forked from M-Labs/nalgebra
Changed name. Changed argument. Added documentation line.
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@ -677,7 +677,10 @@ impl<N: RealField> UnitQuaternion<N> {
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Self::new_eps(axisangle, eps)
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Self::new_eps(axisangle, eps)
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}
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}
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/// Create the mean unit quaternion from a vector of unit quaternions.
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/// Create the mean unit quaternion from a data structure implementing IntoIterator
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/// returning unit quaternions.
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///
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/// The method will panic if the iterator does not return any quaternions.
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///
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///
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/// Algorithm from: Oshman, Yaakov, and Avishy Carmi. "Attitude estimation from vector
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/// Algorithm from: Oshman, Yaakov, and Avishy Carmi. "Attitude estimation from vector
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/// observations using a genetic-algorithm-embedded quaternion particle filter." Journal of
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/// observations using a genetic-algorithm-embedded quaternion particle filter." Journal of
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@ -693,22 +696,23 @@ impl<N: RealField> UnitQuaternion<N> {
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/// let q3 = UnitQuaternion::from_euler_angles(0.1, 0.0, 0.0);
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/// let q3 = UnitQuaternion::from_euler_angles(0.1, 0.0, 0.0);
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///
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///
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/// let quat_vec = vec![q1, q2, q3];
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/// let quat_vec = vec![q1, q2, q3];
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/// let q_mean = UnitQuaternion::quaternions_mean(&quat_vec);
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/// let q_mean = UnitQuaternion::mean_of(zero_vec);
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///
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///
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/// let euler_angles_mean = q_mean.euler_angles();
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/// let euler_angles_mean = q_mean.euler_angles();
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/// assert_relative_eq!(euler_angles_mean.0, 0.0, epsilon = 1.0e-7)
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/// assert_relative_eq!(euler_angles_mean.0, 0.0, epsilon = 1.0e-7)
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/// ```
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/// ```
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#[inline]
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#[inline]
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pub fn quaternions_mean(unit_quaternions: &Vec<Self>) -> Self {
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pub fn mean_of(unit_quaternions: impl IntoIterator<Item = Self>) -> Self {
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assert!(unit_quaternions.len() > 0);
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let quaternions_matrix: Matrix4<N> = unit_quaternions
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let quaternions_matrix: Matrix4<N> = unit_quaternions
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.iter()
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.into_iter()
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.map(|q| q.as_vector() * q.as_vector().transpose())
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.map(|q| q.as_vector() * q.as_vector().transpose())
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.sum();
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.sum();
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assert!(!quaternions_matrix.is_zero());
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let eigen_matrix = quaternions_matrix
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let eigen_matrix = quaternions_matrix
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.try_symmetric_eigen(N::RealField::default_epsilon(), 10)
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.try_symmetric_eigen(N::RealField::default_epsilon(), 10)
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.expect("Could not perform eigen decomposition when averaging quaternions.");
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.expect("Quaternions matrix could not be diagonalized. This behavior should not be possible.");
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let max_eigenvalue_index = eigen_matrix
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let max_eigenvalue_index = eigen_matrix
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.eigenvalues
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.eigenvalues
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