Trait truck_modeling::base::VectorSpace
pub trait VectorSpace: Copy + Clone + Zero<Output = Self> + Add<Self> + Sub<Self, Output = Self> + Sum<Self> + Mul<Self::Scalar, Output = Self> + Div<Self::Scalar, Output = Self> + Rem<Self::Scalar, Output = Self> {
type Scalar: BaseNum;
fn lerp(self, other: Self, amount: Self::Scalar) -> Self { ... }
}Expand description
Vectors that can be added together and multiplied by scalars.
Examples include vectors, matrices, and quaternions.
Required operators
Vector addition
Vectors can be added, subtracted, or negated via the following traits:
Add<Output = Self>Sub<Output = Self>Neg<Output = Self>
use cgmath::Vector3;
let velocity0 = Vector3::new(1, 2, 0);
let velocity1 = Vector3::new(1, 1, 0);
let total_velocity = velocity0 + velocity1;
let velocity_diff = velocity1 - velocity0;
let reversed_velocity0 = -velocity0;Vector spaces are also required to implement the additive identity trait,
Zero. Adding this to another vector should have no effect:
use cgmath::prelude::*;
use cgmath::Vector2;
let v = Vector2::new(1, 2);
assert_eq!(v + Vector2::zero(), v);Scalar multiplication
Vectors can be multiplied or divided by their associated scalars via the following traits:
Mul<Self::Scalar, Output = Self>Div<Self::Scalar, Output = Self>Rem<Self::Scalar, Output = Self>
use cgmath::Vector2;
let translation = Vector2::new(3.0, 4.0);
let scale_factor = 2.0;
let upscaled_translation = translation * scale_factor;
let downscaled_translation = translation / scale_factor;