attitude_estimator_q added

This commit is contained in:
Anton Babushkin
2015-04-12 01:47:48 +02:00
parent d4ae721bc0
commit dc2bb2a85e
7 changed files with 661 additions and 30 deletions
+18
View File
@@ -135,6 +135,24 @@ public:
}
#endif
/**
* set row from vector
*/
void set_row(unsigned int row, const Vector<N> v) {
for (unsigned i = 0; i < N; i++) {
data[row][i] = v.data[i];
}
}
/**
* set column from vector
*/
void set_col(unsigned int col, const Vector<M> v) {
for (unsigned i = 0; i < M; i++) {
data[i][col] = v.data[i];
}
}
/**
* access by index
*/
+87 -29
View File
@@ -93,6 +93,19 @@ public:
data[0] * q.data[3] + data[1] * q.data[2] - data[2] * q.data[1] + data[3] * q.data[0]);
}
/**
* division
*/
Quaternion operator /(const Quaternion &q) const {
float norm = q.length_squared();
return Quaternion(
( data[0] * q.data[0] + data[1] * q.data[1] + data[2] * q.data[2] + data[3] * q.data[3]) / norm,
(- data[0] * q.data[1] + data[1] * q.data[0] - data[2] * q.data[3] + data[3] * q.data[2]) / norm,
(- data[0] * q.data[2] + data[1] * q.data[3] + data[2] * q.data[0] - data[3] * q.data[1]) / norm,
(- data[0] * q.data[3] - data[1] * q.data[2] + data[2] * q.data[1] + data[3] * q.data[0]) / norm
);
}
/**
* derivative
*/
@@ -108,6 +121,69 @@ public:
return Q * v * 0.5f;
}
/**
* conjugate
*/
Quaternion conjugated() const {
return Quaternion(data[0], -data[1], -data[2], -data[3]);
}
/**
* inversed
*/
Quaternion inversed() const {
float norm = length_squared();
return Quaternion(data[0] / norm, -data[1] / norm, -data[2] / norm, -data[3] / norm);
}
/**
* conjugation
*/
Vector<3> conjugate(const Vector<3> &v) const {
float q0q0 = data[0] * data[0];
float q1q1 = data[1] * data[1];
float q2q2 = data[2] * data[2];
float q3q3 = data[3] * data[3];
return Vector<3>(
v.data[0] * (q0q0 + q1q1 - q2q2 - q3q3) +
v.data[1] * 2.0f * (data[1] * data[2] - data[0] * data[3]) +
v.data[2] * 2.0f * (data[0] * data[2] + data[1] * data[3]),
v.data[0] * 2.0f * (data[1] * data[2] + data[0] * data[3]) +
v.data[1] * (q0q0 - q1q1 + q2q2 - q3q3) +
v.data[2] * 2.0f * (data[2] * data[3] - data[0] * data[1]),
v.data[0] * 2.0f * (data[1] * data[3] - data[0] * data[2]) +
v.data[1] * 2.0f * (data[0] * data[1] + data[2] * data[3]) +
v.data[2] * (q0q0 - q1q1 - q2q2 + q3q3)
);
}
/**
* conjugation with inversed quaternion
*/
Vector<3> conjugate_inversed(const Vector<3> &v) const {
float q0q0 = data[0] * data[0];
float q1q1 = data[1] * data[1];
float q2q2 = data[2] * data[2];
float q3q3 = data[3] * data[3];
return Vector<3>(
v.data[0] * (q0q0 + q1q1 - q2q2 - q3q3) +
v.data[1] * 2.0f * (data[1] * data[2] + data[0] * data[3]) +
v.data[2] * 2.0f * (data[1] * data[3] - data[0] * data[2]),
v.data[0] * 2.0f * (data[1] * data[2] - data[0] * data[3]) +
v.data[1] * (q0q0 - q1q1 + q2q2 - q3q3) +
v.data[2] * 2.0f * (data[2] * data[3] + data[0] * data[1]),
v.data[0] * 2.0f * (data[1] * data[3] + data[0] * data[2]) +
v.data[1] * 2.0f * (data[2] * data[3] - data[0] * data[1]) +
v.data[2] * (q0q0 - q1q1 - q2q2 + q3q3)
);
}
/**
* imaginary part of quaternion
*/
@@ -115,35 +191,6 @@ public:
return Vector<3>(&data[1]);
}
/**
* inverse of quaternion
*/
math::Quaternion inverse() {
Quaternion res;
memcpy(res.data,data,sizeof(res.data));
res.data[1] = -res.data[1];
res.data[2] = -res.data[2];
res.data[3] = -res.data[3];
return res;
}
/**
* rotate vector by quaternion
*/
Vector<3> rotate(const Vector<3> &w) {
Quaternion q_w; // extend vector to quaternion
Quaternion q = {data[0],data[1],data[2],data[3]};
Quaternion q_rotated; // quaternion representation of rotated vector
q_w(0) = 0;
q_w(1) = w.data[0];
q_w(2) = w.data[1];
q_w(3) = w.data[2];
q_rotated = q*q_w*q.inverse();
Vector<3> res = {q_rotated.data[1],q_rotated.data[2],q_rotated.data[3]};
return res;
}
/**
* set quaternion to rotation defined by euler angles
*/
@@ -164,6 +211,17 @@ public:
data[3] = static_cast<float>(cosPhi_2 * cosTheta_2 * sinPsi_2 - sinPhi_2 * sinTheta_2 * cosPsi_2);
}
/**
* create Euler angles vector from the quaternion
*/
Vector<3> to_euler() const {
return Vector<3>(
atan2(2.0f * (data[0] * data[1] + data[2] * data[3]), 1.0f - 2.0f * (data[1] * data[1] + data[2] * data[2])),
asin(2.0f * (data[0] * data[2] - data[3] * data[1])),
atan2(2.0f * (data[0] * data[3] + data[1] * data[2]), 1.0f - 2.0f * (data[2] * data[2] + data[3] * data[3]))
);
}
/**
* set quaternion to rotation by DCM
* Reference: Shoemake, Quaternions, http://www.cs.ucr.edu/~vbz/resources/quatut.pdf