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https://gitee.com/mirrors_PX4/PX4-Autopilot.git
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attitude_estimator_q added
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@@ -135,6 +135,24 @@ public:
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}
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#endif
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/**
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* set row from vector
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*/
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void set_row(unsigned int row, const Vector<N> v) {
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for (unsigned i = 0; i < N; i++) {
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data[row][i] = v.data[i];
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}
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}
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/**
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* set column from vector
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*/
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void set_col(unsigned int col, const Vector<M> v) {
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for (unsigned i = 0; i < M; i++) {
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data[i][col] = v.data[i];
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}
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}
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/**
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* access by index
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*/
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@@ -93,6 +93,19 @@ public:
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data[0] * q.data[3] + data[1] * q.data[2] - data[2] * q.data[1] + data[3] * q.data[0]);
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}
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/**
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* division
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*/
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Quaternion operator /(const Quaternion &q) const {
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float norm = q.length_squared();
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return Quaternion(
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( data[0] * q.data[0] + data[1] * q.data[1] + data[2] * q.data[2] + data[3] * q.data[3]) / norm,
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(- data[0] * q.data[1] + data[1] * q.data[0] - data[2] * q.data[3] + data[3] * q.data[2]) / norm,
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(- data[0] * q.data[2] + data[1] * q.data[3] + data[2] * q.data[0] - data[3] * q.data[1]) / norm,
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(- data[0] * q.data[3] - data[1] * q.data[2] + data[2] * q.data[1] + data[3] * q.data[0]) / norm
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);
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}
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/**
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* derivative
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*/
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@@ -108,6 +121,69 @@ public:
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return Q * v * 0.5f;
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}
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/**
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* conjugate
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*/
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Quaternion conjugated() const {
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return Quaternion(data[0], -data[1], -data[2], -data[3]);
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}
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/**
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* inversed
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*/
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Quaternion inversed() const {
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float norm = length_squared();
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return Quaternion(data[0] / norm, -data[1] / norm, -data[2] / norm, -data[3] / norm);
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}
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/**
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* conjugation
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*/
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Vector<3> conjugate(const Vector<3> &v) const {
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float q0q0 = data[0] * data[0];
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float q1q1 = data[1] * data[1];
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float q2q2 = data[2] * data[2];
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float q3q3 = data[3] * data[3];
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return Vector<3>(
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v.data[0] * (q0q0 + q1q1 - q2q2 - q3q3) +
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v.data[1] * 2.0f * (data[1] * data[2] - data[0] * data[3]) +
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v.data[2] * 2.0f * (data[0] * data[2] + data[1] * data[3]),
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v.data[0] * 2.0f * (data[1] * data[2] + data[0] * data[3]) +
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v.data[1] * (q0q0 - q1q1 + q2q2 - q3q3) +
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v.data[2] * 2.0f * (data[2] * data[3] - data[0] * data[1]),
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v.data[0] * 2.0f * (data[1] * data[3] - data[0] * data[2]) +
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v.data[1] * 2.0f * (data[0] * data[1] + data[2] * data[3]) +
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v.data[2] * (q0q0 - q1q1 - q2q2 + q3q3)
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);
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}
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/**
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* conjugation with inversed quaternion
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*/
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Vector<3> conjugate_inversed(const Vector<3> &v) const {
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float q0q0 = data[0] * data[0];
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float q1q1 = data[1] * data[1];
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float q2q2 = data[2] * data[2];
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float q3q3 = data[3] * data[3];
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return Vector<3>(
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v.data[0] * (q0q0 + q1q1 - q2q2 - q3q3) +
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v.data[1] * 2.0f * (data[1] * data[2] + data[0] * data[3]) +
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v.data[2] * 2.0f * (data[1] * data[3] - data[0] * data[2]),
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v.data[0] * 2.0f * (data[1] * data[2] - data[0] * data[3]) +
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v.data[1] * (q0q0 - q1q1 + q2q2 - q3q3) +
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v.data[2] * 2.0f * (data[2] * data[3] + data[0] * data[1]),
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v.data[0] * 2.0f * (data[1] * data[3] + data[0] * data[2]) +
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v.data[1] * 2.0f * (data[2] * data[3] - data[0] * data[1]) +
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v.data[2] * (q0q0 - q1q1 - q2q2 + q3q3)
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);
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}
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/**
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* imaginary part of quaternion
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*/
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@@ -115,35 +191,6 @@ public:
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return Vector<3>(&data[1]);
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}
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/**
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* inverse of quaternion
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*/
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math::Quaternion inverse() {
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Quaternion res;
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memcpy(res.data,data,sizeof(res.data));
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res.data[1] = -res.data[1];
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res.data[2] = -res.data[2];
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res.data[3] = -res.data[3];
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return res;
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}
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/**
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* rotate vector by quaternion
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*/
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Vector<3> rotate(const Vector<3> &w) {
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Quaternion q_w; // extend vector to quaternion
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Quaternion q = {data[0],data[1],data[2],data[3]};
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Quaternion q_rotated; // quaternion representation of rotated vector
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q_w(0) = 0;
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q_w(1) = w.data[0];
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q_w(2) = w.data[1];
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q_w(3) = w.data[2];
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q_rotated = q*q_w*q.inverse();
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Vector<3> res = {q_rotated.data[1],q_rotated.data[2],q_rotated.data[3]};
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return res;
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}
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/**
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* set quaternion to rotation defined by euler angles
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*/
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@@ -164,6 +211,17 @@ public:
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data[3] = static_cast<float>(cosPhi_2 * cosTheta_2 * sinPsi_2 - sinPhi_2 * sinTheta_2 * cosPsi_2);
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}
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/**
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* create Euler angles vector from the quaternion
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*/
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Vector<3> to_euler() const {
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return Vector<3>(
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atan2(2.0f * (data[0] * data[1] + data[2] * data[3]), 1.0f - 2.0f * (data[1] * data[1] + data[2] * data[2])),
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asin(2.0f * (data[0] * data[2] - data[3] * data[1])),
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atan2(2.0f * (data[0] * data[3] + data[1] * data[2]), 1.0f - 2.0f * (data[2] * data[2] + data[3] * data[3]))
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);
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}
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/**
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* set quaternion to rotation by DCM
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* Reference: Shoemake, Quaternions, http://www.cs.ucr.edu/~vbz/resources/quatut.pdf
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