Struct Vector 

pub struct Vector<T> {
    pub x: T,
    pub y: T,
}

The 2D vector type.

Fields

x: T

The component representing the x axis.

y: T

The component representing the y axis.

Implementations

impl<T> Vector<T>

pub fn new(x: T, y: T) -> Self

Creates a new vector from its components.

impl<T: Zero> Vector<T>

pub fn x(x: T) -> Self

Creates a new vector along the x axis.

pub fn y(y: T) -> Self

Creates a new vector along the y axis.

impl<T> Vector<T>

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

pub fn wedge(self, other: Self) -> Bivector<T>

Computes the wedge (exterior) product of two vectors, yielding a bivector.

Trait Implementations

impl<T: Add<Output = T>> Add<Vector<T>> for Point<T>

type Output = Point<T>

The resulting type after applying the + operator.

fn add(self, other: Vector<T>) -> Self

Performs the + operation.

impl<T> Add for Vector<T>

where T: Add<Output = T>,

type Output = Vector<T>

The resulting type after applying the + operator.

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

Performs the + operation.

impl<T: AddAssign> AddAssign<Vector<T>> for Point<T>

fn add_assign(&mut self, other: Vector<T>)

Performs the += operation.

impl<T> AddAssign for Vector<T>

where T: AddAssign,

fn add_assign(&mut self, __rhs: Self)

Performs the += operation.

impl<T: Real> Basis<0> for Vector<T>

fn unit_basis() -> Self

Creates an unit basis of the vector space.

fn basis_of(x: T) -> Self

Creates a scaled basis of the vector space of the specified magnitude.

fn basis(&self) -> Self::Scalar

Queries a basis of a vector space.

fn basis_mut(&mut self) -> &mut Self::Scalar

Queries a basis of a vector space as a mutable reference.

fn with_basis(self, x: T) -> Self

Creates a new vector with a single basis set to a different value.

impl<T: Real> Basis<1> for Vector<T>

fn unit_basis() -> Self

Creates an unit basis of the vector space.

fn basis_of(y: T) -> Self

Creates a scaled basis of the vector space of the specified magnitude.

fn basis(&self) -> Self::Scalar

Queries a basis of a vector space.

fn basis_mut(&mut self) -> &mut Self::Scalar

Queries a basis of a vector space as a mutable reference.

fn with_basis(self, y: T) -> Self

Creates a new vector with a single basis set to a different value.

impl<T: Clone> Clone for Vector<T>

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug> Debug for Vector<T>

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

Formats the value using the given formatter.

impl<T: Display> Display for Vector<T>

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

Formats the value using the given formatter.

impl<T> Div<T> for Vector<T>

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

type Output = Vector<T>

The resulting type after applying the / operator.

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

Performs the / operation.

impl<T> DivAssign<T> for Vector<T>

where T: DivAssign + Copy,

fn div_assign(&mut self, other: T)

Performs the /= operation.

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 (contraction).

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

The scalar product (positive-definite).

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

type Output = Vector<T>

The output type of the dot product.

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

The dot product (contraction).

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

The scalar product (positive-definite).

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 (contraction).

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

The scalar product (positive-definite).

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

type Output = Vector<T>

The output type of the dot product.

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

The dot product (contraction).

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

The scalar product (positive-definite).

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

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

The output type of the dot product.

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

The dot product (contraction).

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

The scalar product (positive-definite).

impl<T> From<[T; 2]> for Vector<T>

fn from([x, y]: [T; 2]) -> Self

Converts to this type from the input type.

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

fn from((x, y): (T, T)) -> Self

Converts to this type from the input type.

impl<T> From<Vector<T>> for [T; 2]

fn from(_: Vector<T>) -> Self

Converts to this type from the input type.

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

fn from(_: Vector<T>) -> Self

Converts to this type from the input type.

impl<T: FromStr> FromStr for Vector<T>

type Err = String

The associated error which can be returned from parsing.

fn from_str(source: &str) -> Result<Self, Self::Err>

Parses a string s to return a value of this type.

impl<T> Mul<T> for Vector<T>

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

type Output = Vector<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T: Real> Mul for Vector<T>

type Output = Rotor<T>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<T> MulAssign<T> for Vector<T>

where T: MulAssign + Copy,

fn mul_assign(&mut self, other: T)

Performs the *= operation.

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

type Output = Vector<T>

The resulting type after applying the - operator.

fn neg(self) -> Vector<T>

Performs the unary - operation.

impl<T: PartialEq> PartialEq for Vector<T>

fn eq(&self, other: &Vector<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<Output = T>> Sub<Vector<T>> for Point<T>

type Output = Point<T>

The resulting type after applying the - operator.

fn sub(self, other: Vector<T>) -> Self

Performs the - operation.

impl<T> Sub for Vector<T>

where T: Sub<Output = T>,

type Output = Vector<T>

The resulting type after applying the - operator.

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

Performs the - operation.

impl<T: SubAssign> SubAssign<Vector<T>> for Point<T>

fn sub_assign(&mut self, other: Vector<T>)

Performs the -= operation.

impl<T> SubAssign for Vector<T>

where T: SubAssign,

fn sub_assign(&mut self, __rhs: Self)

Performs the -= operation.

impl<T: Real> Transform<Vector<T>> for Rotor<T>

fn apply_point(&self, point: Vector<T>) -> Vector<T>

Applies this transformation to a point.

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

type Scalar = T

The scalar type of the vector space.

impl<T: Zero> Zero for Vector<T>

fn zero() -> Self

fn is_zero(&self) -> bool

impl<T: Copy> Copy for Vector<T>

impl<T: Eq> Eq for Vector<T>

impl<T> StructuralPartialEq for Vector<T>