Struct Bivector 

pub struct Bivector<T> {
    pub xy: T,
    pub xz: T,
    pub yz: T,
}

The 3D bivector type.

Fields

xy: T

The component representing the xy plane.

xz: T

The component representing the xz plane.

yz: T

The component representing the yz plane.

Implementations

impl<T> Bivector<T>

pub fn new(xy: T, xz: T, yz: T) -> Self

Creates a new bivector from its components.

impl<T: Real> Bivector<T>

pub fn exp(self) -> Rotor<T>

Returns the exponent of the bivector as a rotor.

impl<T: Zero> Bivector<T>

pub fn xy(xy: T) -> Self

Creates a new bivector along the xy plane.

pub fn xz(xz: T) -> Self

Creates a new bivector along the xz plane.

pub fn yz(yz: T) -> Self

Creates a new bivector along the yz plane.

Trait Implementations

impl<T> Add for Bivector<T>

where T: Add<Output = T>,

type Output = Bivector<T>

The resulting type after applying the + operator.

fn add(self, __rhs: Self) -> Self::Output

Performs the + operation.

impl<T> AddAssign for Bivector<T>

where T: AddAssign,

fn add_assign(&mut self, __rhs: Self)

Performs the += operation.

impl<T: Clone> Clone for Bivector<T>

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Bivector<T>

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

Formats the value using the given formatter.

impl<T> Div<T> for Bivector<T>

where T: Div<Output = T> + Copy,

type Output = Bivector<T>

The resulting type after applying the / operator.

fn div(self, other: T) -> Self

Performs the / operation.

impl<T> DivAssign<T> for Bivector<T>

where T: DivAssign + Copy,

fn div_assign(&mut self, other: T)

Performs the /= operation.

impl<T: Real> DotProduct<Bivector<T>> for Rotor<T>

type Output = Rotor<T>

The output type of the dot product.

fn dot(&self, other: &Bivector<T>) -> Self

The dot product.

impl<T: Real> DotProduct<Bivector<T>> for Vector<T>

type Output = Vector<T>

The output type of the dot product.

fn dot(&self, other: &Bivector<T>) -> Self

The dot product.

impl<T: Real> DotProduct<Rotor<T>> for Bivector<T>

type Output = Rotor<T>

The output type of the dot product.

fn dot(&self, other: &Rotor<T>) -> Rotor<T>

The dot product.

impl<T: Real> DotProduct<Vector<T>> for Bivector<T>

type Output = Vector<T>

The output type of the dot product.

fn dot(&self, other: &Vector<T>) -> Vector<T>

The dot product.

impl<T: Real> DotProduct for Bivector<T>

type Output = <Bivector<T> as VectorSpace>::Scalar

The output type of the dot product.

fn dot(&self, other: &Self) -> T

The dot product.

impl<T> Mul<T> for Bivector<T>

where T: Mul<Output = T> + Copy,

type Output = Bivector<T>

The resulting type after applying the * operator.

fn mul(self, other: T) -> Self

Performs the * operation.

impl<T> MulAssign<T> for Bivector<T>

where T: MulAssign + Copy,

fn mul_assign(&mut self, other: T)

Performs the *= operation.

impl<T: Neg<Output = T>> Neg for Bivector<T>

type Output = Bivector<T>

The resulting type after applying the - operator.

fn neg(self) -> Bivector<T>

Performs the unary - operation.

impl<T: PartialEq> PartialEq for Bivector<T>

fn eq(&self, other: &Bivector<T>) -> 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<T> Sub for Bivector<T>

where T: Sub<Output = T>,

type Output = Bivector<T>

The resulting type after applying the - operator.

fn sub(self, __rhs: Self) -> Self::Output

Performs the - operation.

impl<T> SubAssign for Bivector<T>

where T: SubAssign,

fn sub_assign(&mut self, __rhs: Self)

Performs the -= operation.

impl<T: Real> VectorSpace for Bivector<T>

type Scalar = T

The scalar type of the vector space.

impl<T: Zero> Zero for Bivector<T>

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<T: Copy> Copy for Bivector<T>

impl<T: Eq> Eq for Bivector<T>

impl<T> StructuralPartialEq for Bivector<T>