Struct vecmat::transform::Linear

#[repr(transparent)]
pub struct Linear<T, const N: usize> { /* fields omitted */ }

Linear transformation.

Implementations

impl<T, const N: usize> Linear<T, N>

pub fn from_matrix(lin: Matrix<T, N, N>) -> Self

pub fn into_matrix(self) -> Matrix<T, N, N>

impl<T, const N: usize> Linear<T, N> where
    T: Neg<Output = T> + Num + Copy,
    Matrix<T, N, N>: Inv<Output = Matrix<T, N, N>>, 

pub fn normal_transform(self) -> Self

impl<T> Linear<T, 3> where
    T: Float, 

pub fn look_at(dir: Vector<T, 3>, up: Vector<T, 3>) -> Self

Returns the transformation that rotates -z-axis to dir and y-axis to up.

impl<T> Linear<T, 3> where
    T: Float + NumCast, 

pub fn look_at_any(dir: Vector<T, 3>) -> Self

Returns any of transformations that rotate dir to -z-axis.

Trait Implementations

impl<T, const N: usize> AbsDiffEq<Linear<T, N>> for Linear<T, N> where
    T: AbsDiffEq<Epsilon = T> + Copy, 

type Epsilon = T

Used for specifying relative comparisons.

fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together.

fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<T: Clone, const N: usize> Clone for Linear<T, N>

fn clone(&self) -> Linear<T, N>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Debug, const N: usize> Debug for Linear<T, N>

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

Formats the value using the given formatter.

impl<T, const N: usize> Directional<Vector<T, N>> for Linear<T, N> where
    Self: Transform<Vector<T, N>>,
    T: Neg<Output = T> + Num + Copy,
    Vector<T, N>: Normalize,
    Matrix<T, N, N>: Inv<Output = Matrix<T, N, N>>, 

fn apply_dir(&self, pos: Vector<T, N>, dir: Vector<T, N>) -> Vector<T, N>

Returns the result of the direction transformation at the specified position.

fn apply_normal(&self, _: Vector<T, N>, normal: Vector<T, N>) -> Vector<T, N>

Returns the result of the normal transformation at the specified position.

impl<T, const N: usize> Distribution<Linear<T, N>> for Normal where
    Normal: Distribution<Matrix<T, N, N>>, 

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Linear<T, N>

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
    R: Rng, 

Create an iterator that generates random values of T, using rng as the source of randomness.

impl<T, const N: usize> Distribution<Linear<T, N>> for Invertible where
    Invertible: Distribution<Matrix<T, N, N>>, 

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Linear<T, N>

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
    R: Rng, 

Create an iterator that generates random values of T, using rng as the source of randomness.

impl<T, const N: usize> From<Linear<T, N>> for Matrix<T, N, N>

fn from(lin: Linear<T, N>) -> Matrix<T, N, N>

Performs the conversion.

impl<T, const N: usize> From<Matrix<T, N, N>> for Linear<T, N>

fn from(lin: Matrix<T, N, N>) -> Self

Performs the conversion.

impl<T: PartialEq, const N: usize> PartialEq<Linear<T, N>> for Linear<T, N>

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

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

fn ne(&self, other: &Linear<T, N>) -> bool

This method tests for !=.

impl<T, const N: usize> Reorder<Linear<T, N>, Vector<T, N>> for Shift<T, N> where
    Linear<T, N>: Transform<Vector<T, N>> + Copy,
    Self: Transform<Vector<T, N>>, 

fn reorder(self, other: Linear<T, N>) -> (Linear<T, N>, Shift<T, N>)

For given A and B returns B' and A'.

impl<T, const N: usize> Reorder<Shift<T, N>, Vector<T, N>> for Linear<T, N> where
    Self: Transform<Vector<T, N>>,
    Shift<T, N>: Transform<Vector<T, N>>, 

fn reorder(self, other: Shift<T, N>) -> (Shift<T, N>, Linear<T, N>)

For given A and B returns B' and A'.

impl<T, const N: usize> Transform<Vector<T, N>> for Linear<T, N> where
    T: Neg<Output = T> + Num + Copy, 

fn identity() -> Self

Identity transformation.

fn inv(self) -> Self

Inverse transformation.

fn apply(&self, pos: Vector<T, N>) -> Vector<T, N>

Perform the transformation itself.

fn deriv(&self, _pos: Vector<T, N>, dir: Vector<T, N>) -> Vector<T, N>

Find transformation directional derivative at specified point.

fn chain(self, other: Self) -> Self

Chain two transformations into a new one.

impl<T: Copy, const N: usize> Copy for Linear<T, N>

impl<T, const N: usize> StructuralPartialEq for Linear<T, N>