Struct iron_shapes::matrix2d::Matrix2d

pub struct Matrix2d<T: CoordinateType> {
    pub(crate) m11: T,
    pub(crate) m12: T,
    pub(crate) m21: T,
    pub(crate) m22: T,
}

A 2x2 matrix of the form:

[[ m11, m12 ],
 [ m21, m22 ]]

Fields

m11: T

m11

m12: T

m12

m21: T

m21

m22: T

m22

Implementations

impl<T> Matrix2d<T>where T: CoordinateType,

pub fn new(m11: T, m12: T, m21: T, m22: T) -> Self

Create a new 2x2 matrix with entries of the form:

[[ m11, m12 ],
 [ m21, m22 ]]

pub fn identity() -> Self

Return the identity matrix.

pub fn mul_scalar(&self, rhs: T) -> Self

Compute product of the matrix with a scalar.

pub fn mul_column_vector(&self, rhs: Vector<T>) -> Vector<T>

Compute matrix-column-vector multiplication. The vector is interpreted as column vector.

pub fn mul_matrix(&self, rhs: &Self) -> Self

Matrix-matrix multiplication.

pub fn transpose(&self) -> Self

Compute the transpose of the matrix.

pub fn determinant(&self) -> T

Compute the determinant of this matrix.

pub fn is_identity(&self) -> bool

Test if this matrix is the identity matrix.

pub fn is_unitary(&self) -> bool

Test if this matrix is unitary.

pub fn try_inverse(&self) -> Option<Self>

Compute the inverse matrix. None will be returned if the determinant is zero and the matrix is not invertible.

Trait Implementations

impl<T: Clone + CoordinateType> Clone for Matrix2d<T>

fn clone(&self) -> Matrix2d<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Debug + CoordinateType> Debug for Matrix2d<T>

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

Formats the value using the given formatter.

impl<T: CoordinateType> Default for Matrix2d<T>

fn default() -> Self

Returns the “default value” for a type.

impl<'de, T> Deserialize<'de> for Matrix2d<T>where T: Deserialize<'de> + CoordinateType,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<T: Hash + CoordinateType> Hash for Matrix2d<T>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T: PartialEq + CoordinateType> PartialEq<Matrix2d<T>> for Matrix2d<T>

fn eq(&self, other: &Matrix2d<T>) -> bool

This method tests for self and other values to be equal, and is used by ==.

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

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

impl<T> Serialize for Matrix2d<T>where T: Serialize + CoordinateType,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<T: Eq + CoordinateType> Eq for Matrix2d<T>

impl<T: CoordinateType> StructuralEq for Matrix2d<T>

impl<T: CoordinateType> StructuralPartialEq for Matrix2d<T>