Trait Vector 

pub trait Vector<T, Rhs = Self, Output = Self>:
    Add<Rhs, Output = Output>
    + Sub<Rhs, Output = Output>
    + Mul<Rhs, Output = Output, Output = Output>
    + Mul<T>
    + Div<Rhs, Output = Output, Output = Output>
    + Div<T>
    + Neg<Output = Output>
    + Clone
    + Copy
where
    T: Scalar,
{
    // Required methods
    fn zero() -> Self;
    fn add_vv(l: &Self, r: &Self) -> Self;
    fn sub_vv(l: &Self, r: &Self) -> Self;
    fn mul_vv(l: &Self, r: &Self) -> Self;
    fn div_vv(l: &Self, r: &Self) -> Self;
    fn mul_vs(l: &Self, r: T) -> Self;
    fn div_vs(l: &Self, r: T) -> Self;
    fn rem_vv(l: &Self, r: &Self) -> Self;
    fn dot(l: &Self, r: &Self) -> T;
    fn min(l: &Self, r: &Self) -> Self;
    fn max(l: &Self, r: &Self) -> Self;
}

Generic vector trait defining common vector operations.

This trait provides the foundation for all vector types, defining operations like addition, subtraction, dot product, and component-wise operations.

Mathematical Operations

For vectors v and w, and scalar s:

• Addition: v + w = (v₁ + w₁, v₂ + w₂, …)
• Subtraction: v - w = (v₁ - w₁, v₂ - w₂, …)
• Scalar multiplication: sv = (sv₁, sv₂, …)
• Dot product: v · w = v₁w₁ + v₂w₂ + …

Required Methods

fn zero() -> Self

Returns the zero vector (all components are zero).

fn add_vv(l: &Self, r: &Self) -> Self

Adds two vectors component-wise.

fn sub_vv(l: &Self, r: &Self) -> Self

Subtracts two vectors component-wise.

fn mul_vv(l: &Self, r: &Self) -> Self

Multiplies two vectors component-wise (Hadamard product).

fn div_vv(l: &Self, r: &Self) -> Self

Divides two vectors component-wise.

fn mul_vs(l: &Self, r: T) -> Self

Multiplies a vector by a scalar.

fn div_vs(l: &Self, r: T) -> Self

Divides a vector by a scalar.

fn rem_vv(l: &Self, r: &Self) -> Self

Computes the remainder of component-wise division.

fn dot(l: &Self, r: &Self) -> T

Computes the dot product of two vectors.

For vectors v and w:

v · w = Σᵢ vᵢwᵢ

fn min(l: &Self, r: &Self) -> Self

Returns a vector with the minimum components from both vectors.

fn max(l: &Self, r: &Self) -> Self

Returns a vector with the maximum components from both vectors.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl<T> Vector<T> for Vector2<T>

where T: Scalar,

impl<T> Vector<T> for Vector3<T>

where T: Scalar,

impl<T> Vector<T> for Vector4<T>

where T: Scalar,