0;
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result[1] = -vector[2];
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result[2] = vector[1];
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result[3] = vector[2];
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result[4] = 0;
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result[5] = -vector[0];
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result[6] = -vector[1];
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result[7] = vector[0];
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result[8] = 0;
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}
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static void vecTransposeVecMatrix(const T1 vector1[], const T1 transposeVector2[], T2 *result,
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uint8_t size = 3) {
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// Looks like MatrixOpertions::multiply is able to do the same thing
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for (uint8_t resultColumn = 0; resultColumn < size; resultColumn++) {
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for (uint8_t resultRow = 0; resultRow < size; resultRow++) {
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result[resultColumn + size * resultRow] =
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vector1[resultRow] * transposeVector2[resultColumn];
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}
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}
|
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/*matrixSun[i][j] = sunEstB[i] * sunEstB[j];
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matrixMag[i][j] = magEstB[i] * magEstB[j];
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matrixSunMag[i][j] = sunEstB[i] * magEstB[j];
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matrixMagSun[i][j] = magEstB[i] * sunEstB[j];*/
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}
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static void selectionSort(const T1 *matrix, T1 *result, uint8_t rowSize, uint8_t colSize) {
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int min_idx;
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T1 temp;
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std::memcpy(result, matrix, rowSize * colSize * sizeof(*result));
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// One by one move boundary of unsorted subarray
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for (int k = 0; k < rowSize; k++) {
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for (int i = 0; i < colSize - 1; i++) {
|
||||
// Find the minimum element in unsorted array
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min_idx = i;
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for (int j = i + 1; j < colSize; j++) {
|
||||
if (result[j + k * colSize] < result[min_idx + k * colSize]) {
|
||||
min_idx = j;
|
||||
}
|
||||
}
|
||||
// Swap the found minimum element with the first element
|
||||
temp = result[i + k * colSize];
|
||||
result[i + k * colSize] = result[min_idx + k * colSize];
|
||||
result[min_idx + k * colSize] = temp;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
static void convertDateToJD2000(const T1 time, T2 julianDate) {
|
||||
// time = { Y, M, D, h, m,s}
|
||||
// time in sec and microsec -> The Epoch (unixtime)
|
||||
julianDate = 1721013.5 + 367 * time[0] - floor(7 / 4 * (time[0] + (time[1] + 9) / 12)) +
|
||||
floor(275 * time[1] / 9) + time[2] +
|
||||
(60 * time[3] + time[4] + (time(5) / 60)) / 1440;
|
||||
}
|
||||
|
||||
static T1 convertUnixToJD2000(timeval time) {
|
||||
// time = {{s},{us}}
|
||||
T1 julianDate2000;
|
||||
julianDate2000 = (time.tv_sec / 86400.0) + 2440587.5 - 2451545;
|
||||
return julianDate2000;
|
||||
}
|
||||
|
||||
static void dcmFromQuat(const T1 vector[], T1 *outputDcm) {
|
||||
// convention q = [qx,qy,qz, qw]
|
||||
outputDcm[0] = pow(vector[0], 2) - pow(vector[1], 2) - pow(vector[2], 2) + pow(vector[3], 2);
|
||||
outputDcm[1] = 2 * (vector[0] * vector[1] + vector[2] * vector[3]);
|
||||
outputDcm[2] = 2 * (vector[0] * vector[2] - vector[1] * vector[3]);
|
||||
|
||||
outputDcm[3] = 2 * (vector[1] * vector[0] - vector[2] * vector[3]);
|
||||
outputDcm[4] = -pow(vector[0], 2) + pow(vector[1], 2) - pow(vector[2], 2) + pow(vector[3], 2);
|
||||
outputDcm[5] = 2 * (vector[1] * vector[2] + vector[0] * vector[3]);
|
||||
|
||||
outputDcm[6] = 2 * (vector[2] * vector[0] + vector[1] * vector[3]);
|
||||
outputDcm[7] = 2 * (vector[2] * vector[1] - vector[0] * vector[3]);
|
||||
outputDcm[8] = -pow(vector[0], 2) - pow(vector[1], 2) + pow(vector[2], 2) + pow(vector[3], 2);
|
||||
}
|
||||
|
||||
static void cartesianFromLatLongAlt(const T1 lat, const T1 longi, const T1 alt,
|
||||
T2 *cartesianOutput) {
|
||||
/* @brief: cartesianFromLatLongAlt() - calculates cartesian coordinates in ECEF from latitude,
|
||||
* longitude and altitude
|
||||
* @param: lat geodetic latitude [rad]
|
||||
* longi longitude [rad]
|
||||
* alt altitude [m]
|
||||
* cartesianOutput Cartesian Coordinates in ECEF (3x1)
|
||||
* @source: Fundamentals of Spacecraft Attitude Determination and Control, P.34ff
|
||||
* Landis Markley and John L. Crassidis*/
|
||||
double radiusPolar = 6356752.314;
|
||||
double radiusEqua = 6378137;
|
||||
|
||||
double eccentricity = sqrt(1 - pow(radiusPolar, 2) / pow(radiusEqua, 2));
|
||||
double auxRadius = radiusEqua / sqrt(1 - pow(eccentricity, 2) * pow(sin(lat), 2));
|
||||
|
||||
cartesianOutput[0] = (auxRadius + alt) * cos(lat) * cos(longi);
|
||||
cartesianOutput[1] = (auxRadius + alt) * cos(lat) * sin(longi);
|
||||
cartesianOutput[2] = ((1 - pow(eccentricity, 2)) * auxRadius + alt) * sin(lat);
|
||||
}
|
||||
|
||||
static void latLongAltFromCartesian(const T1 *vector, T1 &latitude, T1 &longitude, T1 &altitude) {
|
||||
/* @brief: latLongAltFromCartesian() - calculates latitude, longitude and altitude from
|
||||
* cartesian coordinates in ECEF
|
||||
* @param: x x-value of position vector [m]
|
||||
* y y-value of position vector [m]
|
||||
* z z-value of position vector [m]
|
||||
* latitude geodetic latitude [rad]
|
||||
* longitude longitude [rad]
|
||||
* altitude altitude [m]
|
||||
* @source: Fundamentals of Spacecraft Attitude Determination and Control, P.35 f
|
||||
* Landis Markley and John L. Crassidis*/
|
||||
// From World Geodetic System the Earth Radii
|
||||
double a = 6378137.0; // semimajor axis [m]
|
||||
double b = 6356752.3142; // semiminor axis [m]
|
||||
|
||||
// Calculation
|
||||
double e2 = 1 - pow(b, 2) / pow(a, 2);
|
||||
double epsilon2 = pow(a, 2) / pow(b, 2) - 1;
|
||||
double rho = sqrt(pow(vector[0], 2) + pow(vector[1], 2));
|
||||
double p = std::abs(vector[2]) / epsilon2;
|
||||
double s = pow(rho, 2) / (e2 * epsilon2);
|
||||
double q = pow(p, 2) - pow(b, 2) + s;
|
||||
double u = p / sqrt(q);
|
||||
double v = pow(b, 2) * pow(u, 2) / q;
|
||||
double P = 27 * v * s / q;
|
||||
double Q = pow(sqrt(P + 1) + sqrt(P), 2. / 3.);
|
||||
double t = (1 + Q + 1 / Q) / 6;
|
||||
double c = sqrt(pow(u, 2) - 1 + 2 * t);
|
||||
double w = (c - u) / 2;
|
||||
double d =
|
||||
sign(vector[2]) * sqrt(q) * (w + sqrt(sqrt(pow(t, 2) + v) - u * w - t / 2 - 1. / 4.));
|
||||
double N = a * sqrt(1 + epsilon2 * pow(d, 2) / pow(b, 2));
|
||||
latitude = asin((epsilon2 + 1) * d / N);
|
||||
altitude = rho * cos(latitude) + vector[2] * sin(latitude) - pow(a, 2) / N;
|
||||
longitude = atan2(vector[1], vector[0]);
|
||||
}
|
||||
|
||||
static void dcmEJ(timeval time, T1 *outputDcmEJ, T1 *outputDotDcmEJ) {
|
||||
/* @brief: dcmEJ() - calculates the transformation matrix between ECEF and ECI frame
|
||||
* @param: time Current time
|
||||
* outputDcmEJ Transformation matrix from ECI (J) to ECEF (E) [3][3]
|
||||
* outputDotDcmEJ Derivative of transformation matrix [3][3]
|
||||
* @source: Fundamentals of Spacecraft Attitude Determination and Control, P.32ff
|
||||
* Landis Markley and John L. Crassidis*/
|
||||
double JD2000Floor = 0;
|
||||
double JD2000 = convertUnixToJD2000(time);
|
||||
// Getting Julian Century from Day start : JD (Y,M,D,0,0,0)
|
||||
JD2000Floor = floor(JD2000);
|
||||
if ((JD2000 - JD2000Floor) < 0.5) {
|
||||
JD2000Floor -= 0.5;
|
||||
} else {
|
||||
JD2000Floor += 0.5;
|
||||
}
|
||||
|
||||
double JC2000 = JD2000Floor / 36525;
|
||||
double sec = (JD2000 - JD2000Floor) * 86400;
|
||||
double gmst = 0; // greenwich mean sidereal time
|
||||
gmst = 24110.54841 + 8640184.812866 * JC2000 + 0.093104 * pow(JC2000, 2) -
|
||||
0.0000062 * pow(JC2000, 3) + 1.002737909350795 * sec;
|
||||
double rest = gmst / 86400;
|
||||
double FloorRest = floor(rest);
|
||||
double secOfDay = rest - FloorRest;
|
||||
secOfDay *= 86400;
|
||||
gmst = secOfDay / 240 * M_PI / 180;
|
||||
|
||||
outputDcmEJ[0] = cos(gmst);
|
||||
outputDcmEJ[1] = sin(gmst);
|
||||
outputDcmEJ[2] = 0;
|
||||
outputDcmEJ[3] = -sin(gmst);
|
||||
outputDcmEJ[4] = cos(gmst);
|
||||
outputDcmEJ[5] = 0;
|
||||
outputDcmEJ[6] = 0;
|
||||
outputDcmEJ[7] = 0;
|
||||
outputDcmEJ[8] = 1;
|
||||
|
||||
// Derivative of dmcEJ WITHOUT PRECISSION AND NUTATION
|
||||
double dcmEJCalc[3][3] = {{outputDcmEJ[0], outputDcmEJ[1], outputDcmEJ[2]},
|
||||
{outputDcmEJ[3], outputDcmEJ[4], outputDcmEJ[5]},
|
||||
{outputDcmEJ[6], outputDcmEJ[7], outputDcmEJ[8]}};
|
||||
double dcmDot[3][3] = {{0, 1, 0}, {-1, 0, 0}, {0, 0, 0}};
|
||||
double omegaEarth = 0.000072921158553;
|
||||
double dotDcmEJ[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
MatrixOperations<double>::multiply(*dcmDot, *dcmEJCalc, *dotDcmEJ, 3, 3, 3);
|
||||
MatrixOperations<double>::multiplyScalar(*dotDcmEJ, omegaEarth, outputDotDcmEJ, 3, 3);
|
||||
}
|
||||
|
||||
/* @brief: ecfToEciWithNutPre() - calculates the transformation matrix between ECEF and ECI frame
|
||||
* give also the back the derivative of this matrix
|
||||
* @param: unixTime Current time in Unix format
|
||||
* outputDcmEJ Transformation matrix from ECI (J) to ECEF (E) [3][3]
|
||||
* outputDotDcmEJ Derivative of transformation matrix [3][3]
|
||||
* @source: Entwicklung einer Simulationsumgebung und robuster Algorithmen für das Lage- und
|
||||
Orbitkontrollsystem der Kleinsatelliten Flying Laptop und PERSEUS, P.244ff
|
||||
* Oliver Zeile
|
||||
*
|
||||
https://eive-cloud.irs.uni-stuttgart.de/index.php/apps/files/?dir=/EIVE_Studenten/Marquardt_Robin&openfile=896110*/
|
||||
static void ecfToEciWithNutPre(timeval unixTime, T1 *outputDcmEJ, T1 *outputDotDcmEJ) {
|
||||
// TT = UTC/Unix + 32.184s (TAI Difference) + 27 (Leap Seconds in UTC since 1972) + 10
|
||||
//(initial Offset) International Atomic Time (TAI)
|
||||
|
||||
double JD2000UTC1 = convertUnixToJD2000(unixTime);
|
||||
|
||||
// Julian Date / century from TT
|
||||
timeval terestrialTime = unixTime;
|
||||
terestrialTime.tv_sec = unixTime.tv_sec + 32.184 + 37;
|
||||
double JD2000TT = convertUnixToJD2000(terestrialTime);
|
||||
double JC2000TT = JD2000TT / 36525;
|
||||
|
||||
//-------------------------------------------------------------------------------------
|
||||
// Calculation of Transformation from earth rotation Theta
|
||||
//-------------------------------------------------------------------------------------
|
||||
double theta[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
// Earth Rotation angle
|
||||
double era = 0;
|
||||
era = 2 * M_PI * (0.779057273264 + 1.00273781191135448 * JD2000UTC1);
|
||||
// Greenwich Mean Sidereal Time
|
||||
double gmst2000 = 0.014506 + 4612.15739966 * JC2000TT + 1.39667721 * pow(JC2000TT, 2) -
|
||||
0.00009344 * pow(JC2000TT, 3) + 0.00001882 * pow(JC2000TT, 4);
|
||||
double arcsecFactor = 1 * M_PI / (180 * 3600);
|
||||
gmst2000 *= arcsecFactor;
|
||||
gmst2000 += era;
|
||||
|
||||
theta[0][0] = cos(gmst2000);
|
||||
theta[0][1] = sin(gmst2000);
|
||||
theta[0][2] = 0;
|
||||
theta[1][0] = -sin(gmst2000);
|
||||
theta[1][1] = cos(gmst2000);
|
||||
theta[1][2] = 0;
|
||||
theta[2][0] = 0;
|
||||
theta[2][1] = 0;
|
||||
theta[2][2] = 1;
|
||||
|
||||
//-------------------------------------------------------------------------------------
|
||||
// Calculation of Transformation from earth Precession P
|
||||
//-------------------------------------------------------------------------------------
|
||||
double precession[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
|
||||
double zeta = 2306.2181 * JC2000TT + 0.30188 * pow(JC2000TT, 2) + 0.017998 * pow(JC2000TT, 3);
|
||||
double theta2 = 2004.3109 * JC2000TT - 0.42665 * pow(JC2000TT, 2) - 0.041833 * pow(JC2000TT, 3);
|
||||
double ze = zeta + 0.79280 * pow(JC2000TT, 2) + 0.000205 * pow(JC2000TT, 3);
|
||||
|
||||
zeta *= arcsecFactor;
|
||||
theta2 *= arcsecFactor;
|
||||
ze *= arcsecFactor;
|
||||
|
||||
precession[0][0] = -sin(ze) * sin(zeta) + cos(ze) * cos(theta2) * cos(zeta);
|
||||
precession[1][0] = cos(ze) * sin(zeta) + sin(ze) * cos(theta2) * cos(zeta);
|
||||
precession[2][0] = sin(theta2) * cos(zeta);
|
||||
precession[0][1] = -sin(ze) * cos(zeta) - cos(ze) * cos(theta2) * sin(zeta);
|
||||
precession[1][1] = cos(ze) * cos(zeta) - sin(ze) * cos(theta2) * sin(zeta);
|
||||
precession[2][1] = -sin(theta2) * sin(zeta);
|
||||
precession[0][2] = -cos(ze) * sin(theta2);
|
||||
precession[1][2] = -sin(ze) * sin(theta2);
|
||||
precession[2][2] = cos(theta2);
|
||||
|
||||
//-------------------------------------------------------------------------------------
|
||||
// Calculation of Transformation from earth Nutation N
|
||||
//-------------------------------------------------------------------------------------
|
||||
double nutation[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
// lunar asc node
|
||||
double Om = 125 * 3600 + 2 * 60 + 40.28 - (1934 * 3600 + 8 * 60 + 10.539) * JC2000TT +
|
||||
7.455 * pow(JC2000TT, 2) + 0.008 * pow(JC2000TT, 3);
|
||||
Om *= arcsecFactor;
|
||||
// delta psi approx
|
||||
double dp = -17.2 * arcsecFactor * sin(Om);
|
||||
|
||||
// delta eps approx
|
||||
double de = 9.203 * arcsecFactor * cos(Om);
|
||||
|
||||
// % true obliquity of the ecliptic eps p.71 (simplified)
|
||||
double e = 23.43929111 * M_PI / 180 - 46.8150 / 3600 * JC2000TT * M_PI / 180;
|
||||
|
||||
nutation[0][0] = cos(dp);
|
||||
nutation[1][0] = cos(e + de) * sin(dp);
|
||||
nutation[2][0] = sin(e + de) * sin(dp);
|
||||
nutation[0][1] = -cos(e) * sin(dp);
|
||||
nutation[1][1] = cos(e) * cos(e + de) * cos(dp) + sin(e) * sin(e + de);
|
||||
nutation[2][1] = cos(e) * sin(e + de) * cos(dp) - sin(e) * cos(e + de);
|
||||
nutation[0][2] = -sin(e) * sin(dp);
|
||||
nutation[1][2] = sin(e) * cos(e + de) * cos(dp) - cos(e) * sin(e + de);
|
||||
nutation[2][2] = sin(e) * sin(e + de) * cos(dp) + cos(e) * cos(e + de);
|
||||
|
||||
//-------------------------------------------------------------------------------------
|
||||
// Calculation of Derivative of rotation matrix from earth
|
||||
//-------------------------------------------------------------------------------------
|
||||
double thetaDot[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
double dotMatrix[3][3] = {{0, 1, 0}, {-1, 0, 0}, {0, 0, 0}};
|
||||
double omegaEarth = 0.000072921158553;
|
||||
MatrixOperations<double>::multiply(*dotMatrix, *theta, *thetaDot, 3, 3, 3);
|
||||
MatrixOperations<double>::multiplyScalar(*thetaDot, omegaEarth, *thetaDot, 3, 3);
|
||||
|
||||
//-------------------------------------------------------------------------------------
|
||||
// Calculation of transformation matrix and Derivative of transformation matrix
|
||||
//-------------------------------------------------------------------------------------
|
||||
double nutationPrecession[3][3] = {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}};
|
||||
MatrixOperations<double>::multiply(*nutation, *precession, *nutationPrecession, 3, 3, 3);
|
||||
MatrixOperations<double>::multiply(*nutationPrecession, *theta, outputDcmEJ, 3, 3, 3);
|
||||
|
||||
MatrixOperations<double>::multiply(*nutationPrecession, *thetaDot, outputDotDcmEJ, 3, 3, 3);
|
||||
}
|
||||
static void inverseMatrixDimThree(const T1 *matrix, T1 *output) {
|
||||
int i, j;
|
||||
double determinant = 0;
|
||||
double mat[3][3] = {{matrix[0], matrix[1], matrix[2]},
|
||||
{matrix[3], matrix[4], matrix[5]},
|
||||
{matrix[6], matrix[7], matrix[8]}};
|
||||
|
||||
for (i = 0; i < 3; i++) {
|
||||
determinant = determinant + (mat[0][i] * (mat[1][(i + 1) % 3] * mat[2][(i + 2) % 3] -
|
||||
mat[1][(i + 2) % 3] * mat[2][(i + 1) % 3]));
|
||||
}
|
||||
// cout<<"\n\ndeterminant: "<<determinant;
|
||||
// cout<<"\n\nInverse of matrix is: \n";
|
||||
for (i = 0; i < 3; i++) {
|
||||
for (j = 0; j < 3; j++) {
|
||||
output[i * 3 + j] = ((mat[(j + 1) % 3][(i + 1) % 3] * mat[(j + 2) % 3][(i + 2) % 3]) -
|
||||
(mat[(j + 1) % 3][(i + 2) % 3] * mat[(j + 2) % 3][(i + 1) % 3])) /
|
||||
determinant;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
static float matrixDeterminant(const T1 *inputMatrix, uint8_t size) {
|
||||
/* do not use this. takes 300ms */
|
||||
float det = 0;
|
||||
T1 matrix[size][size], submatrix[size - 1][size - 1];
|
||||
for (uint8_t row = 0; row < size; row++) {
|
||||
for (uint8_t col = 0; col < size; col++) {
|
||||
matrix[row][col] = inputMatrix[row * size + col];
|
||||
}
|
||||
}
|
||||
if (size == 2)
|
||||
return ((matrix[0][0] * matrix[1][1]) - (matrix[1][0] * matrix[0][1]));
|
||||
else {
|
||||
for (uint8_t col = 0; col < size; col++) {
|
||||
int subRow = 0;
|
||||
for (uint8_t rowIndex = 1; rowIndex < size; rowIndex++) {
|
||||
int subCol = 0;
|
||||
for (uint8_t colIndex = 0; colIndex < size; colIndex++) {
|
||||
if (colIndex == col) continue;
|
||||
submatrix[subRow][subCol] = matrix[rowIndex][colIndex];
|
||||
subCol++;
|
||||
}
|
||||
subRow++;
|
||||
}
|
||||
det += (pow(-1, col) * matrix[0][col] *
|
||||
MathOperations<T1>::matrixDeterminant(*submatrix, size - 1));
|
||||
}
|
||||
}
|
||||
return det;
|
||||
}
|
||||
|
||||
static ReturnValue_t inverseMatrix(const T1 *inputMatrix, T1 *inverse, uint8_t size) {
|
||||
// Stopwatch stopwatch;
|
||||
T1 matrix[size][size], identity[size][size];
|
||||
// reformat array to matrix
|
||||
for (uint8_t row = 0; row < size; row++) {
|
||||
for (uint8_t col = 0; col < size; col++) {
|
||||
matrix[row][col] = inputMatrix[row * size + col];
|
||||
}
|
||||
}
|
||||
// init identity matrix
|
||||
std::memset(identity, 0.0, sizeof(identity));
|
||||
for (uint8_t diag = 0; diag < size; diag++) {
|
||||
identity[diag][diag] = 1;
|
||||
}
|
||||
// gauss-jordan algo
|
||||
// sort matrix such as no diag entry shall be 0
|
||||
for (uint8_t row = 0; row < size; row++) {
|
||||
if (matrix[row][row] == 0.0) {
|
||||
bool swaped = false;
|
||||
uint8_t rowIndex = 0;
|
||||
while ((rowIndex < size) && !swaped) {
|
||||
if ((matrix[rowIndex][row] != 0.0) && (matrix[row][rowIndex] != 0.0)) {
|
||||
for (uint8_t colIndex = 0; colIndex < size; colIndex++) {
|
||||
std::swap(matrix[row][colIndex], matrix[rowIndex][colIndex]);
|
||||
std::swap(identity[row][colIndex], identity[rowIndex][colIndex]);
|
||||
}
|
||||
swaped = true;
|
||||
}
|
||||
rowIndex++;
|
||||
}
|
||||
if (!swaped) {
|
||||
return returnvalue::FAILED; // matrix not invertible
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
for (int row = 0; row < size; row++) {
|
||||
if (matrix[row][row] == 0.0) {
|
||||
uint8_t rowIndex;
|
||||
if (row == 0) {
|
||||
rowIndex = size - 1;
|
||||
} else {
|
||||
rowIndex = row - 1;
|
||||
}
|
||||
for (uint8_t colIndex = 0; colIndex < size; colIndex++) {
|
||||
std::swap(matrix[row][colIndex], matrix[rowIndex][colIndex]);
|
||||
std::swap(identity[row][colIndex], identity[rowIndex][colIndex]);
|
||||
}
|
||||
row--;
|
||||
if (row < 0) {
|
||||
return returnvalue::FAILED; // Matrix is not invertible
|
||||
}
|
||||
}
|
||||
}
|
||||
// remove non diag elements in matrix (jordan)
|
||||
for (int row = 0; row < size; row++) {
|
||||
for (int rowIndex = 0; rowIndex < size; rowIndex++) {
|
||||
if (row != rowIndex) {
|
||||
double ratio = matrix[rowIndex][row] / matrix[row][row];
|
||||
for (int colIndex = 0; colIndex < size; colIndex++) {
|
||||
matrix[rowIndex][colIndex] -= ratio * matrix[row][colIndex];
|
||||
identity[rowIndex][colIndex] -= ratio * identity[row][colIndex];
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
// normalize rows in matrix (gauss)
|
||||
for (int row = 0; row < size; row++) {
|
||||
for (int col = 0; col < size; col++) {
|
||||
identity[row][col] = identity[row][col] / matrix[row][row];
|
||||
}
|
||||
}
|
||||
std::memcpy(inverse, identity, sizeof(identity));
|
||||
return returnvalue::OK; // successful inversion
|
||||
}
|
||||
|
||||
static bool checkVectorIsFinite(const T1 *inputVector, uint8_t size) {
|
||||
for (uint8_t i = 0; i < size; i++) {
|
||||
if (not std::isfinite(inputVector[i])) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
static bool checkMatrixIsFinite(const T1 *inputMatrix, uint8_t rows, uint8_t cols) {
|
||||
for (uint8_t col = 0; col < cols; col++) {
|
||||
for (uint8_t row = 0; row < rows; row++) {
|
||||
if (not std::isfinite(inputMatrix[row * cols + col])) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
static void writeSubmatrix(T1 *mainMatrix, T1 *subMatrix, uint8_t subRows, uint8_t subCols,
|
||||
uint8_t mainRows, uint8_t mainCols, uint8_t startRow,
|
||||
uint8_t startCol) {
|
||||
if ((startRow + subRows > mainRows) or (startCol + subCols > mainCols)) {
|
||||
return;
|
||||
}
|
||||
for (uint8_t row = 0; row < subRows; row++) {
|
||||
for (uint8_t col = 0; col < subCols; col++) {
|
||||
mainMatrix[(startRow + row) * mainCols + (startCol + col)] = subMatrix[row * subCols + col];
|
||||
}
|
||||
}
|
||||
}
|
||||
};
|
||||
|
||||
#endif /* ACS_MATH_MATHOPERATIONS_H_ */
|
||||
Loading…
Reference in New Issue
Block a user