ekf2-gravity: nomalize gravity fusion and proper sequential fusion

This commit is contained in:
bresch
2024-01-18 20:39:16 -05:00
committed by Daniel Agar
parent d624fbba07
commit 7c7a3c117a
8 changed files with 289 additions and 226 deletions
@@ -607,35 +607,64 @@ def compute_drag_y_innov_var_and_k(
return (innov_var, K)
def compute_gravity_innov_var_and_k_and_h(
state: VState,
P: MTangent,
meas: sf.V3,
R: sf.Scalar,
epsilon: sf.Scalar
) -> (sf.V3, sf.V3, VTangent, VTangent, VTangent):
state = vstate_to_state(state)
def predict_gravity_direction(state: State):
# get transform from earth to body frame
R_to_body = state["quat_nominal"].inverse()
# the innovation is the error between measured acceleration
# and predicted (body frame), assuming no body acceleration
meas_pred = R_to_body * sf.Matrix([0,0,-9.80665])
innov = meas_pred - 9.80665 * meas.normalized(epsilon=epsilon)
return R_to_body * sf.Matrix([0,0,-1])
def compute_gravity_xyz_innov_var_and_hx(
state: VState,
P: MTangent,
R: sf.Scalar
) -> (sf.V3, VTangent):
state = vstate_to_state(state)
meas_pred = predict_gravity_direction(state)
# initialize outputs
innov_var = sf.V3()
K = [None] * 3
H = [None] * 3
# calculate observation jacobian (H), kalman gain (K), and innovation variance (S)
# for each axis
for i in range(3):
H = sf.V1(meas_pred[i]).jacobian(state)
innov_var[i] = (H * P * H.T + R)[0,0]
K[i] = P * H.T / innov_var[i]
H[i] = sf.V1(meas_pred[i]).jacobian(state)
innov_var[i] = (H[i] * P * H[i].T + R)[0,0]
return (innov, innov_var, K[0], K[1], K[2])
return (innov_var, H[0].T)
def compute_gravity_y_innov_var_and_h(
state: VState,
P: MTangent,
R: sf.Scalar
) -> (sf.V3, VTangent, VTangent, VTangent):
state = vstate_to_state(state)
meas_pred = predict_gravity_direction(state)
# calculate observation jacobian (H), kalman gain (K), and innovation variance (S)
H = sf.V1(meas_pred[1]).jacobian(state)
innov_var = (H * P * H.T + R)[0,0]
return (innov_var, H.T)
def compute_gravity_z_innov_var_and_h(
state: VState,
P: MTangent,
R: sf.Scalar
) -> (sf.V3, VTangent, VTangent, VTangent):
state = vstate_to_state(state)
meas_pred = predict_gravity_direction(state)
# calculate observation jacobian (H), kalman gain (K), and innovation variance (S)
H = sf.V1(meas_pred[2]).jacobian(state)
innov_var = (H * P * H.T + R)[0,0]
return (innov_var, H.T)
print("Derive EKF2 equations...")
generate_px4_function(predict_covariance, output_names=None)
@@ -662,6 +691,8 @@ generate_px4_function(compute_yaw_321_innov_var_and_h_alternate, output_names=["
generate_px4_function(compute_flow_xy_innov_var_and_hx, output_names=["innov_var", "H"])
generate_px4_function(compute_flow_y_innov_var_and_h, output_names=["innov_var", "H"])
generate_px4_function(compute_gnss_yaw_pred_innov_var_and_h, output_names=["meas_pred", "innov_var", "H"])
generate_px4_function(compute_gravity_innov_var_and_k_and_h, output_names=["innov", "innov_var", "Kx", "Ky", "Kz"])
generate_px4_function(compute_gravity_xyz_innov_var_and_hx, output_names=["innov_var", "Hx"])
generate_px4_function(compute_gravity_y_innov_var_and_h, output_names=["innov_var", "Hy"])
generate_px4_function(compute_gravity_z_innov_var_and_h, output_names=["innov_var", "Hz"])
generate_px4_state(State, tangent_idx)
@@ -1,191 +0,0 @@
// -----------------------------------------------------------------------------
// This file was autogenerated by symforce from template:
// function/FUNCTION.h.jinja
// Do NOT modify by hand.
// -----------------------------------------------------------------------------
#pragma once
#include <matrix/math.hpp>
namespace sym {
/**
* This function was autogenerated from a symbolic function. Do not modify by hand.
*
* Symbolic function: compute_gravity_innov_var_and_k_and_h
*
* Args:
* state: Matrix24_1
* P: Matrix23_23
* meas: Matrix31
* R: Scalar
* epsilon: Scalar
*
* Outputs:
* innov: Matrix31
* innov_var: Matrix31
* Kx: Matrix23_1
* Ky: Matrix23_1
* Kz: Matrix23_1
*/
template <typename Scalar>
void ComputeGravityInnovVarAndKAndH(const matrix::Matrix<Scalar, 24, 1>& state,
const matrix::Matrix<Scalar, 23, 23>& P,
const matrix::Matrix<Scalar, 3, 1>& meas, const Scalar R,
const Scalar epsilon,
matrix::Matrix<Scalar, 3, 1>* const innov = nullptr,
matrix::Matrix<Scalar, 3, 1>* const innov_var = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Kx = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Ky = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Kz = nullptr) {
// Total ops: 361
// Input arrays
// Intermediate terms (31)
const Scalar _tmp0 = 2 * state(2, 0);
const Scalar _tmp1 = _tmp0 * state(0, 0);
const Scalar _tmp2 = 2 * state(1, 0);
const Scalar _tmp3 = _tmp2 * state(3, 0);
const Scalar _tmp4 = -_tmp1 + _tmp3;
const Scalar _tmp5 =
Scalar(9.8066499999999994) /
std::sqrt(Scalar(epsilon + std::pow(meas(0, 0), Scalar(2)) + std::pow(meas(1, 0), Scalar(2)) +
std::pow(meas(2, 0), Scalar(2))));
const Scalar _tmp6 = _tmp0 * state(3, 0);
const Scalar _tmp7 = _tmp2 * state(0, 0);
const Scalar _tmp8 = _tmp6 + _tmp7;
const Scalar _tmp9 = std::pow(state(2, 0), Scalar(2));
const Scalar _tmp10 = std::pow(state(1, 0), Scalar(2));
const Scalar _tmp11 = std::pow(state(3, 0), Scalar(2));
const Scalar _tmp12 = std::pow(state(0, 0), Scalar(2));
const Scalar _tmp13 = -Scalar(9.8066499999999994) * _tmp10 + Scalar(9.8066499999999994) * _tmp11 +
Scalar(9.8066499999999994) * _tmp12 - Scalar(9.8066499999999994) * _tmp9;
const Scalar _tmp14 = -Scalar(9.8066499999999994) * _tmp8;
const Scalar _tmp15 = P(2, 2) * _tmp14;
const Scalar _tmp16 = P(1, 1) * _tmp13;
const Scalar _tmp17 =
R + _tmp13 * (P(2, 1) * _tmp14 + _tmp16) + _tmp14 * (P(1, 2) * _tmp13 + _tmp15);
const Scalar _tmp18 = Scalar(9.8066499999999994) * _tmp10 - Scalar(9.8066499999999994) * _tmp11 -
Scalar(9.8066499999999994) * _tmp12 + Scalar(9.8066499999999994) * _tmp9;
const Scalar _tmp19 = -Scalar(9.8066499999999994) * _tmp1 + Scalar(9.8066499999999994) * _tmp3;
const Scalar _tmp20 = P(2, 2) * _tmp19;
const Scalar _tmp21 = P(0, 0) * _tmp18;
const Scalar _tmp22 =
R + _tmp18 * (P(2, 0) * _tmp19 + _tmp21) + _tmp19 * (P(0, 2) * _tmp18 + _tmp20);
const Scalar _tmp23 = Scalar(9.8066499999999994) * _tmp6 + Scalar(9.8066499999999994) * _tmp7;
const Scalar _tmp24 = -Scalar(9.8066499999999994) * _tmp4;
const Scalar _tmp25 = P(1, 1) * _tmp24;
const Scalar _tmp26 = P(0, 0) * _tmp23;
const Scalar _tmp27 =
R + _tmp23 * (P(1, 0) * _tmp24 + _tmp26) + _tmp24 * (P(0, 1) * _tmp23 + _tmp25);
const Scalar _tmp28 = Scalar(1.0) / (_tmp17);
const Scalar _tmp29 = Scalar(1.0) / (_tmp22);
const Scalar _tmp30 = Scalar(1.0) / (_tmp27);
// Output terms (5)
if (innov != nullptr) {
matrix::Matrix<Scalar, 3, 1>& _innov = (*innov);
_innov(0, 0) = -Scalar(9.8066499999999994) * _tmp4 - _tmp5 * meas(0, 0);
_innov(1, 0) = -_tmp5 * meas(1, 0) - Scalar(9.8066499999999994) * _tmp8;
_innov(2, 0) = Scalar(19.613299999999999) * _tmp10 - _tmp5 * meas(2, 0) +
Scalar(19.613299999999999) * _tmp9 + Scalar(-9.8066499999999994);
}
if (innov_var != nullptr) {
matrix::Matrix<Scalar, 3, 1>& _innov_var = (*innov_var);
_innov_var(0, 0) = _tmp17;
_innov_var(1, 0) = _tmp22;
_innov_var(2, 0) = _tmp27;
}
if (Kx != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _kx = (*Kx);
_kx(0, 0) = _tmp28 * (P(0, 1) * _tmp13 + P(0, 2) * _tmp14);
_kx(1, 0) = _tmp28 * (P(1, 2) * _tmp14 + _tmp16);
_kx(2, 0) = _tmp28 * (P(2, 1) * _tmp13 + _tmp15);
_kx(3, 0) = _tmp28 * (P(3, 1) * _tmp13 + P(3, 2) * _tmp14);
_kx(4, 0) = _tmp28 * (P(4, 1) * _tmp13 + P(4, 2) * _tmp14);
_kx(5, 0) = _tmp28 * (P(5, 1) * _tmp13 + P(5, 2) * _tmp14);
_kx(6, 0) = _tmp28 * (P(6, 1) * _tmp13 + P(6, 2) * _tmp14);
_kx(7, 0) = _tmp28 * (P(7, 1) * _tmp13 + P(7, 2) * _tmp14);
_kx(8, 0) = _tmp28 * (P(8, 1) * _tmp13 + P(8, 2) * _tmp14);
_kx(9, 0) = _tmp28 * (P(9, 1) * _tmp13 + P(9, 2) * _tmp14);
_kx(10, 0) = _tmp28 * (P(10, 1) * _tmp13 + P(10, 2) * _tmp14);
_kx(11, 0) = _tmp28 * (P(11, 1) * _tmp13 + P(11, 2) * _tmp14);
_kx(12, 0) = _tmp28 * (P(12, 1) * _tmp13 + P(12, 2) * _tmp14);
_kx(13, 0) = _tmp28 * (P(13, 1) * _tmp13 + P(13, 2) * _tmp14);
_kx(14, 0) = _tmp28 * (P(14, 1) * _tmp13 + P(14, 2) * _tmp14);
_kx(15, 0) = _tmp28 * (P(15, 1) * _tmp13 + P(15, 2) * _tmp14);
_kx(16, 0) = _tmp28 * (P(16, 1) * _tmp13 + P(16, 2) * _tmp14);
_kx(17, 0) = _tmp28 * (P(17, 1) * _tmp13 + P(17, 2) * _tmp14);
_kx(18, 0) = _tmp28 * (P(18, 1) * _tmp13 + P(18, 2) * _tmp14);
_kx(19, 0) = _tmp28 * (P(19, 1) * _tmp13 + P(19, 2) * _tmp14);
_kx(20, 0) = _tmp28 * (P(20, 1) * _tmp13 + P(20, 2) * _tmp14);
_kx(21, 0) = _tmp28 * (P(21, 1) * _tmp13 + P(21, 2) * _tmp14);
_kx(22, 0) = _tmp28 * (P(22, 1) * _tmp13 + P(22, 2) * _tmp14);
}
if (Ky != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _ky = (*Ky);
_ky(0, 0) = _tmp29 * (P(0, 2) * _tmp19 + _tmp21);
_ky(1, 0) = _tmp29 * (P(1, 0) * _tmp18 + P(1, 2) * _tmp19);
_ky(2, 0) = _tmp29 * (P(2, 0) * _tmp18 + _tmp20);
_ky(3, 0) = _tmp29 * (P(3, 0) * _tmp18 + P(3, 2) * _tmp19);
_ky(4, 0) = _tmp29 * (P(4, 0) * _tmp18 + P(4, 2) * _tmp19);
_ky(5, 0) = _tmp29 * (P(5, 0) * _tmp18 + P(5, 2) * _tmp19);
_ky(6, 0) = _tmp29 * (P(6, 0) * _tmp18 + P(6, 2) * _tmp19);
_ky(7, 0) = _tmp29 * (P(7, 0) * _tmp18 + P(7, 2) * _tmp19);
_ky(8, 0) = _tmp29 * (P(8, 0) * _tmp18 + P(8, 2) * _tmp19);
_ky(9, 0) = _tmp29 * (P(9, 0) * _tmp18 + P(9, 2) * _tmp19);
_ky(10, 0) = _tmp29 * (P(10, 0) * _tmp18 + P(10, 2) * _tmp19);
_ky(11, 0) = _tmp29 * (P(11, 0) * _tmp18 + P(11, 2) * _tmp19);
_ky(12, 0) = _tmp29 * (P(12, 0) * _tmp18 + P(12, 2) * _tmp19);
_ky(13, 0) = _tmp29 * (P(13, 0) * _tmp18 + P(13, 2) * _tmp19);
_ky(14, 0) = _tmp29 * (P(14, 0) * _tmp18 + P(14, 2) * _tmp19);
_ky(15, 0) = _tmp29 * (P(15, 0) * _tmp18 + P(15, 2) * _tmp19);
_ky(16, 0) = _tmp29 * (P(16, 0) * _tmp18 + P(16, 2) * _tmp19);
_ky(17, 0) = _tmp29 * (P(17, 0) * _tmp18 + P(17, 2) * _tmp19);
_ky(18, 0) = _tmp29 * (P(18, 0) * _tmp18 + P(18, 2) * _tmp19);
_ky(19, 0) = _tmp29 * (P(19, 0) * _tmp18 + P(19, 2) * _tmp19);
_ky(20, 0) = _tmp29 * (P(20, 0) * _tmp18 + P(20, 2) * _tmp19);
_ky(21, 0) = _tmp29 * (P(21, 0) * _tmp18 + P(21, 2) * _tmp19);
_ky(22, 0) = _tmp29 * (P(22, 0) * _tmp18 + P(22, 2) * _tmp19);
}
if (Kz != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _kz = (*Kz);
_kz(0, 0) = _tmp30 * (P(0, 1) * _tmp24 + _tmp26);
_kz(1, 0) = _tmp30 * (P(1, 0) * _tmp23 + _tmp25);
_kz(2, 0) = _tmp30 * (P(2, 0) * _tmp23 + P(2, 1) * _tmp24);
_kz(3, 0) = _tmp30 * (P(3, 0) * _tmp23 + P(3, 1) * _tmp24);
_kz(4, 0) = _tmp30 * (P(4, 0) * _tmp23 + P(4, 1) * _tmp24);
_kz(5, 0) = _tmp30 * (P(5, 0) * _tmp23 + P(5, 1) * _tmp24);
_kz(6, 0) = _tmp30 * (P(6, 0) * _tmp23 + P(6, 1) * _tmp24);
_kz(7, 0) = _tmp30 * (P(7, 0) * _tmp23 + P(7, 1) * _tmp24);
_kz(8, 0) = _tmp30 * (P(8, 0) * _tmp23 + P(8, 1) * _tmp24);
_kz(9, 0) = _tmp30 * (P(9, 0) * _tmp23 + P(9, 1) * _tmp24);
_kz(10, 0) = _tmp30 * (P(10, 0) * _tmp23 + P(10, 1) * _tmp24);
_kz(11, 0) = _tmp30 * (P(11, 0) * _tmp23 + P(11, 1) * _tmp24);
_kz(12, 0) = _tmp30 * (P(12, 0) * _tmp23 + P(12, 1) * _tmp24);
_kz(13, 0) = _tmp30 * (P(13, 0) * _tmp23 + P(13, 1) * _tmp24);
_kz(14, 0) = _tmp30 * (P(14, 0) * _tmp23 + P(14, 1) * _tmp24);
_kz(15, 0) = _tmp30 * (P(15, 0) * _tmp23 + P(15, 1) * _tmp24);
_kz(16, 0) = _tmp30 * (P(16, 0) * _tmp23 + P(16, 1) * _tmp24);
_kz(17, 0) = _tmp30 * (P(17, 0) * _tmp23 + P(17, 1) * _tmp24);
_kz(18, 0) = _tmp30 * (P(18, 0) * _tmp23 + P(18, 1) * _tmp24);
_kz(19, 0) = _tmp30 * (P(19, 0) * _tmp23 + P(19, 1) * _tmp24);
_kz(20, 0) = _tmp30 * (P(20, 0) * _tmp23 + P(20, 1) * _tmp24);
_kz(21, 0) = _tmp30 * (P(21, 0) * _tmp23 + P(21, 1) * _tmp24);
_kz(22, 0) = _tmp30 * (P(22, 0) * _tmp23 + P(22, 1) * _tmp24);
}
} // NOLINT(readability/fn_size)
// NOLINTNEXTLINE(readability/fn_size)
} // namespace sym
@@ -0,0 +1,77 @@
// -----------------------------------------------------------------------------
// This file was autogenerated by symforce from template:
// function/FUNCTION.h.jinja
// Do NOT modify by hand.
// -----------------------------------------------------------------------------
#pragma once
#include <matrix/math.hpp>
namespace sym {
/**
* This function was autogenerated from a symbolic function. Do not modify by hand.
*
* Symbolic function: compute_gravity_xyz_innov_var_and_hx
*
* Args:
* state: Matrix24_1
* P: Matrix23_23
* R: Scalar
*
* Outputs:
* innov_var: Matrix31
* Hx: Matrix23_1
*/
template <typename Scalar>
void ComputeGravityXyzInnovVarAndHx(const matrix::Matrix<Scalar, 24, 1>& state,
const matrix::Matrix<Scalar, 23, 23>& P, const Scalar R,
matrix::Matrix<Scalar, 3, 1>* const innov_var = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Hx = nullptr) {
// Total ops: 51
// Input arrays
// Intermediate terms (16)
const Scalar _tmp0 = std::pow(state(3, 0), Scalar(2));
const Scalar _tmp1 = std::pow(state(0, 0), Scalar(2));
const Scalar _tmp2 = std::pow(state(2, 0), Scalar(2));
const Scalar _tmp3 = std::pow(state(1, 0), Scalar(2));
const Scalar _tmp4 = _tmp0 + _tmp1 - _tmp2 - _tmp3;
const Scalar _tmp5 = 2 * state(2, 0);
const Scalar _tmp6 = _tmp5 * state(3, 0);
const Scalar _tmp7 = 2 * state(1, 0);
const Scalar _tmp8 = _tmp7 * state(0, 0);
const Scalar _tmp9 = -_tmp6 - _tmp8;
const Scalar _tmp10 = -_tmp0 - _tmp1 + _tmp2 + _tmp3;
const Scalar _tmp11 = _tmp5 * state(0, 0);
const Scalar _tmp12 = _tmp7 * state(3, 0);
const Scalar _tmp13 = -_tmp11 + _tmp12;
const Scalar _tmp14 = _tmp6 + _tmp8;
const Scalar _tmp15 = _tmp11 - _tmp12;
// Output terms (2)
if (innov_var != nullptr) {
matrix::Matrix<Scalar, 3, 1>& _innov_var = (*innov_var);
_innov_var(0, 0) = R + _tmp4 * (P(1, 1) * _tmp4 + P(2, 1) * _tmp9) +
_tmp9 * (P(1, 2) * _tmp4 + P(2, 2) * _tmp9);
_innov_var(1, 0) = R + _tmp10 * (P(0, 0) * _tmp10 + P(2, 0) * _tmp13) +
_tmp13 * (P(0, 2) * _tmp10 + P(2, 2) * _tmp13);
_innov_var(2, 0) = R + _tmp14 * (P(0, 0) * _tmp14 + P(1, 0) * _tmp15) +
_tmp15 * (P(0, 1) * _tmp14 + P(1, 1) * _tmp15);
}
if (Hx != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _hx = (*Hx);
_hx.setZero();
_hx(1, 0) = _tmp4;
_hx(2, 0) = _tmp9;
}
} // NOLINT(readability/fn_size)
// NOLINTNEXTLINE(readability/fn_size)
} // namespace sym
@@ -0,0 +1,60 @@
// -----------------------------------------------------------------------------
// This file was autogenerated by symforce from template:
// function/FUNCTION.h.jinja
// Do NOT modify by hand.
// -----------------------------------------------------------------------------
#pragma once
#include <matrix/math.hpp>
namespace sym {
/**
* This function was autogenerated from a symbolic function. Do not modify by hand.
*
* Symbolic function: compute_gravity_y_innov_var_and_h
*
* Args:
* state: Matrix24_1
* P: Matrix23_23
* R: Scalar
*
* Outputs:
* innov_var: Scalar
* Hy: Matrix23_1
*/
template <typename Scalar>
void ComputeGravityYInnovVarAndH(const matrix::Matrix<Scalar, 24, 1>& state,
const matrix::Matrix<Scalar, 23, 23>& P, const Scalar R,
Scalar* const innov_var = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Hy = nullptr) {
// Total ops: 22
// Input arrays
// Intermediate terms (2)
const Scalar _tmp0 = -std::pow(state(0, 0), Scalar(2)) + std::pow(state(1, 0), Scalar(2)) +
std::pow(state(2, 0), Scalar(2)) - std::pow(state(3, 0), Scalar(2));
const Scalar _tmp1 = -2 * state(0, 0) * state(2, 0) + 2 * state(1, 0) * state(3, 0);
// Output terms (2)
if (innov_var != nullptr) {
Scalar& _innov_var = (*innov_var);
_innov_var = R + _tmp0 * (P(0, 0) * _tmp0 + P(2, 0) * _tmp1) +
_tmp1 * (P(0, 2) * _tmp0 + P(2, 2) * _tmp1);
}
if (Hy != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _hy = (*Hy);
_hy.setZero();
_hy(0, 0) = _tmp0;
_hy(2, 0) = _tmp1;
}
} // NOLINT(readability/fn_size)
// NOLINTNEXTLINE(readability/fn_size)
} // namespace sym
@@ -0,0 +1,61 @@
// -----------------------------------------------------------------------------
// This file was autogenerated by symforce from template:
// function/FUNCTION.h.jinja
// Do NOT modify by hand.
// -----------------------------------------------------------------------------
#pragma once
#include <matrix/math.hpp>
namespace sym {
/**
* This function was autogenerated from a symbolic function. Do not modify by hand.
*
* Symbolic function: compute_gravity_z_innov_var_and_h
*
* Args:
* state: Matrix24_1
* P: Matrix23_23
* R: Scalar
*
* Outputs:
* innov_var: Scalar
* Hz: Matrix23_1
*/
template <typename Scalar>
void ComputeGravityZInnovVarAndH(const matrix::Matrix<Scalar, 24, 1>& state,
const matrix::Matrix<Scalar, 23, 23>& P, const Scalar R,
Scalar* const innov_var = nullptr,
matrix::Matrix<Scalar, 23, 1>* const Hz = nullptr) {
// Total ops: 18
// Input arrays
// Intermediate terms (4)
const Scalar _tmp0 = 2 * state(2, 0);
const Scalar _tmp1 = 2 * state(1, 0);
const Scalar _tmp2 = _tmp0 * state(3, 0) + _tmp1 * state(0, 0);
const Scalar _tmp3 = _tmp0 * state(0, 0) - _tmp1 * state(3, 0);
// Output terms (2)
if (innov_var != nullptr) {
Scalar& _innov_var = (*innov_var);
_innov_var = R + _tmp2 * (P(0, 0) * _tmp2 + P(1, 0) * _tmp3) +
_tmp3 * (P(0, 1) * _tmp2 + P(1, 1) * _tmp3);
}
if (Hz != nullptr) {
matrix::Matrix<Scalar, 23, 1>& _hz = (*Hz);
_hz.setZero();
_hz(0, 0) = _tmp2;
_hz(1, 0) = _tmp3;
}
} // NOLINT(readability/fn_size)
// NOLINTNEXTLINE(readability/fn_size)
} // namespace sym