Struct SymmetricEigen2 

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

The eigen decomposition of a symmetric 2x2 matrix (f32 precision).

Fields

eigenvalues: Vec2

The eigenvalues of the symmetric 2x2 matrix.

eigenvectors: Mat2

The two eigenvectors of the symmetric 2x2 matrix (as columns).

Implementations

impl SymmetricEigen2

pub fn new(mat: Mat2) -> Self

Computes the eigen decomposition of the given symmetric 2x2 matrix.

The eigenvalues are returned in descending 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: Mat2) -> Vec2

Computes the eigenvalues of a symmetric 2x2 matrix.

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

pub fn eigenvector(mat: Mat2, 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 From<DSymmetricEigen2> for SymmetricEigen2

fn from(e: DSymmetricEigen2) -> Self

Converts to this type from the input type.

impl From<SymmetricEigen2> for DSymmetricEigen2

fn from(e: SymmetricEigen2) -> Self

Converts to this type from the input type.

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