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ekf2: cleanup zero innovation heading fusion 

- refactor updateQuaternion() to compute the yaw jacobian directly (respecting  the rotation sequence determination)
 - fuseHeading()/fuseYaw321()/fuseYaw312() helpers are eliminated and now mag heading fusion and EV yaw fusion compute the innovation in place
 - clear up logic for performing zero innovation heading fusion when quaternion variance exceeds threshold (no more _is_yaw_fusion_inhibited flag manipulation)
 - when at rest continue fusing last static heading with very low variance even if other heading sources are active
This commit is contained in:
Daniel Agar 2022-07-07 18:58:42 -04:00
parent ed14151734
commit 39453405a0
11 changed files with 948 additions and 990 deletions
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1
src/modules/ekf2/CMakeLists.txt
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@ -72,6 +72,7 @@ px4_add_module(
EKF/terrain_estimator.cpp EKF/terrain_estimator.cpp
EKF/utils.cpp EKF/utils.cpp
EKF/vel_pos_fusion.cpp EKF/vel_pos_fusion.cpp
EKF/zero_innovation_heading_update.cpp
EKF/zero_velocity_update.cpp EKF/zero_velocity_update.cpp
EKF2.cpp EKF2.cpp

1
src/modules/ekf2/EKF/CMakeLists.txt
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@ -57,6 +57,7 @@ add_library(ecl_EKF
terrain_estimator.cpp terrain_estimator.cpp
utils.cpp utils.cpp
vel_pos_fusion.cpp vel_pos_fusion.cpp
zero_innovation_heading_update.cpp
zero_velocity_update.cpp zero_velocity_update.cpp
) )

13
src/modules/ekf2/EKF/control.cpp
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@ -190,6 +190,8 @@ void Ekf::controlFusionModes()
// Additional horizontal velocity data from an auxiliary sensor can be fused // Additional horizontal velocity data from an auxiliary sensor can be fused
controlAuxVelFusion(); controlAuxVelFusion();
controlZeroInnovationHeadingUpdate();
controlZeroVelocityUpdate(); controlZeroVelocityUpdate();
// Fake position measurement for constraining drift when no other velocity or position measurements // Fake position measurement for constraining drift when no other velocity or position measurements
@ -364,14 +366,11 @@ void Ekf::controlExternalVisionFusion()
resetYawToEv(); resetYawToEv();
} }
if (shouldUse321RotationSequence(_R_to_earth)) { float measured_hdg = shouldUse321RotationSequence(_R_to_earth) ? getEuler321Yaw(_ev_sample_delayed.quat) : getEuler312Yaw(_ev_sample_delayed.quat);
float measured_hdg = getEuler321Yaw(_ev_sample_delayed.quat);
fuseYaw321(measured_hdg, _ev_sample_delayed.angVar);
} else { float innovation = wrap_pi(getEulerYaw(_R_to_earth) - measured_hdg);
float measured_hdg = getEuler312Yaw(_ev_sample_delayed.quat); float obs_var = fmaxf(_ev_sample_delayed.angVar, 1.e-4f);
fuseYaw312(measured_hdg, _ev_sample_delayed.angVar); fuseYaw(innovation, obs_var);
}
} }
// record observation and estimate for use next time // record observation and estimate for use next time

26
src/modules/ekf2/EKF/ekf.h
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@ -412,6 +412,8 @@ private:
uint64_t _time_last_hgt_fuse{0}; ///< time the last fusion of vertical position measurements was performed (uSec) uint64_t _time_last_hgt_fuse{0}; ///< time the last fusion of vertical position measurements was performed (uSec)
uint64_t _time_last_hor_vel_fuse{0}; ///< time the last fusion of horizontal velocity measurements was performed (uSec) uint64_t _time_last_hor_vel_fuse{0}; ///< time the last fusion of horizontal velocity measurements was performed (uSec)
uint64_t _time_last_ver_vel_fuse{0}; ///< time the last fusion of verticalvelocity measurements was performed (uSec) uint64_t _time_last_ver_vel_fuse{0}; ///< time the last fusion of verticalvelocity measurements was performed (uSec)
uint64_t _time_last_heading_fuse{0};
uint64_t _time_last_of_fuse{0}; ///< time the last fusion of optical flow measurements were performed (uSec) uint64_t _time_last_of_fuse{0}; ///< time the last fusion of optical flow measurements were performed (uSec)
uint64_t _time_last_flow_terrain_fuse{0}; ///< time the last fusion of optical flow measurements for terrain estimation were performed (uSec) uint64_t _time_last_flow_terrain_fuse{0}; ///< time the last fusion of optical flow measurements for terrain estimation were performed (uSec)
uint64_t _time_last_beta_fuse{0}; ///< time the last fusion of synthetic sideslip measurements were performed (uSec) uint64_t _time_last_beta_fuse{0}; ///< time the last fusion of synthetic sideslip measurements were performed (uSec)
@ -605,28 +607,10 @@ private:
// ekf sequential fusion of magnetometer measurements // ekf sequential fusion of magnetometer measurements
void fuseMag(const Vector3f &mag); void fuseMag(const Vector3f &mag);
// fuse the first euler angle from either a 321 or 312 rotation sequence as the observation (currently measures yaw using the magnetometer) // update quaternion states and covariances using a yaw innovation and yaw observation variance
void fuseHeading(float measured_hdg = NAN, float obs_var = NAN);
// fuse the yaw angle defined as the first rotation in a 321 Tait-Bryan rotation sequence
// yaw : angle observation defined as the first rotation in a 321 Tait-Bryan rotation sequence (rad)
// yaw_variance : variance of the yaw angle observation (rad^2)
// zero_innovation : Fuse data with innovation set to zero
bool fuseYaw321(const float yaw, const float yaw_variance, bool zero_innovation = false);
// fuse the yaw angle defined as the first rotation in a 312 Tait-Bryan rotation sequence
// yaw : angle observation defined as the first rotation in a 312 Tait-Bryan rotation sequence (rad)
// yaw_variance : variance of the yaw angle observation (rad^2)
// zero_innovation : Fuse data with innovation set to zero
bool fuseYaw312(const float yaw, const float yaw_variance, bool zero_innovation = false);
// update quaternion states and covariances using an innovation, observation variance and Jacobian vector
// innovation : prediction - measurement // innovation : prediction - measurement
// variance : observaton variance // variance : observaton variance
// gate_sigma : innovation consistency check gate size (Sigma) bool fuseYaw(const float innovation, const float variance);
// jacobian : 4x1 vector of partial derivatives of observation wrt each quaternion state
bool updateQuaternion(const float innovation, const float variance, const float gate_sigma,
const Vector4f &yaw_jacobian);
// fuse the yaw angle obtained from a dual antenna GPS unit // fuse the yaw angle obtained from a dual antenna GPS unit
void fuseGpsYaw(); void fuseGpsYaw();
@ -910,6 +894,8 @@ private:
void controlZeroVelocityUpdate(); void controlZeroVelocityUpdate();
void controlZeroInnovationHeadingUpdate();
// control fusion of auxiliary velocity observations // control fusion of auxiliary velocity observations
void controlAuxVelFusion(); void controlAuxVelFusion();

6
src/modules/ekf2/EKF/ekf_helper.cpp
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@ -1262,6 +1262,10 @@ void Ekf::stopMag3DFusion()
// save covariance data for re-use if currently doing 3-axis fusion // save covariance data for re-use if currently doing 3-axis fusion
if (_control_status.flags.mag_3D) { if (_control_status.flags.mag_3D) {
saveMagCovData(); saveMagCovData();
// we are no longer using 3-axis fusion so set the reported test levels to zero
_mag_test_ratio.setZero();
_control_status.flags.mag_3D = false; _control_status.flags.mag_3D = false;
} }
} }
@ -1775,6 +1779,8 @@ void Ekf::resetQuatStateYaw(float yaw, float yaw_variance, bool update_buffer)
} }
_last_static_yaw = NAN;
// capture the reset event // capture the reset event
_state_reset_status.quat_counter++; _state_reset_status.quat_counter++;
} }

8
src/modules/ekf2/EKF/gps_yaw_fusion.cpp
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@ -146,9 +146,6 @@ void Ekf::fuseGpsYaw()
// innovation test ratio // innovation test ratio
_yaw_test_ratio = sq(_heading_innov) / (sq(innov_gate) * _heading_innov_var); _yaw_test_ratio = sq(_heading_innov) / (sq(innov_gate) * _heading_innov_var);
// we are no longer using 3-axis fusion so set the reported test levels to zero
_mag_test_ratio.setZero();
if (_yaw_test_ratio > 1.0f) { if (_yaw_test_ratio > 1.0f) {
_innov_check_fail_status.flags.reject_yaw = true; _innov_check_fail_status.flags.reject_yaw = true;
return; return;
@ -159,8 +156,8 @@ void Ekf::fuseGpsYaw()
_yaw_signed_test_ratio_lpf.update(matrix::sign(_heading_innov) * _yaw_test_ratio); _yaw_signed_test_ratio_lpf.update(matrix::sign(_heading_innov) * _yaw_test_ratio);
if (!_control_status.flags.in_air if ((fabsf(_yaw_signed_test_ratio_lpf.getState()) > 0.2f)
&& fabsf(_yaw_signed_test_ratio_lpf.getState()) > 0.2f) { && !_control_status.flags.in_air && isTimedOut(_time_last_heading_fuse, (uint64_t)1e6)) {
// A constant large signed test ratio is a sign of wrong gyro bias // A constant large signed test ratio is a sign of wrong gyro bias
// Reset the yaw gyro variance to converge faster and avoid // Reset the yaw gyro variance to converge faster and avoid
@ -192,6 +189,7 @@ void Ekf::fuseGpsYaw()
if (is_fused) { if (is_fused) {
_time_last_gps_yaw_fuse = _time_last_imu; _time_last_gps_yaw_fuse = _time_last_imu;
_time_last_heading_fuse = _time_last_imu;
} }
} }

21
src/modules/ekf2/EKF/mag_control.cpp
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@ -78,25 +78,11 @@ void Ekf::controlMagFusion()
_num_bad_flight_yaw_events = 0; _num_bad_flight_yaw_events = 0;
} }
// When operating without a magnetometer and no other source of yaw aiding is active,
// yaw fusion is run selectively to enable yaw gyro bias learning when stationary on
// ground and to prevent uncontrolled yaw variance growth
// Also fuse zero heading innovation during the leveling fine alignment step to keep the yaw variance low
if (_params.mag_fusion_type >= MagFuseType::NONE if (_params.mag_fusion_type >= MagFuseType::NONE
|| _control_status.flags.mag_fault || _control_status.flags.mag_fault
|| !_control_status.flags.tilt_align) { || !_control_status.flags.tilt_align) {
stopMagFusion(); stopMagFusion();
if (noOtherYawAidingThanMag()) {
// TODO: setting _is_yaw_fusion_inhibited to true is required to tell
// fuseHeading to perform a "zero innovation heading fusion"
// We should refactor it to avoid using this flag here
_is_yaw_fusion_inhibited = true;
fuseHeading();
_is_yaw_fusion_inhibited = false;
}
return; return;
} }
@ -347,16 +333,19 @@ void Ekf::runMagAndMagDeclFusions(const Vector3f &mag)
if (_control_status.flags.mag_3D) { if (_control_status.flags.mag_3D) {
run3DMagAndDeclFusions(mag); run3DMagAndDeclFusions(mag);
} else if (_control_status.flags.mag_hdg) { } else if (_control_status.flags.mag_hdg && !_is_yaw_fusion_inhibited) {
// Rotate the measurements into earth frame using the zero yaw angle // Rotate the measurements into earth frame using the zero yaw angle
Dcmf R_to_earth = shouldUse321RotationSequence(_R_to_earth) ? updateEuler321YawInRotMat(0.f, _R_to_earth) : updateEuler312YawInRotMat(0.f, _R_to_earth); Dcmf R_to_earth = shouldUse321RotationSequence(_R_to_earth) ? updateEuler321YawInRotMat(0.f, _R_to_earth) : updateEuler312YawInRotMat(0.f, _R_to_earth);
Vector3f mag_earth_pred = R_to_earth * (mag - _state.mag_B); Vector3f mag_earth_pred = R_to_earth * (mag - _state.mag_B);
// the angle of the projection onto the horizontal gives the yaw angle // the angle of the projection onto the horizontal gives the yaw angle
// calculate the yaw innovation and wrap to the interval between +-pi
float measured_hdg = -atan2f(mag_earth_pred(1), mag_earth_pred(0)) + getMagDeclination(); float measured_hdg = -atan2f(mag_earth_pred(1), mag_earth_pred(0)) + getMagDeclination();
fuseHeading(measured_hdg, sq(_params.mag_heading_noise)); float innovation = wrap_pi(getEulerYaw(_R_to_earth) - measured_hdg);
float obs_var = fmaxf(sq(_params.mag_heading_noise), 1.e-4f);
fuseYaw(innovation, obs_var);
} }
} }

276
src/modules/ekf2/EKF/mag_fusion.cpp
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@ -429,7 +429,8 @@ void Ekf::fuseMag(const Vector3f &mag)
} }
} }
bool Ekf::fuseYaw321(float yaw, float yaw_variance, bool zero_innovation) // update quaternion states and covariances using the yaw innovation and yaw observation variance
bool Ekf::fuseYaw(const float innovation, const float variance)
{ {
// assign intermediate state variables // assign intermediate state variables
const float q0 = _state.quat_nominal(0); const float q0 = _state.quat_nominal(0);
@ -437,170 +438,113 @@ bool Ekf::fuseYaw321(float yaw, float yaw_variance, bool zero_innovation)
const float q2 = _state.quat_nominal(2); const float q2 = _state.quat_nominal(2);
const float q3 = _state.quat_nominal(3); const float q3 = _state.quat_nominal(3);
const float R_YAW = fmaxf(yaw_variance, 1.0e-4f);
const float measurement = wrap_pi(yaw);
// calculate 321 yaw observation matrix
// choose A or B computational paths to avoid singularity in derivation at +-90 degrees yaw // choose A or B computational paths to avoid singularity in derivation at +-90 degrees yaw
bool canUseA = false; bool canUseA = false;
const float SA0 = 2*q3; bool canUseB = false;
const float SA1 = 2*q2;
const float SA2 = SA0*q0 + SA1*q1; float SA0;
const float SA3 = sq(q0) + sq(q1) - sq(q2) - sq(q3); float SA1;
float SA4, SA5_inv; float SA2;
float SA3;
float SA4;
float SA5_inv;
float SB0;
float SB1;
float SB2;
float SB3;
float SB4;
float SB5_inv;
const bool fuse_yaw_321 = shouldUse321RotationSequence(_R_to_earth);
if (fuse_yaw_321) {
// calculate 321 yaw observation matrix
SA0 = 2*q3;
SA1 = 2*q2;
SA2 = SA0*q0 + SA1*q1;
SA3 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
SB0 = 2*q0;
SB1 = 2*q1;
SB2 = SB0*q3 + SB1*q2;
SB4 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
} else {
// calculate 312 yaw observation matrix
SA0 = 2*q3;
SA1 = 2*q2;
SA2 = SA0*q0 - SA1*q1;
SA3 = sq(q0) - sq(q1) + sq(q2) - sq(q3);
SB0 = 2*q0;
SB1 = 2*q1;
SB2 = -SB0*q3 + SB1*q2;
SB4 = -sq(q0) + sq(q1) - sq(q2) + sq(q3);
}
if (sq(SA3) > 1e-6f) { if (sq(SA3) > 1e-6f) {
SA4 = 1.0F/sq(SA3); SA4 = 1.f/sq(SA3);
SA5_inv = sq(SA2)*SA4 + 1; SA5_inv = sq(SA2)*SA4 + 1.f;
canUseA = fabsf(SA5_inv) > 1e-6f; canUseA = fabsf(SA5_inv) > 1e-6f;
} }
bool canUseB = false;
const float SB0 = 2*q0;
const float SB1 = 2*q1;
const float SB2 = SB0*q3 + SB1*q2;
const float SB4 = sq(q0) + sq(q1) - sq(q2) - sq(q3);
float SB3, SB5_inv;
if (sq(SB2) > 1e-6f) { if (sq(SB2) > 1e-6f) {
SB3 = 1.0F/sq(SB2); SB3 = 1.f/sq(SB2);
SB5_inv = SB3*sq(SB4) + 1; SB5_inv = SB3*sq(SB4) + 1.f;
canUseB = fabsf(SB5_inv) > 1e-6f; canUseB = fabsf(SB5_inv) > 1e-6f;
} }
Vector4f H_YAW; Vector4f H_YAW;
if (canUseA && (!canUseB || fabsf(SA5_inv) >= fabsf(SB5_inv))) { if (canUseA && (!canUseB || fabsf(SA5_inv) >= fabsf(SB5_inv))) {
const float SA5 = 1.0F/SA5_inv; const float SA5 = 1.f/SA5_inv;
const float SA6 = 1.0F/SA3; const float SA6 = 1.f/SA3;
const float SA7 = SA2*SA4; const float SA7 = SA2*SA4;
const float SA8 = 2*SA7; const float SA8 = 2*SA7;
const float SA9 = 2*SA6; const float SA9 = 2*SA6;
if (fuse_yaw_321) {
// calculate 321 yaw observation matrix
H_YAW(0) = SA5*(SA0*SA6 - SA8*q0); H_YAW(0) = SA5*(SA0*SA6 - SA8*q0);
H_YAW(1) = SA5*(SA1*SA6 - SA8*q1); H_YAW(1) = SA5*(SA1*SA6 - SA8*q1);
H_YAW(2) = SA5*(SA1*SA7 + SA9*q1); H_YAW(2) = SA5*(SA1*SA7 + SA9*q1);
H_YAW(3) = SA5*(SA0*SA7 + SA9*q0); H_YAW(3) = SA5*(SA0*SA7 + SA9*q0);
} else if (canUseB && (!canUseA || fabsf(SB5_inv) > fabsf(SA5_inv))) {
const float SB5 = 1.0F/SB5_inv;
const float SB6 = 1.0F/SB2;
const float SB7 = SB3*SB4;
const float SB8 = 2*SB7;
const float SB9 = 2*SB6;
H_YAW(0) = -SB5*(SB0*SB6 - SB8*q3);
H_YAW(1) = -SB5*(SB1*SB6 - SB8*q2);
H_YAW(2) = -SB5*(-SB1*SB7 - SB9*q2);
H_YAW(3) = -SB5*(-SB0*SB7 - SB9*q3);
} else {
return false;
}
// calculate the yaw innovation and wrap to the interval between +-pi
float innovation;
if (zero_innovation) {
innovation = 0.0f;
} else { } else {
innovation = wrap_pi(atan2f(_R_to_earth(1, 0), _R_to_earth(0, 0)) - measurement);
}
// define the innovation gate size
float innov_gate = math::max(_params.heading_innov_gate, 1.0f);
// Update the quaternion states and covariance matrix
return updateQuaternion(innovation, R_YAW, innov_gate, H_YAW);
}
bool Ekf::fuseYaw312(float yaw, float yaw_variance, bool zero_innovation)
{
// assign intermediate state variables
const float q0 = _state.quat_nominal(0);
const float q1 = _state.quat_nominal(1);
const float q2 = _state.quat_nominal(2);
const float q3 = _state.quat_nominal(3);
const float R_YAW = fmaxf(yaw_variance, 1.0e-4f);
const float measurement = wrap_pi(yaw);
// calculate 312 yaw observation matrix // calculate 312 yaw observation matrix
// choose A or B computational paths to avoid singularity in derivation at +-90 degrees yaw
bool canUseA = false;
const float SA0 = 2*q3;
const float SA1 = 2*q2;
const float SA2 = SA0*q0 - SA1*q1;
const float SA3 = sq(q0) - sq(q1) + sq(q2) - sq(q3);
float SA4, SA5_inv;
if (sq(SA3) > 1e-6f) {
SA4 = 1.0F/sq(SA3);
SA5_inv = sq(SA2)*SA4 + 1;
canUseA = fabsf(SA5_inv) > 1e-6f;
}
bool canUseB = false;
const float SB0 = 2*q0;
const float SB1 = 2*q1;
const float SB2 = -SB0*q3 + SB1*q2;
const float SB4 = -sq(q0) + sq(q1) - sq(q2) + sq(q3);
float SB3, SB5_inv;
if (sq(SB2) > 1e-6f) {
SB3 = 1.0F/sq(SB2);
SB5_inv = SB3*sq(SB4) + 1;
canUseB = fabsf(SB5_inv) > 1e-6f;
}
Vector4f H_YAW;
if (canUseA && (!canUseB || fabsf(SA5_inv) >= fabsf(SB5_inv))) {
const float SA5 = 1.0F/SA5_inv;
const float SA6 = 1.0F/SA3;
const float SA7 = SA2*SA4;
const float SA8 = 2*SA7;
const float SA9 = 2*SA6;
H_YAW(0) = SA5*(SA0*SA6 - SA8*q0); H_YAW(0) = SA5*(SA0*SA6 - SA8*q0);
H_YAW(1) = SA5*(-SA1*SA6 + SA8*q1); H_YAW(1) = SA5*(-SA1*SA6 + SA8*q1);
H_YAW(2) = SA5*(-SA1*SA7 - SA9*q1); H_YAW(2) = SA5*(-SA1*SA7 - SA9*q1);
H_YAW(3) = SA5*(SA0*SA7 + SA9*q0); H_YAW(3) = SA5*(SA0*SA7 + SA9*q0);
}
} else if (canUseB && (!canUseA || fabsf(SB5_inv) > fabsf(SA5_inv))) { } else if (canUseB && (!canUseA || fabsf(SB5_inv) > fabsf(SA5_inv))) {
const float SB5 = 1.0F/SB5_inv; const float SB5 = 1.f/SB5_inv;
const float SB6 = 1.0F/SB2; const float SB6 = 1.f/SB2;
const float SB7 = SB3*SB4; const float SB7 = SB3*SB4;
const float SB8 = 2*SB7; const float SB8 = 2*SB7;
const float SB9 = 2*SB6; const float SB9 = 2*SB6;
if (fuse_yaw_321) {
// calculate 321 yaw observation matrix
H_YAW(0) = -SB5*(SB0*SB6 - SB8*q3);
H_YAW(1) = -SB5*(SB1*SB6 - SB8*q2);
H_YAW(2) = -SB5*(-SB1*SB7 - SB9*q2);
H_YAW(3) = -SB5*(-SB0*SB7 - SB9*q3);
} else {
// calculate 312 yaw observation matrix
H_YAW(0) = -SB5*(-SB0*SB6 + SB8*q3); H_YAW(0) = -SB5*(-SB0*SB6 + SB8*q3);
H_YAW(1) = -SB5*(SB1*SB6 - SB8*q2); H_YAW(1) = -SB5*(SB1*SB6 - SB8*q2);
H_YAW(2) = -SB5*(-SB1*SB7 - SB9*q2); H_YAW(2) = -SB5*(-SB1*SB7 - SB9*q2);
H_YAW(3) = -SB5*(SB0*SB7 + SB9*q3); H_YAW(3) = -SB5*(SB0*SB7 + SB9*q3);
}
} else { } else {
return false; return false;
} }
float innovation;
if (zero_innovation) {
innovation = 0.0f;
} else {
// calculate the the innovation and wrap to the interval between +-pi
innovation = wrap_pi(atan2f(-_R_to_earth(0, 1), _R_to_earth(1, 1)) - measurement);
}
// define the innovation gate size
float innov_gate = math::max(_params.heading_innov_gate, 1.0f);
// Update the quaternion states and covariance matrix
return updateQuaternion(innovation, R_YAW, innov_gate, H_YAW);
}
// update quaternion states and covariances using the yaw innovation, yaw observation variance and yaw Jacobian
bool Ekf::updateQuaternion(const float innovation, const float variance, const float gate_sigma,
const Vector4f &yaw_jacobian)
{
// Calculate innovation variance and Kalman gains, taking advantage of the fact that only the first 4 elements in H are non zero // Calculate innovation variance and Kalman gains, taking advantage of the fact that only the first 4 elements in H are non zero
// calculate the innovation variance // calculate the innovation variance
_heading_innov_var = variance; _heading_innov_var = variance;
@ -609,10 +553,10 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
float tmp = 0.0f; float tmp = 0.0f;
for (uint8_t col = 0; col <= 3; col++) { for (uint8_t col = 0; col <= 3; col++) {
tmp += P(row, col) * yaw_jacobian(col); tmp += P(row, col) * H_YAW(col);
} }
_heading_innov_var += yaw_jacobian(row) * tmp; _heading_innov_var += H_YAW(row) * tmp;
} }
float heading_innov_var_inv; float heading_innov_var_inv;
@ -629,7 +573,7 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
// we reinitialise the covariance matrix and abort this fusion step // we reinitialise the covariance matrix and abort this fusion step
initialiseCovariance(); initialiseCovariance();
ECL_ERR("mag yaw fusion numerical error - covariance reset"); ECL_ERR("yaw fusion numerical error - covariance reset");
return false; return false;
} }
@ -639,7 +583,7 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
for (uint8_t row = 0; row <= 15; row++) { for (uint8_t row = 0; row <= 15; row++) {
for (uint8_t col = 0; col <= 3; col++) { for (uint8_t col = 0; col <= 3; col++) {
Kfusion(row) += P(row, col) * yaw_jacobian(col); Kfusion(row) += P(row, col) * H_YAW(col);
} }
Kfusion(row) *= heading_innov_var_inv; Kfusion(row) *= heading_innov_var_inv;
@ -648,19 +592,19 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
if (_control_status.flags.wind) { if (_control_status.flags.wind) {
for (uint8_t row = 22; row <= 23; row++) { for (uint8_t row = 22; row <= 23; row++) {
for (uint8_t col = 0; col <= 3; col++) { for (uint8_t col = 0; col <= 3; col++) {
Kfusion(row) += P(row, col) * yaw_jacobian(col); Kfusion(row) += P(row, col) * H_YAW(col);
} }
Kfusion(row) *= heading_innov_var_inv; Kfusion(row) *= heading_innov_var_inv;
} }
} }
// define the innovation gate size
float gate_sigma = math::max(_params.heading_innov_gate, 1.f);
// innovation test ratio // innovation test ratio
_yaw_test_ratio = sq(innovation) / (sq(gate_sigma) * _heading_innov_var); _yaw_test_ratio = sq(innovation) / (sq(gate_sigma) * _heading_innov_var);
// we are no longer using 3-axis fusion so set the reported test levels to zero
_mag_test_ratio.setZero();
// set the magnetometer unhealthy if the test fails // set the magnetometer unhealthy if the test fails
if (_yaw_test_ratio > 1.0f) { if (_yaw_test_ratio > 1.0f) {
_innov_check_fail_status.flags.reject_yaw = true; _innov_check_fail_status.flags.reject_yaw = true;
@ -668,7 +612,10 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
// if we are in air we don't want to fuse the measurement // if we are in air we don't want to fuse the measurement
// we allow to use it when on the ground because the large innovation could be caused // we allow to use it when on the ground because the large innovation could be caused
// by interference or a large initial gyro bias // by interference or a large initial gyro bias
if (!_control_status.flags.in_air && isTimedOut(_time_last_in_air, (uint64_t)5e6)) { if (!_control_status.flags.in_air
&& isTimedOut(_time_last_in_air, (uint64_t)5e6)
&& isTimedOut(_time_last_heading_fuse, (uint64_t)1e6)
) {
// constrain the innovation to the maximum set by the gate // constrain the innovation to the maximum set by the gate
// we need to delay this forced fusion to avoid starting it // we need to delay this forced fusion to avoid starting it
// immediately after touchdown, when the drone is still armed // immediately after touchdown, when the drone is still armed
@ -696,10 +643,10 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
for (unsigned row = 0; row < _k_num_states; row++) { for (unsigned row = 0; row < _k_num_states; row++) {
KH[0] = Kfusion(row) * yaw_jacobian(0); KH[0] = Kfusion(row) * H_YAW(0);
KH[1] = Kfusion(row) * yaw_jacobian(1); KH[1] = Kfusion(row) * H_YAW(1);
KH[2] = Kfusion(row) * yaw_jacobian(2); KH[2] = Kfusion(row) * H_YAW(2);
KH[3] = Kfusion(row) * yaw_jacobian(3); KH[3] = Kfusion(row) * H_YAW(3);
for (unsigned column = 0; column < _k_num_states; column++) { for (unsigned column = 0; column < _k_num_states; column++) {
float tmp = KH[0] * P(0, column); float tmp = KH[0] * P(0, column);
@ -723,67 +670,14 @@ bool Ekf::updateQuaternion(const float innovation, const float variance, const f
// apply the state corrections // apply the state corrections
fuse(Kfusion, _heading_innov); fuse(Kfusion, _heading_innov);
_time_last_heading_fuse = _time_last_imu;
return true; return true;
} }
return false; return false;
} }
void Ekf::fuseHeading(float measured_hdg, float obs_var)
{
// observation variance
float R_YAW = PX4_ISFINITE(obs_var) ? obs_var : 0.01f;
// update transformation matrix from body to world frame using the current state estimate
const float predicted_hdg = getEulerYaw(_R_to_earth);
if (!PX4_ISFINITE(measured_hdg)) {
measured_hdg = predicted_hdg;
}
// handle special case where yaw measurement is unavailable
bool fuse_zero_innov = false;
if (_is_yaw_fusion_inhibited) {
// The yaw measurement cannot be trusted but we need to fuse something to prevent a badly
// conditioned covariance matrix developing over time.
if (!_control_status.flags.vehicle_at_rest) {
// Vehicle is not at rest so fuse a zero innovation if necessary to prevent
// unconstrained quaternion variance growth and record the predicted heading
// to use as an observation when movement ceases.
// TODO a better way of determining when this is necessary
const float sumQuatVar = P(0, 0) + P(1, 1) + P(2, 2) + P(3, 3);
if (sumQuatVar > _params.quat_max_variance) {
fuse_zero_innov = true;
R_YAW = 0.25f;
}
_last_static_yaw = predicted_hdg;
} else {
// Vehicle is at rest so use the last moving prediction as an observation
// to prevent the heading from drifting and to enable yaw gyro bias learning
// before takeoff.
if (!PX4_ISFINITE(_last_static_yaw)) {
_last_static_yaw = predicted_hdg;
}
measured_hdg = _last_static_yaw;
}
} else {
_last_static_yaw = predicted_hdg;
}
if (shouldUse321RotationSequence(_R_to_earth)) {
fuseYaw321(measured_hdg, R_YAW, fuse_zero_innov);
} else {
fuseYaw312(measured_hdg, R_YAW, fuse_zero_innov);
}
}
void Ekf::fuseDeclination(float decl_sigma) void Ekf::fuseDeclination(float decl_sigma)
{ {
// assign intermediate state variables // assign intermediate state variables

84
src/modules/ekf2/EKF/zero_innovation_heading_update.cpp Normal file
View File

@ -0,0 +1,84 @@
/****************************************************************************
*
* Copyright (c) 2022 PX4 Development Team. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* 3. Neither the name PX4 nor the names of its contributors may be
* used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
* OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
* AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
****************************************************************************/
/**
* @file zero_innovation_heading_update.cpp
* Control function for ekf heading update when at rest or no other heading source available
*/
#include "ekf.h"
void Ekf::controlZeroInnovationHeadingUpdate()
{
const bool yaw_aiding = _control_status.flags.mag_hdg || _control_status.flags.mag_3D
|| _control_status.flags.ev_yaw || _control_status.flags.gps_yaw;
if (!_control_status.flags.tilt_align) {
// fuse zero heading innovation during the leveling fine alignment step to keep the yaw variance low
float innovation = 0.f;
float obs_var = _control_status.flags.vehicle_at_rest ? 0.001f : 0.1f;
fuseYaw(innovation, obs_var);
_last_static_yaw = NAN;
} else if (_control_status.flags.vehicle_at_rest) {
// When at rest or no source of yaw aiding is active yaw fusion is run selectively to enable yaw gyro
// bias learning when stationary on ground and to prevent uncontrolled yaw variance growth
const float euler_yaw = getEulerYaw(_R_to_earth);
if (PX4_ISFINITE(_last_static_yaw)) {
// fuse last static yaw at a limited rate (every 200 milliseconds)
if (!yaw_aiding && isTimedOut(_time_last_heading_fuse, (uint64_t)200'000)) {
float innovation = wrap_pi(euler_yaw - _last_static_yaw);
float obs_var = 0.01f;
fuseYaw(innovation, obs_var);
}
} else {
// record static yaw when transitioning to at rest
_last_static_yaw = euler_yaw;
}
} else {
// vehicle moving and tilt alignment completed
// fuse zero innovation at a limited rate (every 200 milliseconds)
if (!yaw_aiding && isTimedOut(_time_last_heading_fuse, (uint64_t)200'000)) {
float innovation = 0.f;
float obs_var = 0.01f;
fuseYaw(innovation, obs_var);
}
_last_static_yaw = NAN;
}
}

776
src/modules/ekf2/test/change_indication/ekf_gsf_reset.csv
View File

@ -1,391 +1,391 @@
Timestamp,state[0],state[1],state[2],state[3],state[4],state[5],state[6],state[7],state[8],state[9],state[10],state[11],state[12],state[13],state[14],state[15],state[16],state[17],state[18],state[19],state[20],state[21],state[22],state[23],variance[0],variance[1],variance[2],variance[3],variance[4],variance[5],variance[6],variance[7],variance[8],variance[9],variance[10],variance[11],variance[12],variance[13],variance[14],variance[15],variance[16],variance[17],variance[18],variance[19],variance[20],variance[21],variance[22],variance[23] Timestamp,state[0],state[1],state[2],state[3],state[4],state[5],state[6],state[7],state[8],state[9],state[10],state[11],state[12],state[13],state[14],state[15],state[16],state[17],state[18],state[19],state[20],state[21],state[22],state[23],variance[0],variance[1],variance[2],variance[3],variance[4],variance[5],variance[6],variance[7],variance[8],variance[9],variance[10],variance[11],variance[12],variance[13],variance[14],variance[15],variance[16],variance[17],variance[18],variance[19],variance[20],variance[21],variance[22],variance[23]
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19090000,0.707,5.79e-05,-0.0122,0.708,0.0142,0.0023,0.00391,0.00751,-0.000386,-365,-1.37e-05,-6.05e-05,5.79e-06,-2.87e-05,6.44e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000137,0.000117,0.000117,0.000131,0.0319,0.0319,0.0123,0.0506,0.0506,0.0442,3.98e-10,3.98e-10,7.17e-10,3.11e-06,3.11e-06,6.37e-08,0,0,0,0,0,0,0,0 19090000,0.706,5.96e-05,-0.0122,0.708,0.0142,0.0023,0.00391,0.0075,-0.000386,-365,-1.37e-05,-6.05e-05,5.26e-06,-2.86e-05,6.42e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,8.09e-05,0.000117,0.000117,7.86e-05,0.0319,0.0319,0.0123,0.0506,0.0506,0.0442,3.98e-10,3.98e-10,6.48e-10,3.11e-06,3.11e-06,6.37e-08,0,0,0,0,0,0,0,0
19190000,0.707,5.9e-05,-0.0121,0.708,0.0143,0.00228,0.00399,0.00838,-0.000362,-365,-1.37e-05,-6.05e-05,5.94e-06,-2.9e-05,6.41e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000137,0.000114,0.000114,0.000131,0.0283,0.0283,0.0119,0.0446,0.0446,0.0435,3.62e-10,3.62e-10,7.01e-10,3.1e-06,3.1e-06,6.09e-08,0,0,0,0,0,0,0,0 19190000,0.706,6.06e-05,-0.0121,0.708,0.0143,0.00228,0.00399,0.00838,-0.000362,-365,-1.37e-05,-6.05e-05,5.4e-06,-2.9e-05,6.39e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,8.06e-05,0.000114,0.000114,7.83e-05,0.0283,0.0283,0.0119,0.0446,0.0446,0.0435,3.62e-10,3.62e-10,6.35e-10,3.1e-06,3.1e-06,6.09e-08,0,0,0,0,0,0,0,0
19290000,0.707,8.2e-05,-0.0121,0.708,0.0146,0.00154,0.00673,0.00979,-0.000153,-365,-1.37e-05,-6.05e-05,5.73e-06,-2.9e-05,6.41e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000136,0.000115,0.000115,0.000131,0.0311,0.0311,0.0117,0.0504,0.0504,0.0433,3.62e-10,3.62e-10,6.85e-10,3.1e-06,3.1e-06,5.91e-08,0,0,0,0,0,0,0,0 19290000,0.706,8.37e-05,-0.0121,0.708,0.0146,0.00154,0.00673,0.00978,-0.000153,-365,-1.37e-05,-6.05e-05,5.23e-06,-2.9e-05,6.39e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,8.03e-05,0.000115,0.000115,7.81e-05,0.0311,0.0311,0.0117,0.0504,0.0504,0.0433,3.62e-10,3.62e-10,6.22e-10,3.1e-06,3.1e-06,5.91e-08,0,0,0,0,0,0,0,0
19390000,0.707,9.08e-05,-0.012,0.708,0.0122,0.000596,0.0106,0.00784,-0.000191,-365,-1.39e-05,-6.06e-05,5.88e-06,-2.92e-05,6.7e-05,-0.00131,0.209,0.00206,0.432,0,0,0,0,0,0.000136,0.000111,0.000111,0.000131,0.0276,0.0276,0.0115,0.0445,0.0445,0.0431,3.3e-10,3.3e-10,6.72e-10,3.09e-06,3.09e-06,5.69e-08,0,0,0,0,0,0,0,0 19390000,0.706,9.24e-05,-0.012,0.708,0.0122,0.000596,0.0106,0.00784,-0.000191,-365,-1.39e-05,-6.05e-05,5.37e-06,-2.91e-05,6.68e-05,-0.00131,0.209,0.00206,0.432,0,0,0,0,0,8.02e-05,0.000111,0.000111,7.8e-05,0.0276,0.0276,0.0115,0.0445,0.0445,0.0431,3.3e-10,3.3e-10,6.11e-10,3.09e-06,3.09e-06,5.69e-08,0,0,0,0,0,0,0,0
19490000,0.707,0.000114,-0.012,0.707,0.0112,-0.000104,0.00696,0.00899,-0.00017,-365,-1.39e-05,-6.06e-05,6.17e-06,-2.92e-05,6.7e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000136,0.000113,0.000112,0.00013,0.0303,0.0303,0.0113,0.0502,0.0502,0.043,3.3e-10,3.3e-10,6.57e-10,3.09e-06,3.09e-06,5.53e-08,0,0,0,0,0,0,0,0 19490000,0.707,0.000115,-0.012,0.708,0.0112,-0.000103,0.00696,0.00898,-0.000169,-365,-1.39e-05,-6.05e-05,5.65e-06,-2.92e-05,6.68e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,8e-05,0.000113,0.000112,7.77e-05,0.0303,0.0303,0.0113,0.0502,0.0502,0.043,3.3e-10,3.3e-10,5.99e-10,3.09e-06,3.09e-06,5.53e-08,0,0,0,0,0,0,0,0
19590000,0.707,0.00016,-0.0119,0.707,0.00929,-0.00115,0.00631,0.00726,-0.000211,-365,-1.4e-05,-6.06e-05,6.55e-06,-2.92e-05,6.94e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000135,0.00011,0.000109,0.00013,0.0269,0.0269,0.011,0.0444,0.0444,0.0423,3.01e-10,3.01e-10,6.43e-10,3.08e-06,3.08e-06,5.31e-08,0,0,0,0,0,0,0,0 19590000,0.707,0.000161,-0.0119,0.707,0.00928,-0.00115,0.00631,0.00726,-0.00021,-365,-1.4e-05,-6.06e-05,6.01e-06,-2.92e-05,6.92e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.97e-05,0.000109,0.000109,7.74e-05,0.0269,0.0269,0.011,0.0444,0.0444,0.0423,3.01e-10,3.01e-10,5.87e-10,3.08e-06,3.08e-06,5.31e-08,0,0,0,0,0,0,0,0
19690000,0.707,0.00016,-0.012,0.707,0.00964,-0.00333,0.00785,0.00821,-0.00044,-365,-1.4e-05,-6.06e-05,6.32e-06,-2.92e-05,6.94e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000135,0.000111,0.00011,0.00013,0.0295,0.0295,0.0109,0.05,0.05,0.0422,3.01e-10,3.01e-10,6.29e-10,3.08e-06,3.08e-06,5.16e-08,0,0,0,0,0,0,0,0 19690000,0.707,0.000162,-0.012,0.707,0.00964,-0.00333,0.00785,0.00821,-0.00044,-365,-1.4e-05,-6.06e-05,5.8e-06,-2.92e-05,6.92e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.95e-05,0.00011,0.00011,7.72e-05,0.0295,0.0295,0.0109,0.05,0.05,0.0422,3.01e-10,3.01e-10,5.75e-10,3.08e-06,3.08e-06,5.16e-08,0,0,0,0,0,0,0,0
19790000,0.707,0.000225,-0.0119,0.707,0.00735,-0.00418,0.00835,0.00665,-0.000354,-365,-1.41e-05,-6.05e-05,6.33e-06,-2.87e-05,7.14e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000135,0.000108,0.000108,0.000129,0.0263,0.0263,0.0106,0.0442,0.0442,0.042,2.75e-10,2.75e-10,6.17e-10,3.07e-06,3.08e-06,5e-08,0,0,0,0,0,0,0,0 19790000,0.707,0.000226,-0.0119,0.707,0.00734,-0.00418,0.00835,0.00664,-0.000354,-365,-1.41e-05,-6.05e-05,5.82e-06,-2.87e-05,7.11e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.93e-05,0.000108,0.000108,7.71e-05,0.0263,0.0263,0.0106,0.0442,0.0442,0.042,2.75e-10,2.75e-10,5.65e-10,3.07e-06,3.08e-06,5e-08,0,0,0,0,0,0,0,0
19890000,0.707,0.000172,-0.0119,0.707,0.0061,-0.00445,0.00953,0.00733,-0.0008,-365,-1.41e-05,-6.05e-05,6.74e-06,-2.87e-05,7.13e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000135,0.000109,0.000109,0.000129,0.0288,0.0288,0.0105,0.0498,0.0498,0.0419,2.75e-10,2.76e-10,6.04e-10,3.07e-06,3.08e-06,5e-08,0,0,0,0,0,0,0,0 19890000,0.707,0.000174,-0.0119,0.707,0.00609,-0.00445,0.00953,0.00732,-0.0008,-365,-1.41e-05,-6.05e-05,6.21e-06,-2.87e-05,7.11e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.91e-05,0.000109,0.000108,7.68e-05,0.0288,0.0288,0.0105,0.0498,0.0498,0.0419,2.75e-10,2.76e-10,5.54e-10,3.07e-06,3.08e-06,5e-08,0,0,0,0,0,0,0,0
19990000,0.707,0.000155,-0.0119,0.707,0.00368,-0.00516,0.0123,0.00596,-0.000671,-365,-1.42e-05,-6.05e-05,7.3e-06,-2.81e-05,7.26e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000134,0.000106,0.000106,0.000129,0.0256,0.0256,0.0102,0.0441,0.0441,0.0412,2.52e-10,2.52e-10,5.91e-10,3.07e-06,3.07e-06,5e-08,0,0,0,0,0,0,0,0 19990000,0.707,0.000157,-0.0119,0.707,0.00367,-0.00516,0.0123,0.00596,-0.000671,-365,-1.42e-05,-6.05e-05,6.73e-06,-2.8e-05,7.24e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.88e-05,0.000106,0.000106,7.66e-05,0.0256,0.0256,0.0102,0.0441,0.0441,0.0412,2.52e-10,2.52e-10,5.44e-10,3.07e-06,3.07e-06,5e-08,0,0,0,0,0,0,0,0
20090000,0.707,0.00015,-0.0119,0.707,0.00344,-0.0071,0.0126,0.00632,-0.00127,-365,-1.42e-05,-6.05e-05,7.76e-06,-2.81e-05,7.26e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000134,0.000107,0.000107,0.000129,0.028,0.028,0.0102,0.0495,0.0495,0.0415,2.52e-10,2.52e-10,5.8e-10,3.07e-06,3.07e-06,5e-08,0,0,0,0,0,0,0,0 20090000,0.707,0.000151,-0.0119,0.707,0.00344,-0.0071,0.0126,0.00631,-0.00127,-365,-1.42e-05,-6.05e-05,7.17e-06,-2.8e-05,7.23e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.87e-05,0.000107,0.000107,7.65e-05,0.028,0.028,0.0102,0.0495,0.0495,0.0415,2.52e-10,2.52e-10,5.34e-10,3.07e-06,3.07e-06,5e-08,0,0,0,0,0,0,0,0
20190000,0.707,0.00025,-0.0118,0.707,0.00114,-0.00779,0.0149,0.00406,-0.000998,-365,-1.43e-05,-6.05e-05,7.95e-06,-2.7e-05,7.47e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000134,0.000104,0.000104,0.000128,0.025,0.025,0.00991,0.0439,0.0439,0.0409,2.31e-10,2.32e-10,5.68e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0 20190000,0.707,0.000252,-0.0118,0.707,0.00113,-0.00779,0.0149,0.00405,-0.000998,-365,-1.43e-05,-6.04e-05,7.36e-06,-2.69e-05,7.44e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.85e-05,0.000104,0.000104,7.62e-05,0.025,0.025,0.00991,0.0439,0.0439,0.0409,2.31e-10,2.32e-10,5.24e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0
20290000,0.707,0.000211,-0.0118,0.707,-1.2e-05,-0.00937,0.0129,0.00411,-0.00185,-365,-1.43e-05,-6.05e-05,8.08e-06,-2.71e-05,7.47e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000133,0.000105,0.000105,0.000128,0.0273,0.0273,0.00982,0.0493,0.0493,0.0408,2.32e-10,2.32e-10,5.56e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0 20290000,0.707,0.000212,-0.0118,0.707,-1.88e-05,-0.00937,0.0129,0.0041,-0.00185,-365,-1.43e-05,-6.05e-05,7.49e-06,-2.7e-05,7.44e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.82e-05,0.000105,0.000105,7.6e-05,0.0273,0.0273,0.00982,0.0493,0.0493,0.0408,2.32e-10,2.32e-10,5.14e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0
20390000,0.707,0.000227,-0.0119,0.707,-0.00244,-0.00995,0.015,0.00225,-0.00145,-365,-1.44e-05,-6.04e-05,8.06e-06,-2.57e-05,7.62e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,0.000133,0.000103,0.000103,0.000128,0.0244,0.0244,0.00963,0.0437,0.0437,0.0406,2.13e-10,2.13e-10,5.46e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0 20390000,0.707,0.000228,-0.0119,0.707,-0.00245,-0.00995,0.015,0.00225,-0.00145,-365,-1.44e-05,-6.04e-05,7.48e-06,-2.56e-05,7.59e-05,-0.0013,0.209,0.00206,0.432,0,0,0,0,0,7.81e-05,0.000103,0.000103,7.59e-05,0.0244,0.0244,0.00963,0.0437,0.0437,0.0406,2.13e-10,2.13e-10,5.05e-10,3.06e-06,3.06e-06,5e-08,0,0,0,0,0,0,0,0
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1 Timestamp state[0] state[1] state[2] state[3] state[4] state[5] state[6] state[7] state[8] state[9] state[10] state[11] state[12] state[13] state[14] state[15] state[16] state[17] state[18] state[19] state[20] state[21] state[22] state[23] variance[0] variance[1] variance[2] variance[3] variance[4] variance[5] variance[6] variance[7] variance[8] variance[9] variance[10] variance[11] variance[12] variance[13] variance[14] variance[15] variance[16] variance[17] variance[18] variance[19] variance[20] variance[21] variance[22] variance[23]
2 10000 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 90000 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 190000 1 -0.0105 -0.0107 -0.0167 -0.000387 -0.000237 -0.00902 -2.26e-05 -1e-05 -0.000287 0 0 0 0 0 0 0.192 0.00189 0.404 0 0 0 0 0 1.5e-06 1.19e-06 0.00251 0.00251 0.00338 0.00228 25 25 0.563 100 100 0.8 1e-06 1e-06 1e-06 9.99e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
5 290000 1 -0.0106 -0.011 -0.0167 0.0006 0.000288 -0.0229 -2.94e-05 -3.64e-05 -0.00185 0 0 0 0 0 0 0.192 0.00189 0.404 0 0 0 0 0 1.21e-06 9.22e-07 0.00256 0.00256 0.00222 0.00121 25 25 0.562 101 101 0.337 1e-06 1e-06 9.97e-07 9.94e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
6 390000 1 -0.0106 -0.0113 -0.0167 0.00209 0.000238 -0.0375 6.41e-05 2.46e-05 -0.00489 -1.63e-13 -6.23e-13 -3.16e-15 -1.29e-15 3.41e-12 -8.91e-13 -9.32e-14 0.192 0.00189 0.404 0 0 0 0 0 1.1e-06 8.63e-07 0.00267 0.00267 0.00169 0.000859 24.8 24.8 0.557 0.29 0.29 0.209 1e-06 1e-06 9.88e-07 9.78e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
7 490000 1 -0.0107 -0.0117 -0.0167 0.00463 -0.000559 -0.0529 0.000405 -6.64e-06 -0.00941 -1.63e-13 -6.23e-13 -3.16e-15 -1.29e-15 3.41e-12 -8.91e-13 -9.32e-14 0.192 0.00189 0.404 0 0 0 0 0 1.08e-06 8.83e-07 0.00282 0.00282 0.00141 0.000703 24.9 24.9 0.544 0.739 0.739 0.159 1e-06 1e-06 9.73e-07 9.49e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
8 590000 1 -0.0107 -0.012 -0.0167 0.00418 7.22e-05 -0.0661 0.000239 -5.36e-06 -0.0153 -2.19e-11 -2.17e-11 -5.29e-09 -4.94e-11 -3.84e-11 1.28e-08 -5.1e-11 -2.89e-10 0.192 0.00189 0.404 0 0 0 0 0 1.11e-06 9.32e-07 0.00302 0.00302 0.00125 0.00063 7.8 7.8 0.527 0.267 0.267 0.141 1e-06 1e-06 9.49e-07 9.04e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
9 690000 1 -0.0108 -0.0123 -0.0167 0.00685 -0.000979 -0.0813 0.000761 -7.95e-05 -0.0227 -2.19e-11 -2.17e-11 -5.29e-09 -4.94e-11 -3.84e-11 1.28e-08 -5.1e-11 -2.89e-10 0.192 0.00189 0.404 0 0 0 0 0 1.17e-06 1.02e-06 0.00328 0.00328 0.00116 0.000598 7.87 7.87 0.497 0.556 0.556 0.13 1e-06 1e-06 9.16e-07 8.45e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
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16 1390000 1 -0.0114 -0.0142 -0.0166 0.0275 -0.00825 -0.181 0.00597 -0.00168 -0.115 -1.25e-07 -6.6e-07 -2.4e-09 -3.15e-10 4.68e-07 -8.34e-08 -1.35e-08 0.192 0.00189 0.404 0 0 0 0 0 2.31e-06 2.16e-06 0.00618 0.00619 0.00108 0.000561 1.26 1.26 0.509 0.301 0.301 0.487 9.88e-07 9.87e-07 9.88e-07 5.41e-07 3.5e-07 3.99e-06 3.99e-06 3.99e-06 0 0 0 0 0 0 0 0
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18 1590000 1 -0.0114 -0.0146 -0.0166 0.0346 -0.00911 -0.209 0.00815 -0.00227 -0.155 -4.58e-07 -2.01e-06 -2.38e-09 4.15e-09 1.16e-06 -2.53e-07 -3.54e-08 0.192 0.00189 0.404 0 0 0 0 0 2.7e-06 2.54e-06 0.00702 0.00702 0.00107 0.000532 1.3 1.3 0.53 0.268 0.268 0.689 9.62e-07 9.61e-07 9.62e-07 4.38e-07 2.6e-07 3.99e-06 3.99e-06 3.99e-06 0 0 0 0 0 0 0 0
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187 18490000 0.706 6.76e-05 6.94e-05 -0.0124 0.708 0.0138 0.000479 0.00517 0.00438 -0.00127 -365 -1.34e-05 -6.05e-05 5.15e-06 4.62e-06 -2.88e-05 5.98e-05 5.97e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000139 8.22e-05 0.000125 0.000125 0.000133 7.99e-05 0.0344 0.0344 0.0139 0.0511 0.0511 0.0458 5.32e-10 5.32e-10 8.19e-10 7.3e-10 3.14e-06 3.14e-06 8.03e-08 0 0 0 0 0 0 0 0
188 18590000 0.706 6.82e-05 6.99e-05 -0.0123 0.708 0.0129 0.000693 0.000694 0.00344 0.00332 -0.00109 -365 -1.36e-05 -6.05e-05 5.56e-06 5e-06 -2.87e-05 6.27e-05 6.25e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000139 8.19e-05 0.000121 0.000121 0.000133 7.96e-05 0.0304 0.0304 0.0134 0.045 0.045 0.045 4.82e-10 4.83e-10 4.82e-10 8e-10 7.15e-10 3.13e-06 3.13e-06 7.64e-08 0 0 0 0 0 0 0 0
189 18690000 0.706 3.76e-05 3.93e-05 -0.0123 0.708 0.0132 1.33e-05 1.41e-05 0.0016 0.00462 -0.00103 -365 -1.36e-05 -6.05e-05 5.42e-06 4.88e-06 -2.87e-05 6.27e-05 6.25e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000138 8.16e-05 0.000122 0.000122 0.000132 7.93e-05 0.0335 0.0335 0.0133 0.0509 0.0509 0.0449 4.82e-10 4.83e-10 7.82e-10 7e-10 3.13e-06 3.13e-06 7.39e-08 0 0 0 0 0 0 0 0
190 18790000 0.706 6.4e-05 6.57e-05 -0.0123 0.708 0.0117 0.000296 0.00138 0.00353 -0.00082 -365 -1.38e-05 -6.05e-05 5.27e-06 4.76e-06 -2.86e-05 -2.85e-05 6.53e-05 6.52e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000138 8.15e-05 0.000118 0.000118 0.000132 7.92e-05 0.0297 0.0297 0.0129 0.0449 0.0449 0.0447 4.38e-10 4.38e-10 7.66e-10 6.88e-10 3.12e-06 3.12e-06 7.08e-08 0 0 0 0 0 0 0 0
191 18890000 0.706 8.76e-05 8.93e-05 -0.0123 0.708 0.0123 0.000806 0.000807 0.00204 0.00473 -0.000731 -365 -1.37e-05 -1.38e-05 -6.05e-05 5.66e-06 5.13e-06 -2.86e-05 -2.85e-05 6.53e-05 6.51e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000138 8.13e-05 0.00012 0.00012 0.000132 7.9e-05 0.0327 0.0327 0.0128 0.0508 0.0508 0.0446 4.38e-10 4.38e-10 7.48e-10 6.73e-10 3.12e-06 3.12e-06 6.85e-08 0 0 0 0 0 0 0 0
192 18990000 0.707 0.706 7.3e-05 7.47e-05 -0.0123 0.708 0.0136 0.00169 0.000837 0.00613 0.00612 -0.000613 -365 -1.37e-05 -6.05e-05 5.82e-06 5.28e-06 -2.87e-05 -2.86e-05 6.44e-05 6.42e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000137 8.1e-05 0.000116 0.000116 0.000132 7.87e-05 0.029 0.029 0.0123 0.0448 0.0448 0.0438 3.98e-10 3.98e-10 7.31e-10 6.6e-10 3.11e-06 3.11e-06 6.54e-08 0 0 0 0 0 0 0 0
193 19090000 0.707 0.706 5.79e-05 5.96e-05 -0.0122 0.708 0.0142 0.0023 0.00391 0.00751 0.0075 -0.000386 -365 -1.37e-05 -6.05e-05 5.79e-06 5.26e-06 -2.87e-05 -2.86e-05 6.44e-05 6.42e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000137 8.09e-05 0.000117 0.000117 0.000131 7.86e-05 0.0319 0.0319 0.0123 0.0506 0.0506 0.0442 3.98e-10 3.98e-10 7.17e-10 6.48e-10 3.11e-06 3.11e-06 6.37e-08 0 0 0 0 0 0 0 0
194 19190000 0.707 0.706 5.9e-05 6.06e-05 -0.0121 0.708 0.0143 0.00228 0.00399 0.00838 -0.000362 -365 -1.37e-05 -6.05e-05 5.94e-06 5.4e-06 -2.9e-05 6.41e-05 6.39e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000137 8.06e-05 0.000114 0.000114 0.000131 7.83e-05 0.0283 0.0283 0.0119 0.0446 0.0446 0.0435 3.62e-10 3.62e-10 7.01e-10 6.35e-10 3.1e-06 3.1e-06 6.09e-08 0 0 0 0 0 0 0 0
195 19290000 0.707 0.706 8.2e-05 8.37e-05 -0.0121 0.708 0.0146 0.00154 0.00673 0.00979 0.00978 -0.000153 -365 -1.37e-05 -6.05e-05 5.73e-06 5.23e-06 -2.9e-05 6.41e-05 6.39e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000136 8.03e-05 0.000115 0.000115 0.000131 7.81e-05 0.0311 0.0311 0.0117 0.0504 0.0504 0.0433 3.62e-10 3.62e-10 6.85e-10 6.22e-10 3.1e-06 3.1e-06 5.91e-08 0 0 0 0 0 0 0 0
196 19390000 0.707 0.706 9.08e-05 9.24e-05 -0.012 0.708 0.0122 0.000596 0.0106 0.00784 -0.000191 -365 -1.39e-05 -6.06e-05 -6.05e-05 5.88e-06 5.37e-06 -2.92e-05 -2.91e-05 6.7e-05 6.68e-05 -0.00131 0.209 0.00206 0.432 0 0 0 0 0 0.000136 8.02e-05 0.000111 0.000111 0.000131 7.8e-05 0.0276 0.0276 0.0115 0.0445 0.0445 0.0431 3.3e-10 3.3e-10 6.72e-10 6.11e-10 3.09e-06 3.09e-06 5.69e-08 0 0 0 0 0 0 0 0
197 19490000 0.707 0.000114 0.000115 -0.012 0.707 0.708 0.0112 -0.000104 -0.000103 0.00696 0.00899 0.00898 -0.00017 -0.000169 -365 -1.39e-05 -6.06e-05 -6.05e-05 6.17e-06 5.65e-06 -2.92e-05 6.7e-05 6.68e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000136 8e-05 0.000113 0.000112 0.00013 7.77e-05 0.0303 0.0303 0.0113 0.0502 0.0502 0.043 3.3e-10 3.3e-10 6.57e-10 5.99e-10 3.09e-06 3.09e-06 5.53e-08 0 0 0 0 0 0 0 0
198 19590000 0.707 0.00016 0.000161 -0.0119 0.707 0.00929 0.00928 -0.00115 0.00631 0.00726 -0.000211 -0.00021 -365 -1.4e-05 -6.06e-05 6.55e-06 6.01e-06 -2.92e-05 6.94e-05 6.92e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000135 7.97e-05 0.00011 0.000109 0.000109 0.00013 7.74e-05 0.0269 0.0269 0.011 0.0444 0.0444 0.0423 3.01e-10 3.01e-10 6.43e-10 5.87e-10 3.08e-06 3.08e-06 5.31e-08 0 0 0 0 0 0 0 0
199 19690000 0.707 0.00016 0.000162 -0.012 0.707 0.00964 -0.00333 0.00785 0.00821 -0.00044 -365 -1.4e-05 -6.06e-05 6.32e-06 5.8e-06 -2.92e-05 6.94e-05 6.92e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000135 7.95e-05 0.000111 0.00011 0.00011 0.00013 7.72e-05 0.0295 0.0295 0.0109 0.05 0.05 0.0422 3.01e-10 3.01e-10 6.29e-10 5.75e-10 3.08e-06 3.08e-06 5.16e-08 0 0 0 0 0 0 0 0
200 19790000 0.707 0.000225 0.000226 -0.0119 0.707 0.00735 0.00734 -0.00418 0.00835 0.00665 0.00664 -0.000354 -365 -1.41e-05 -6.05e-05 6.33e-06 5.82e-06 -2.87e-05 7.14e-05 7.11e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000135 7.93e-05 0.000108 0.000108 0.000129 7.71e-05 0.0263 0.0263 0.0106 0.0442 0.0442 0.042 2.75e-10 2.75e-10 6.17e-10 5.65e-10 3.07e-06 3.08e-06 5e-08 0 0 0 0 0 0 0 0
201 19890000 0.707 0.000172 0.000174 -0.0119 0.707 0.0061 0.00609 -0.00445 0.00953 0.00733 0.00732 -0.0008 -365 -1.41e-05 -6.05e-05 6.74e-06 6.21e-06 -2.87e-05 7.13e-05 7.11e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000135 7.91e-05 0.000109 0.000109 0.000108 0.000129 7.68e-05 0.0288 0.0288 0.0105 0.0498 0.0498 0.0419 2.75e-10 2.76e-10 6.04e-10 5.54e-10 3.07e-06 3.08e-06 5e-08 0 0 0 0 0 0 0 0
202 19990000 0.707 0.000155 0.000157 -0.0119 0.707 0.00368 0.00367 -0.00516 0.0123 0.00596 -0.000671 -365 -1.42e-05 -6.05e-05 7.3e-06 6.73e-06 -2.81e-05 -2.8e-05 7.26e-05 7.24e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000134 7.88e-05 0.000106 0.000106 0.000129 7.66e-05 0.0256 0.0256 0.0102 0.0441 0.0441 0.0412 2.52e-10 2.52e-10 5.91e-10 5.44e-10 3.07e-06 3.07e-06 5e-08 0 0 0 0 0 0 0 0
203 20090000 0.707 0.00015 0.000151 -0.0119 0.707 0.00344 -0.0071 0.0126 0.00632 0.00631 -0.00127 -365 -1.42e-05 -6.05e-05 7.76e-06 7.17e-06 -2.81e-05 -2.8e-05 7.26e-05 7.23e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000134 7.87e-05 0.000107 0.000107 0.000129 7.65e-05 0.028 0.028 0.0102 0.0495 0.0495 0.0415 2.52e-10 2.52e-10 5.8e-10 5.34e-10 3.07e-06 3.07e-06 5e-08 0 0 0 0 0 0 0 0
204 20190000 0.707 0.00025 0.000252 -0.0118 0.707 0.00114 0.00113 -0.00779 0.0149 0.00406 0.00405 -0.000998 -365 -1.43e-05 -6.05e-05 -6.04e-05 7.95e-06 7.36e-06 -2.7e-05 -2.69e-05 7.47e-05 7.44e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000134 7.85e-05 0.000104 0.000104 0.000128 7.62e-05 0.025 0.025 0.00991 0.0439 0.0439 0.0409 2.31e-10 2.32e-10 5.68e-10 5.24e-10 3.06e-06 3.06e-06 5e-08 0 0 0 0 0 0 0 0
205 20290000 0.707 0.000211 0.000212 -0.0118 0.707 -1.2e-05 -1.88e-05 -0.00937 0.0129 0.00411 0.0041 -0.00185 -365 -1.43e-05 -6.05e-05 8.08e-06 7.49e-06 -2.71e-05 -2.7e-05 7.47e-05 7.44e-05 -0.0013 0.209 0.00206 0.432 0 0 0 0 0 0.000133 7.82e-05 0.000105 0.000105 0.000128 7.6e-05 0.0273 0.0273 0.00982 0.0493 0.0493 0.0408 2.32e-10 2.32e-10 5.56e-10 5.14e-10 3.06e-06 3.06e-06 5e-08 0 0 0 0 0 0 0 0
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src/modules/ekf2/test/change_indication/iris_gps.csv
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19490000,0.982,-0.00659,-0.00973,0.186,-0.00513,-0.000982,0.0369,0.00256,-0.000672,-0.224,-1.53e-05,-6e-05,1.32e-06,-5.24e-05,0.000133,-0.00139,0.204,0.00201,0.435,0,0,0,0,0,3.18e-06,0.000112,0.000112,8.58e-05,0.0305,0.0305,0.00844,0.0503,0.0503,0.0354,3.35e-10,3.35e-10,6.83e-10,3.03e-06,3.03e-06,5e-08,0,0,0,0,0,0,0,0 19490000,0.982,-0.00659,-0.00973,0.186,-0.00514,-0.000979,0.0369,0.00255,-0.00067,-0.224,-1.53e-05,-6e-05,1.22e-06,-5.25e-05,0.000133,-0.00139,0.204,0.00201,0.435,0,0,0,0,0,2.93e-06,0.000112,0.000112,7.97e-05,0.0305,0.0305,0.00844,0.0503,0.0503,0.0354,3.35e-10,3.35e-10,6.15e-10,3.03e-06,3.03e-06,5e-08,0,0,0,0,0,0,0,0
19590000,0.982,-0.00655,-0.00983,0.186,-0.006,-0.00403,0.0372,0.00334,-0.00181,-0.228,-1.51e-05,-6e-05,1.21e-06,-5.17e-05,0.000131,-0.00138,0.204,0.00201,0.435,0,0,0,0,0,3.16e-06,0.000109,0.000109,8.52e-05,0.0271,0.0271,0.00836,0.0444,0.0444,0.0352,3.05e-10,3.06e-10,6.68e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0 19590000,0.982,-0.00655,-0.00983,0.187,-0.006,-0.00403,0.0372,0.00334,-0.00181,-0.228,-1.51e-05,-6e-05,1.12e-06,-5.18e-05,0.000131,-0.00138,0.204,0.00201,0.435,0,0,0,0,0,2.91e-06,0.000109,0.000109,7.92e-05,0.0271,0.0271,0.00836,0.0444,0.0444,0.0352,3.05e-10,3.06e-10,6.03e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0
19690000,0.982,-0.00656,-0.00985,0.186,-0.00783,-0.00248,0.0342,0.00267,-0.00212,-0.233,-1.51e-05,-6e-05,1.35e-06,-5.23e-05,0.000132,-0.00138,0.204,0.00201,0.435,0,0,0,0,0,3.14e-06,0.00011,0.00011,8.45e-05,0.0297,0.0297,0.0084,0.0501,0.0501,0.0353,3.06e-10,3.06e-10,6.54e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0 19690000,0.982,-0.00656,-0.00985,0.186,-0.00784,-0.00248,0.0342,0.00267,-0.00212,-0.233,-1.51e-05,-6e-05,1.25e-06,-5.24e-05,0.000132,-0.00138,0.204,0.00201,0.435,0,0,0,0,0,2.9e-06,0.00011,0.00011,7.87e-05,0.0297,0.0297,0.0084,0.0501,0.0501,0.0353,3.06e-10,3.06e-10,5.91e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0
19790000,0.982,-0.00664,-0.00989,0.187,-0.0077,-0.00113,0.0314,0.00528,-0.00173,-0.241,-1.51e-05,-5.98e-05,1.1e-06,-5.03e-05,0.000132,-0.00137,0.204,0.00201,0.435,0,0,0,0,0,3.13e-06,0.000107,0.000107,8.42e-05,0.0264,0.0264,0.00835,0.0443,0.0443,0.0354,2.79e-10,2.79e-10,6.41e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0 19790000,0.982,-0.00664,-0.00989,0.187,-0.0077,-0.00113,0.0314,0.00528,-0.00173,-0.241,-1.51e-05,-5.98e-05,1.03e-06,-5.04e-05,0.000132,-0.00137,0.204,0.00201,0.435,0,0,0,0,0,2.89e-06,0.000107,0.000107,7.85e-05,0.0264,0.0264,0.00835,0.0443,0.0443,0.0354,2.79e-10,2.79e-10,5.81e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0
19890000,0.982,-0.00666,-0.00997,0.187,-0.00789,-0.000805,0.0304,0.00445,-0.00178,-0.247,-1.51e-05,-5.98e-05,9.76e-07,-5.11e-05,0.000132,-0.00137,0.204,0.00201,0.435,0,0,0,0,0,3.1e-06,0.000108,0.000108,8.36e-05,0.0289,0.0289,0.00839,0.0498,0.0498,0.0355,2.79e-10,2.79e-10,6.28e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0 19890000,0.982,-0.00666,-0.00997,0.187,-0.00789,-0.000803,0.0304,0.00445,-0.00178,-0.247,-1.51e-05,-5.98e-05,9.13e-07,-5.12e-05,0.000132,-0.00137,0.204,0.00201,0.435,0,0,0,0,0,2.87e-06,0.000108,0.000108,7.81e-05,0.0289,0.0289,0.00839,0.0498,0.0498,0.0355,2.79e-10,2.79e-10,5.69e-10,3.02e-06,3.02e-06,5e-08,0,0,0,0,0,0,0,0
19990000,0.982,-0.00666,-0.0101,0.187,-0.00742,-0.000841,0.0263,0.00502,-0.000326,-0.254,-1.51e-05,-5.96e-05,1e-06,-4.94e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,3.08e-06,0.000105,0.000105,8.3e-05,0.0258,0.0258,0.0083,0.0441,0.0441,0.0353,2.55e-10,2.55e-10,6.14e-10,3.01e-06,3.01e-06,5e-08,0,0,0,0,0,0,0,0 19990000,0.982,-0.00666,-0.0101,0.187,-0.00742,-0.00084,0.0263,0.00502,-0.000326,-0.254,-1.52e-05,-5.96e-05,9.37e-07,-4.95e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,2.85e-06,0.000105,0.000105,7.76e-05,0.0258,0.0258,0.0083,0.0441,0.0441,0.0353,2.55e-10,2.55e-10,5.58e-10,3.01e-06,3.01e-06,5e-08,0,0,0,0,0,0,0,0
20090000,0.982,-0.00667,-0.0101,0.186,-0.00702,-0.00301,0.0257,0.00427,-0.000528,-0.254,-1.52e-05,-5.96e-05,9.65e-07,-4.96e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,3.07e-06,0.000106,0.000106,8.27e-05,0.0282,0.0282,0.00837,0.0496,0.0496,0.0357,2.55e-10,2.56e-10,6.03e-10,3.01e-06,3.01e-06,5e-08,0,0,0,0,0,0,0,0 20090000,0.982,-0.00667,-0.0101,0.186,-0.00703,-0.00301,0.0257,0.00427,-0.000528,-0.254,-1.52e-05,-5.96e-05,9.05e-07,-4.97e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,2.84e-06,0.000106,0.000106,7.74e-05,0.0282,0.0282,0.00837,0.0496,0.0496,0.0357,2.55e-10,2.56e-10,5.49e-10,3.01e-06,3.01e-06,5e-08,0,0,0,0,0,0,0,0
20190000,0.982,-0.00667,-0.0102,0.187,-0.0058,-0.000548,0.0254,0.00549,-0.000333,-0.259,-1.51e-05,-5.95e-05,7.09e-07,-4.89e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,3.04e-06,0.000104,0.000104,8.21e-05,0.0251,0.0251,0.00829,0.044,0.044,0.0355,2.34e-10,2.34e-10,5.9e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0 20190000,0.982,-0.00667,-0.0102,0.187,-0.0058,-0.000547,0.0254,0.00549,-0.000333,-0.259,-1.52e-05,-5.95e-05,6.72e-07,-4.9e-05,0.000134,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,2.83e-06,0.000104,0.000104,7.69e-05,0.0251,0.0251,0.00829,0.044,0.044,0.0355,2.34e-10,2.34e-10,5.38e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0
20290000,0.982,-0.00665,-0.0103,0.187,-0.00913,-0.00156,0.0245,0.00477,-0.000375,-0.262,-1.52e-05,-5.95e-05,6.16e-07,-4.94e-05,0.000135,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,3.02e-06,0.000104,0.000104,8.15e-05,0.0275,0.0275,0.00832,0.0494,0.0494,0.0356,2.34e-10,2.34e-10,5.78e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0 20290000,0.982,-0.00665,-0.0103,0.187,-0.00913,-0.00156,0.0245,0.00476,-0.000376,-0.262,-1.52e-05,-5.95e-05,5.88e-07,-4.95e-05,0.000135,-0.00136,0.204,0.00201,0.435,0,0,0,0,0,2.81e-06,0.000104,0.000104,7.65e-05,0.0275,0.0275,0.00832,0.0494,0.0494,0.0356,2.34e-10,2.34e-10,5.28e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0
20390000,0.982,-0.00662,-0.0103,0.187,-0.00962,-0.000489,0.0238,0.00585,-0.000214,-0.264,-1.51e-05,-5.94e-05,7.51e-07,-4.82e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,3.01e-06,0.000102,0.000102,8.12e-05,0.0245,0.0245,0.00827,0.0438,0.0438,0.0357,2.15e-10,2.15e-10,5.67e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0 20390000,0.982,-0.00662,-0.0103,0.187,-0.00962,-0.000488,0.0238,0.00585,-0.000214,-0.264,-1.51e-05,-5.94e-05,7.12e-07,-4.83e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,2.8e-06,0.000102,0.000102,7.63e-05,0.0245,0.0245,0.00827,0.0438,0.0438,0.0357,2.15e-10,2.15e-10,5.19e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0
20490000,0.982,-0.00661,-0.0102,0.186,-0.0144,-0.00139,0.0226,0.00464,-0.00028,-0.27,-1.51e-05,-5.94e-05,7.19e-07,-4.88e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,2.99e-06,0.000103,0.000103,8.06e-05,0.0267,0.0267,0.0083,0.0491,0.0491,0.0357,2.15e-10,2.15e-10,5.55e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0 20490000,0.982,-0.00661,-0.0102,0.186,-0.0144,-0.00138,0.0226,0.00464,-0.00028,-0.27,-1.51e-05,-5.94e-05,6.83e-07,-4.89e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,2.78e-06,0.000103,0.000103,7.58e-05,0.0267,0.0267,0.0083,0.0491,0.0491,0.0357,2.15e-10,2.15e-10,5.09e-10,3e-06,3e-06,5e-08,0,0,0,0,0,0,0,0
20590000,0.982,-0.0066,-0.0102,0.186,-0.0132,-0.00243,0.0212,0.00589,-0.000237,-0.275,-1.51e-05,-5.93e-05,9.66e-07,-4.71e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,2.96e-06,0.000101,0.0001,8e-05,0.0239,0.0239,0.00821,0.0436,0.0436,0.0355,1.98e-10,1.98e-10,5.44e-10,2.99e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0 20590000,0.982,-0.0066,-0.0102,0.186,-0.0133,-0.00242,0.0212,0.00589,-0.000237,-0.275,-1.51e-05,-5.93e-05,9.11e-07,-4.71e-05,0.000135,-0.00135,0.204,0.00201,0.435,0,0,0,0,0,2.76e-06,0.000101,0.0001,7.53e-05,0.0239,0.0239,0.00821,0.0436,0.0436,0.0355,1.98e-10,1.98e-10,5e-10,2.99e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0
20690000,0.982,-0.00651,-0.0102,0.186,-0.0151,-0.00114,0.0214,0.00449,-0.000362,-0.278,-1.51e-05,-5.93e-05,7.37e-07,-4.76e-05,0.000135,-0.00134,0.204,0.00201,0.435,0,0,0,0,0,2.95e-06,0.000101,0.000101,7.97e-05,0.0261,0.0261,0.00829,0.0489,0.0489,0.0359,1.98e-10,1.98e-10,5.34e-10,2.99e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0 20690000,0.982,-0.00651,-0.0102,0.186,-0.0151,-0.00114,0.0214,0.00449,-0.000362,-0.278,-1.51e-05,-5.93e-05,7.02e-07,-4.77e-05,0.000135,-0.00134,0.204,0.00201,0.435,0,0,0,0,0,2.76e-06,0.000101,0.000101,7.51e-05,0.0261,0.0261,0.00829,0.0489,0.0489,0.0359,1.98e-10,1.98e-10,4.92e-10,2.99e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0
20790000,0.982,-0.00591,-0.0102,0.186,-0.0174,0.00133,0.00537,0.00381,-0.000264,-0.283,-1.51e-05,-5.92e-05,8.08e-07,-4.67e-05,0.000135,-0.00134,0.204,0.00201,0.435,0,0,0,0,0,2.93e-06,9.92e-05,9.91e-05,7.91e-05,0.0234,0.0234,0.0082,0.0434,0.0434,0.0356,1.83e-10,1.83e-10,5.23e-10,2.98e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0 20790000,0.982,-0.00591,-0.0101,0.186,-0.0174,0.00133,0.00537,0.00381,-0.000263,-0.283,-1.51e-05,-5.92e-05,7.67e-07,-4.67e-05,0.000135,-0.00134,0.204,0.00201,0.435,0,0,0,0,0,2.74e-06,9.92e-05,9.91e-05,7.47e-05,0.0234,0.0234,0.0082,0.0434,0.0434,0.0356,1.83e-10,1.83e-10,4.82e-10,2.98e-06,2.99e-06,5e-08,0,0,0,0,0,0,0,0
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1 Timestamp state[0] state[1] state[2] state[3] state[4] state[5] state[6] state[7] state[8] state[9] state[10] state[11] state[12] state[13] state[14] state[15] state[16] state[17] state[18] state[19] state[20] state[21] state[22] state[23] variance[0] variance[1] variance[2] variance[3] variance[4] variance[5] variance[6] variance[7] variance[8] variance[9] variance[10] variance[11] variance[12] variance[13] variance[14] variance[15] variance[16] variance[17] variance[18] variance[19] variance[20] variance[21] variance[22] variance[23]
2 10000 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 90000 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 190000 0.979 -0.00865 -0.0138 0.205 -0.000572 -0.00011 -0.00742 -2.83e-05 -2.2e-05 -0.0351 -2.69e-14 7.98e-14 2.03e-15 1.97e-15 2.99e-11 -2.9e-11 1.29e-09 0.203 0.0109 0.434 0 0 0 0 0 0.000143 9.66e-05 0.00247 0.00247 0.00324 0.00218 25 25 0.563 100 100 0.8 1e-06 1e-06 1e-06 9.99e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
5 290000 0.979 -0.00873 -0.0141 0.205 0.000802 -0.000466 -0.0239 -6.92e-05 -2.29e-05 -0.0538 5.71e-12 -9.05e-13 -1.79e-13 -1.87e-13 1.07e-09 -1.03e-09 4.57e-08 0.203 0.0109 0.434 0 0 0 0 0 9.45e-05 5.2e-05 0.00253 0.00253 0.00213 0.00116 25 25 0.562 101 101 0.337 1e-06 1e-06 9.97e-07 9.94e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
6 390000 0.979 -0.00874 -0.0144 0.205 0.00384 -0.000206 -0.0425 0.000107 7.77e-06 -0.0658 -2.92e-11 -1.07e-10 -1.39e-12 -1.31e-12 8.73e-09 -8.37e-09 3.69e-07 0.203 0.0109 0.434 0 0 0 0 0 7.23e-05 3.72e-05 0.00263 0.00263 0.00162 0.000823 24.8 24.8 0.557 0.29 0.29 0.209 1e-06 1e-06 9.88e-07 9.78e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
7 490000 0.979 -0.00876 -0.0148 0.205 0.00668 -0.00219 -0.0639 0.000628 -0.00011 -0.0812 -2.87e-10 -5.71e-10 -3.06e-12 -2.41e-12 2.75e-08 -2.63e-08 1.15e-06 0.203 0.0109 0.434 0 0 0 0 0 6.04e-05 3.07e-05 0.00279 0.00279 0.00135 0.000673 24.9 24.9 0.544 0.739 0.739 0.159 1e-06 1e-06 9.73e-07 9.49e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
8 590000 0.979 -0.00877 -0.015 0.205 0.00456 -0.00282 -0.0851 0.000297 -0.000135 -0.0938 -6.02e-09 -7.53e-09 5.54e-11 7.27e-11 6.35e-08 -5.84e-08 2.02e-06 0.203 0.0109 0.434 0 0 0 0 0 5.37e-05 2.77e-05 0.00299 0.00299 0.0012 0.000603 7.8 7.8 0.527 0.267 0.267 0.141 1e-06 1e-06 9.49e-07 9.04e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
9 690000 0.979 -0.0088 -0.0153 0.205 0.00888 -0.00425 -0.0976 0.000996 -0.000484 -0.103 -6.06e-09 -7.57e-09 5.59e-11 7.33e-11 6.46e-08 -5.94e-08 2.07e-06 0.203 0.0109 0.434 0 0 0 0 0 5.01e-05 2.65e-05 0.00324 0.00324 0.00111 0.000573 7.87 7.87 0.497 0.556 0.556 0.13 1e-06 1e-06 9.16e-07 8.45e-07 4e-06 4e-06 4e-06 0 0 0 0 0 0 0 0
10 790000 0.979 -0.0088 -0.0156 0.205 0.00942 -0.00187 -0.11 0.000559 -0.000205 -0.114 -3.56e-08 -3.46e-08 4.58e-10 5.48e-10 1.03e-07 -1.01e-07 2.23e-06 0.203 0.0109 0.434 0 0 0 0 0 4.82e-05 2.63e-05 0.00353 0.00353 0.00106 0.000563 2.63 2.63 0.46 0.218 0.218 0.125 9.99e-07 9.99e-07 8.75e-07 7.74e-07 4e-06 4e-06 3.99e-06 0 0 0 0 0 0 0 0
11 890000 0.979 -0.00883 -0.0159 0.205 0.0126 -0.00133 -0.128 0.00162 -0.000368 -0.13 -3.77e-08 -3.7e-08 4.82e-10 5.78e-10 1.4e-07 -1.35e-07 3.74e-06 0.203 0.0109 0.434 0 0 0 0 0 4.75e-05 2.64e-05 0.00388 0.00388 0.00104 0.000561 2.72 2.72 0.423 0.363 0.363 0.128 9.99e-07 9.99e-07 8.27e-07 6.97e-07 4e-06 4e-06 3.99e-06 0 0 0 0 0 0 0 0
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195 19290000 0.982 -0.00649 -0.00992 0.186 -0.00385 -0.00446 0.0393 0.0035 0.00349 -0.00237 -0.213 -1.51e-05 -6.01e-05 1.78e-06 1.63e-06 -5.16e-05 -5.17e-05 0.000129 -0.0014 0.204 0.00201 0.435 0 0 0 0 0 3.22e-06 2.95e-06 0.000115 0.000115 8.68e-05 8.04e-05 0.0313 0.0313 0.00844 0.0505 0.0505 0.0352 3.68e-10 3.68e-10 7.13e-10 6.38e-10 3.04e-06 3.04e-06 5e-08 0 0 0 0 0 0 0 0
196 19390000 0.982 -0.00656 -0.00982 0.186 -0.00411 -0.00412 -0.00108 -0.00107 0.039 0.00304 -0.000585 -0.000583 -0.219 -1.52e-05 -1.53e-05 -6e-05 1.64e-06 1.5e-06 -5.14e-05 -5.15e-05 0.000132 -0.00139 0.204 0.00201 0.435 0 0 0 0 0 3.2e-06 2.94e-06 0.000111 0.000111 8.65e-05 8.02e-05 0.0278 0.0278 0.0084 0.0446 0.0446 0.0353 3.35e-10 3.35e-10 6.99e-10 6.27e-10 3.03e-06 3.03e-06 5e-08 0 0 0 0 0 0 0 0
197 19490000 0.982 -0.00659 -0.00973 0.186 -0.00513 -0.00514 -0.000982 -0.000979 0.0369 0.00256 0.00255 -0.000672 -0.00067 -0.224 -1.53e-05 -6e-05 1.32e-06 1.22e-06 -5.24e-05 -5.25e-05 0.000133 -0.00139 0.204 0.00201 0.435 0 0 0 0 0 3.18e-06 2.93e-06 0.000112 0.000112 8.58e-05 7.97e-05 0.0305 0.0305 0.00844 0.0503 0.0503 0.0354 3.35e-10 3.35e-10 6.83e-10 6.15e-10 3.03e-06 3.03e-06 5e-08 0 0 0 0 0 0 0 0
198 19590000 0.982 -0.00655 -0.00983 0.186 0.187 -0.006 -0.00403 0.0372 0.00334 -0.00181 -0.228 -1.51e-05 -6e-05 1.21e-06 1.12e-06 -5.17e-05 -5.18e-05 0.000131 -0.00138 0.204 0.00201 0.435 0 0 0 0 0 3.16e-06 2.91e-06 0.000109 0.000109 8.52e-05 7.92e-05 0.0271 0.0271 0.00836 0.0444 0.0444 0.0352 3.05e-10 3.06e-10 6.68e-10 6.03e-10 3.02e-06 3.02e-06 5e-08 0 0 0 0 0 0 0 0
199 19690000 0.982 -0.00656 -0.00985 0.186 -0.00783 -0.00784 -0.00248 0.0342 0.00267 -0.00212 -0.233 -1.51e-05 -6e-05 1.35e-06 1.25e-06 -5.23e-05 -5.24e-05 0.000132 -0.00138 0.204 0.00201 0.435 0 0 0 0 0 3.14e-06 2.9e-06 0.00011 0.00011 8.45e-05 7.87e-05 0.0297 0.0297 0.0084 0.0501 0.0501 0.0353 3.06e-10 3.06e-10 6.54e-10 5.91e-10 3.02e-06 3.02e-06 5e-08 0 0 0 0 0 0 0 0
200 19790000 0.982 -0.00664 -0.00989 0.187 -0.0077 -0.00113 0.0314 0.00528 -0.00173 -0.241 -1.51e-05 -5.98e-05 1.1e-06 1.03e-06 -5.03e-05 -5.04e-05 0.000132 -0.00137 0.204 0.00201 0.435 0 0 0 0 0 3.13e-06 2.89e-06 0.000107 0.000107 8.42e-05 7.85e-05 0.0264 0.0264 0.00835 0.0443 0.0443 0.0354 2.79e-10 2.79e-10 6.41e-10 5.81e-10 3.02e-06 3.02e-06 5e-08 0 0 0 0 0 0 0 0
201 19890000 0.982 -0.00666 -0.00997 0.187 -0.00789 -0.000805 -0.000803 0.0304 0.00445 -0.00178 -0.247 -1.51e-05 -5.98e-05 9.76e-07 9.13e-07 -5.11e-05 -5.12e-05 0.000132 -0.00137 0.204 0.00201 0.435 0 0 0 0 0 3.1e-06 2.87e-06 0.000108 0.000108 8.36e-05 7.81e-05 0.0289 0.0289 0.00839 0.0498 0.0498 0.0355 2.79e-10 2.79e-10 6.28e-10 5.69e-10 3.02e-06 3.02e-06 5e-08 0 0 0 0 0 0 0 0
202 19990000 0.982 -0.00666 -0.0101 0.187 -0.00742 -0.000841 -0.00084 0.0263 0.00502 -0.000326 -0.254 -1.51e-05 -1.52e-05 -5.96e-05 1e-06 9.37e-07 -4.94e-05 -4.95e-05 0.000134 -0.00136 0.204 0.00201 0.435 0 0 0 0 0 3.08e-06 2.85e-06 0.000105 0.000105 8.3e-05 7.76e-05 0.0258 0.0258 0.0083 0.0441 0.0441 0.0353 2.55e-10 2.55e-10 6.14e-10 5.58e-10 3.01e-06 3.01e-06 5e-08 0 0 0 0 0 0 0 0
203 20090000 0.982 -0.00667 -0.0101 0.186 -0.00702 -0.00703 -0.00301 0.0257 0.00427 -0.000528 -0.254 -1.52e-05 -5.96e-05 9.65e-07 9.05e-07 -4.96e-05 -4.97e-05 0.000134 -0.00136 0.204 0.00201 0.435 0 0 0 0 0 3.07e-06 2.84e-06 0.000106 0.000106 8.27e-05 7.74e-05 0.0282 0.0282 0.00837 0.0496 0.0496 0.0357 2.55e-10 2.56e-10 6.03e-10 5.49e-10 3.01e-06 3.01e-06 5e-08 0 0 0 0 0 0 0 0
204 20190000 0.982 -0.00667 -0.0102 0.187 -0.0058 -0.000548 -0.000547 0.0254 0.00549 -0.000333 -0.259 -1.51e-05 -1.52e-05 -5.95e-05 7.09e-07 6.72e-07 -4.89e-05 -4.9e-05 0.000134 -0.00136 0.204 0.00201 0.435 0 0 0 0 0 3.04e-06 2.83e-06 0.000104 0.000104 8.21e-05 7.69e-05 0.0251 0.0251 0.00829 0.044 0.044 0.0355 2.34e-10 2.34e-10 5.9e-10 5.38e-10 3e-06 3e-06 5e-08 0 0 0 0 0 0 0 0
205 20290000 0.982 -0.00665 -0.0103 0.187 -0.00913 -0.00156 0.0245 0.00477 0.00476 -0.000375 -0.000376 -0.262 -1.52e-05 -5.95e-05 6.16e-07 5.88e-07 -4.94e-05 -4.95e-05 0.000135 -0.00136 0.204 0.00201 0.435 0 0 0 0 0 3.02e-06 2.81e-06 0.000104 0.000104 8.15e-05 7.65e-05 0.0275 0.0275 0.00832 0.0494 0.0494 0.0356 2.34e-10 2.34e-10 5.78e-10 5.28e-10 3e-06 3e-06 5e-08 0 0 0 0 0 0 0 0
206 20390000 0.982 -0.00662 -0.0103 0.187 -0.00962 -0.000489 -0.000488 0.0238 0.00585 -0.000214 -0.264 -1.51e-05 -5.94e-05 7.51e-07 7.12e-07 -4.82e-05 -4.83e-05 0.000135 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 3.01e-06 2.8e-06 0.000102 0.000102 8.12e-05 7.63e-05 0.0245 0.0245 0.00827 0.0438 0.0438 0.0357 2.15e-10 2.15e-10 5.67e-10 5.19e-10 3e-06 3e-06 5e-08 0 0 0 0 0 0 0 0
207 20490000 0.982 -0.00661 -0.0102 0.186 -0.0144 -0.00139 -0.00138 0.0226 0.00464 -0.00028 -0.27 -1.51e-05 -5.94e-05 7.19e-07 6.83e-07 -4.88e-05 -4.89e-05 0.000135 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 2.99e-06 2.78e-06 0.000103 0.000103 8.06e-05 7.58e-05 0.0267 0.0267 0.0083 0.0491 0.0491 0.0357 2.15e-10 2.15e-10 5.55e-10 5.09e-10 3e-06 3e-06 5e-08 0 0 0 0 0 0 0 0
208 20590000 0.982 -0.0066 -0.0102 0.186 -0.0132 -0.0133 -0.00243 -0.00242 0.0212 0.00589 -0.000237 -0.275 -1.51e-05 -5.93e-05 9.66e-07 9.11e-07 -4.71e-05 0.000135 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 2.96e-06 2.76e-06 0.000101 0.0001 8e-05 7.53e-05 0.0239 0.0239 0.00821 0.0436 0.0436 0.0355 1.98e-10 1.98e-10 5.44e-10 5e-10 2.99e-06 2.99e-06 5e-08 0 0 0 0 0 0 0 0
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210 20790000 0.982 -0.00591 -0.0102 -0.0101 0.186 -0.0174 0.00133 0.00537 0.00381 -0.000264 -0.000263 -0.283 -1.51e-05 -5.92e-05 8.08e-07 7.67e-07 -4.67e-05 0.000135 -0.00134 0.204 0.00201 0.435 0 0 0 0 0 2.93e-06 2.74e-06 9.92e-05 9.91e-05 7.91e-05 7.47e-05 0.0234 0.0234 0.0082 0.0434 0.0434 0.0356 1.83e-10 1.83e-10 5.23e-10 4.82e-10 2.98e-06 2.99e-06 5e-08 0 0 0 0 0 0 0 0
211 20890000 0.982 0.00321 -0.00615 0.186 -0.0238 0.0134 -0.114 0.00169 0.000517 -0.293 -1.51e-05 -5.92e-05 8.04e-07 7.64e-07 -4.69e-05 -4.7e-05 0.000135 -0.00134 0.204 0.00201 0.435 0 0 0 0 0 2.9e-06 2.72e-06 9.98e-05 9.98e-05 7.86e-05 7.43e-05 0.0258 0.0258 0.00823 0.0487 0.0487 0.0357 1.83e-10 1.83e-10 5.13e-10 4.73e-10 2.98e-06 2.99e-06 5e-08 0 0 0 0 0 0 0 0
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213 21090000 0.982 0.00494 -0.00311 0.187 -0.0482 0.0474 -0.373 -0.00291 -0.00292 0.00502 -0.345 -1.49e-05 -5.92e-05 7.37e-07 7.03e-07 -4.48e-05 -4.49e-05 0.000132 -0.00134 0.204 0.00201 0.435 0 0 0 0 0 2.88e-06 2.7e-06 9.84e-05 9.83e-05 7.77e-05 7.36e-05 0.0258 0.0258 0.00822 0.0485 0.0485 0.0358 1.69e-10 1.69e-10 4.94e-10 4.57e-10 2.98e-06 2.98e-06 5e-08 0 0 0 0 0 0 0 0
214 21190000 0.982 0.00206 -0.00479 0.187 -0.0517 0.0513 -0.5 -0.00221 0.00397 -0.384 -1.46e-05 -5.9e-05 7.96e-07 7.58e-07 -3.99e-05 -4e-05 0.000122 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 2.87e-06 2.69e-06 9.62e-05 9.62e-05 7.72e-05 7.32e-05 0.0234 0.0234 0.00813 0.0432 0.0432 0.0356 1.56e-10 1.56e-10 4.84e-10 4.49e-10 2.97e-06 2.97e-06 5e-08 0 0 0 0 0 0 0 0
215 21290000 0.982 -0.000107 -0.00612 0.187 -0.0521 0.055 -0.631 -0.0074 0.00931 -0.446 -1.46e-05 -5.9e-05 4.98e-07 4.82e-07 -4e-05 -4.01e-05 0.000122 -0.00134 0.204 0.00201 0.435 0 0 0 0 0 2.85e-06 2.68e-06 9.68e-05 9.68e-05 7.66e-05 7.27e-05 0.0257 0.0257 0.00816 0.0483 0.0483 0.0356 1.56e-10 1.56e-10 4.75e-10 4.41e-10 2.97e-06 2.97e-06 5e-08 0 0 0 0 0 0 0 0
216 21390000 0.982 -0.0016 -0.00685 0.187 -0.0473 0.0508 -0.756 -0.00599 0.0115 -0.513 -1.44e-05 -5.88e-05 5.02e-07 4.86e-07 -3.43e-05 -3.44e-05 0.000116 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 2.85e-06 2.68e-06 9.46e-05 9.45e-05 7.64e-05 7.25e-05 0.0233 0.0233 0.00812 0.0431 0.0431 0.0357 1.44e-10 1.44e-10 4.66e-10 4.34e-10 2.96e-06 2.96e-06 5e-08 0 0 0 0 0 0 0 0
217 21490000 0.982 -0.0024 -0.00726 0.187 -0.0431 0.0483 -0.893 -0.0106 0.0165 -0.602 -1.44e-05 -5.88e-05 6.24e-07 5.99e-07 -3.47e-05 -3.48e-05 0.000116 -0.00134 0.204 0.00201 0.435 0 0 0 0 0 2.84e-06 2.67e-06 9.51e-05 9.5e-05 7.58e-05 7.21e-05 0.0256 0.0256 0.00815 0.0482 0.0482 0.0357 1.44e-10 1.44e-10 4.57e-10 4.26e-10 2.96e-06 2.96e-06 5e-08 0 0 0 0 0 0 0 0
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219 21690000 0.982 -0.00324 -0.00714 0.187 -0.0328 0.0397 -1.15 -0.0123 0.0211 -0.811 -1.42e-05 -5.87e-05 9.04e-07 8.62e-07 -3.22e-05 -3.23e-05 0.000113 -0.00135 0.204 0.00201 0.435 0 0 0 0 0 2.81e-06 2.65e-06 9.33e-05 9.32e-05 7.5e-05 7.14e-05 0.0254 0.0254 0.00815 0.0481 0.0481 0.0358 1.34e-10 1.34e-10 4.41e-10 4.12e-10 2.95e-06 2.95e-06 5e-08 0 0 0 0 0 0 0 0
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