Struct Bivector4 

pub struct Bivector4 {
    pub xy: f32,
    pub xz: f32,
    pub xw: f32,
    pub yz: f32,
    pub yw: f32,
    pub zw: f32,
}

Fields

xy: f32

xz: f32

xw: f32

yz: f32

yw: f32

zw: f32

Implementations

impl Bivector4

pub const ZERO: Self

pub fn new(xy: f32, xz: f32, xw: f32, yz: f32, yw: f32, zw: f32) -> Self

pub fn basis(i: usize) -> Self

Panics if i >= 6; Plane4::unit_bivector is the typed form.

pub fn magnitude_squared(self) -> f32

pub fn magnitude(self) -> f32

sqrt(θ₁² + θ₂²) over the invariant planes; the angle only when simple.

pub fn component(self, plane: Plane4) -> f32

pub fn set_component(&mut self, plane: Plane4, value: f32)

pub fn dot(self, other: Self) -> f32

Euclidean product of the six coefficients, not the Clifford scalar part.

pub fn wedge_self_coeff(self) -> f32

Pseudoscalar coefficient of B ∧ B; zero iff B is simple.

pub fn wedge(u: Vec4, v: Vec4) -> Self

pub fn contract_vec(self, v: Vec4) -> Vec4

Left contraction B ⌋ v, the grade-1 part of B·v: e_xy ⌋ e_x = −e_y.

pub fn dual(self) -> Self

Trait Implementations

impl Add for Bivector4

type Output = Bivector4

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl Bivector for Bivector4

type Rotor = Rotor4

fn zero() -> Self

fn exp(self) -> Rotor4

impl Clone for Bivector4

fn clone(&self) -> Bivector4

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Bivector4

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

Formats the value using the given formatter.

impl Default for Bivector4

fn default() -> Bivector4

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Bivector4

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Mul<f32> for Bivector4

type Output = Bivector4

The resulting type after applying the * operator.

fn mul(self, k: f32) -> Self

Performs the * operation.

impl PartialEq for Bivector4

fn eq(&self, other: &Bivector4) -> 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 Serialize for Bivector4

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Copy for Bivector4

impl StructuralPartialEq for Bivector4