Struct SymmetricEigen2

pub struct SymmetricEigen2 {
    pub eigenvalues: Vec2,
    pub eigenvectors: Mat2,
}

The eigen decomposition of a SymmetricMat2.

Fields

eigenvalues: Vec2

The eigenvalues of the SymmetricMat2.

These should be in ascending order eigen1 <= eigen2.

eigenvectors: Mat2

The eigenvectors of the SymmetricMat2. They should be unit length and orthogonal to each other.

The eigenvectors are ordered to correspond to the eigenvalues. For example, eigenvectors.x_axis corresponds to eigenvalues.x.

Implementations

impl SymmetricEigen2

pub fn new(mat: SymmetricMat2) -> Self

Computes the eigen decomposition of the given SymmetricMat2.

The eigenvalues are returned in ascending order eigen1 <= eigen2. This can be reversed with the reverse method.

pub fn reverse(&self) -> Self

Reverses the order of the eigenvalues and their corresponding eigenvectors.

pub fn eigenvalues(mat: SymmetricMat2) -> Vec2

Computes the eigenvalues of a SymmetricMat2.

Reference: https://croninprojects.org/Vince/Geodesy/FindingEigenvectors.pdf

pub fn eigenvector(mat: SymmetricMat2, eigenvalue: f32) -> Vec2

Computes the unit-length eigenvector corresponding to the given eigenvalue of the symmetric 2x2 mat.

Reference: https://croninprojects.org/Vince/Geodesy/FindingEigenvectors.pdf

Trait Implementations

impl Clone for SymmetricEigen2

fn clone(&self) -> SymmetricEigen2

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for SymmetricEigen2

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PartialEq for SymmetricEigen2

fn eq(&self, other: &SymmetricEigen2) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Copy for SymmetricEigen2

impl StructuralPartialEq for SymmetricEigen2