Struct shigens::Quaternion

pub struct Quaternion<T> {
    pub r: R<T>,
    pub i: I<T>,
    pub j: J<T>,
    pub k: K<T>,
}

Fields

r: R<T>

i: I<T>

j: J<T>

k: K<T>

Implementations

impl<T> Quaternion<T>

pub fn get_values(self) -> (T, T, T, T)

impl<T> Quaternion<T> where
    T: Copy + Neg<Output = T>, 

pub fn rev(&self) -> Quaternion<T>

impl<T> Quaternion<T> where
    T: Copy + Mul,
    T::Output: Add<Output = T::Output>, 

pub fn norm_square(&self) -> R<T::Output>

impl<T> Quaternion<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

pub fn inv(&self) -> Quaternion<T>

impl<T> Quaternion<T>

pub fn scalar(self) -> R<T>

pub fn vector(self) -> (I<T>, J<T>, K<T>)

Trait Implementations

impl<T> Add<I<T>> for Quaternion<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: I<T>) -> Self::Output

Performs the + operation.

impl<T> Add<J<T>> for Quaternion<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: J<T>) -> Self::Output

Performs the + operation.

impl<T> Add<K<T>> for Quaternion<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: K<T>) -> Self::Output

Performs the + operation.

impl<LT, RT> Add<Quaternion<RT>> for Quaternion<LT> where
    LT: Add<RT>, 

type Output = Quaternion<LT::Output>

The resulting type after applying the + operator.

fn add(self, rhs: Quaternion<RT>) -> Self::Output

Performs the + operation.

impl<T> Add<Quaternion<T>> for R<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: Quaternion<T>) -> Self::Output

Performs the + operation.

impl<T> Add<Quaternion<T>> for I<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: Quaternion<T>) -> Self::Output

Performs the + operation.

impl<T> Add<Quaternion<T>> for J<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: Quaternion<T>) -> Self::Output

Performs the + operation.

impl<T> Add<Quaternion<T>> for K<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: Quaternion<T>) -> Self::Output

Performs the + operation.

impl<T> Add<R<T>> for Quaternion<T> where
    T: Add<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the + operator.

fn add(self, rhs: R<T>) -> Self::Output

Performs the + operation.

impl<T: Clone> Clone for Quaternion<T>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Quaternion<T>

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

Formats the value using the given formatter.

impl<T: Display> Display for Quaternion<T>

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

Formats the value using the given formatter.

impl<T> Div<I<T>> for Quaternion<T> where
    T: Copy + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: I<T>) -> Self::Output

Performs the / operation.

impl<T> Div<J<T>> for Quaternion<T> where
    T: Copy + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: J<T>) -> Self::Output

Performs the / operation.

impl<T> Div<K<T>> for Quaternion<T> where
    T: Copy + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: K<T>) -> Self::Output

Performs the / operation.

impl<T> Div<Quaternion<T>> for R<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: Quaternion<T>) -> Self::Output

Performs the / operation.

impl<T> Div<Quaternion<T>> for I<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: Quaternion<T>) -> Self::Output

Performs the / operation.

impl<T> Div<Quaternion<T>> for J<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: Quaternion<T>) -> Self::Output

Performs the / operation.

impl<T> Div<Quaternion<T>> for K<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: Quaternion<T>) -> Self::Output

Performs the / operation.

impl<T> Div<Quaternion<T>> for Quaternion<T> where
    T: Copy + Add<Output = T> + Mul<Output = T> + Div<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the / operator.

fn div(self, rhs: Quaternion<T>) -> Self::Output

Performs the / operation.

impl<T> Div<R<T>> for Quaternion<T> where
    T: Copy + Div, 

type Output = Quaternion<T::Output>

The resulting type after applying the / operator.

fn div(self, rhs: R<T>) -> Self::Output

Performs the / operation.

impl<T> From<(T, T, T, T)> for Quaternion<T>

fn from((r, i, j, k): (T, T, T, T)) -> Self

Performs the conversion.

impl<T> Mul<I<T>> for Quaternion<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: I<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<J<T>> for Quaternion<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: J<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<K<T>> for Quaternion<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: K<T>) -> Self::Output

Performs the * operation.

impl<LT, RT> Mul<Quaternion<RT>> for Quaternion<LT> where
    LT: Copy + Mul<RT>,
    RT: Copy,
    LT::Output: Add<Output = LT::Output> + Neg<Output = LT::Output>, 

type Output = Quaternion<LT::Output>

The resulting type after applying the * operator.

fn mul(self, rhs: Quaternion<RT>) -> Self::Output

Performs the * operation.

impl<T> Mul<Quaternion<T>> for R<T> where
    T: Copy + Mul, 

type Output = Quaternion<T::Output>

The resulting type after applying the * operator.

fn mul(self, rhs: Quaternion<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<Quaternion<T>> for I<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Quaternion<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<Quaternion<T>> for J<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Quaternion<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<Quaternion<T>> for K<T> where
    T: Copy + Mul<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the * operator.

fn mul(self, rhs: Quaternion<T>) -> Self::Output

Performs the * operation.

impl<T> Mul<R<T>> for Quaternion<T> where
    T: Copy + Mul, 

type Output = Quaternion<T::Output>

The resulting type after applying the * operator.

fn mul(self, rhs: R<T>) -> Self::Output

Performs the * operation.

impl<T: Neg> Neg for Quaternion<T>

type Output = Quaternion<T::Output>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T> One for Quaternion<T> where
    T: One + Zero, 

fn one() -> Self

fn is_one(&self) -> bool where
    Self: Sized + PartialEq, 

impl<T: PartialEq> PartialEq<Quaternion<T>> for Quaternion<T>

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

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

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

This method tests for !=.

impl<T> StructuralPartialEq for Quaternion<T>

impl<T> Sub<I<T>> for Quaternion<T> where
    T: Sub<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: I<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<J<T>> for Quaternion<T> where
    T: Sub<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: J<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<K<T>> for Quaternion<T> where
    T: Sub<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: K<T>) -> Self::Output

Performs the - operation.

impl<LT, RT> Sub<Quaternion<RT>> for Quaternion<LT> where
    LT: Sub<RT>, 

type Output = Quaternion<LT::Output>

The resulting type after applying the - operator.

fn sub(self, rhs: Quaternion<RT>) -> Self::Output

Performs the - operation.

impl<T> Sub<Quaternion<T>> for R<T> where
    T: Sub<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Quaternion<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<Quaternion<T>> for I<T> where
    T: Sub<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Quaternion<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<Quaternion<T>> for J<T> where
    T: Sub<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Quaternion<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<Quaternion<T>> for K<T> where
    T: Sub<Output = T> + Neg<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: Quaternion<T>) -> Self::Output

Performs the - operation.

impl<T> Sub<R<T>> for Quaternion<T> where
    T: Sub<Output = T>, 

type Output = Quaternion<T>

The resulting type after applying the - operator.

fn sub(self, rhs: R<T>) -> Self::Output

Performs the - operation.

impl<T> Zero for Quaternion<T> where
    T: Zero, 

fn zero() -> Self

fn is_zero(&self) -> bool where
    Self: Sized + PartialEq,