Struct hcomplex::transform::Moebius

pub struct Moebius<U> { /* fields omitted */ }

Implementations

impl<U> Moebius<U>

pub fn new(a: U, b: U, c: U, d: U) -> Self

pub fn a_ref(&self) -> &U

pub fn b_ref(&self) -> &U

pub fn c_ref(&self) -> &U

pub fn d_ref(&self) -> &U

pub fn a_mut(&mut self) -> &mut U

pub fn b_mut(&mut self) -> &mut U

pub fn c_mut(&mut self) -> &mut U

pub fn d_mut(&mut self) -> &mut U

impl<U: Clone> Moebius<U>

pub fn a(&self) -> U

pub fn b(&self) -> U

pub fn c(&self) -> U

pub fn d(&self) -> U

impl<U: Neg<Output = U> + Mul<Output = U> + Div<Output = U> + Sub<Output = U> + Clone> Moebius<U>

pub fn det(&self) -> U

pub fn normalize(self) -> Self

Trait Implementations

impl<U> Chain<U> for Moebius<U> where
    U: Add<Output = U> + Mul<Output = U> + Div<Output = U> + Clone, 

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

impl<U: Clone> Clone for Moebius<U>

pub fn clone(&self) -> Moebius<U>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<U: Copy> Copy for Moebius<U>

impl<U: Debug> Debug for Moebius<U>

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

Formats the value using the given formatter.

impl<T: Algebra + Clone> Deriv<Construct<T, T>> for Moebius<Complex<T>>

pub fn deriv(&self, p: Complex<T>) -> Complex<T>

Find the derivative of self at the specified point p.

impl<T: NumCast + Algebra + Dot<Output = T> + Clone> DerivDir<Construct<T, Construct<T, T>>> for Moebius<Complex<T>>

pub fn deriv_dir(&self, p: Quaternion<T>, v: Quaternion<T>) -> Quaternion<T>

Find the directinal derivative of self at the specified point p via the specified direction d.

impl<T: Float + Algebra, U: NormSqr<Output = T> + Clone> Distribution<Moebius<Construct<T, U>>> for Normalized where
    StandardNormal: Distribution<Moebius<Construct<T, U>>>,
    Construct<T, U>: Algebra<T>, 

pub fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Moebius<Construct<T, U>>

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

pub 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<U> Distribution<Moebius<U>> for StandardNormal where
    StandardNormal: Distribution<U>, 

pub fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Moebius<U>

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

pub 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<U> From<[U; 4]> for Moebius<U>

pub fn from(array: [U; 4]) -> Self

Performs the conversion.

impl<U: Zero + One> Identity for Moebius<U>

pub fn identity() -> Self

Get an identity element.

impl<U> Into<[U; 4]> for Moebius<U>

pub fn into(self) -> [U; 4]

Performs the conversion.

impl<U: PartialEq> PartialEq<Moebius<U>> for Moebius<U>

pub fn eq(&self, other: &Moebius<U>) -> bool

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

pub fn ne(&self, other: &Moebius<U>) -> bool

This method tests for !=.

impl<U> StructuralPartialEq for Moebius<U>

impl<T: Algebra + Clone, U: Algebra<T> + Clone> Transform<Construct<T, Construct<T, U>>> for Moebius<Construct<T, U>>

pub fn apply(
    &self,
    x: Construct<T, Construct<T, U>>
) -> Construct<T, Construct<T, U>>

Apply the transformation.

impl<U> Transform<U> for Moebius<U> where
    U: Add<Output = U> + Mul<Output = U> + Div<Output = U> + Clone, 

pub fn apply(&self, x: U) -> U

Apply the transformation.