gfxmath-vec3

A simple 3D math library to compute 3 dimensional vectors.

• Usage
  • Vec3
  • Operators
    • Cross Product
    • Dot Product
    • Normalize
• Known Limitations
  • Left-Hand Primitives
  • Hash Implementation
• Showcase
• License

Usage

Vec3

Vec3 uses the standard { x, y, z } coordinate system. We can obtain the coefficients for each axis by calling its member.

The structure of Vec3 is as follows:

pub struct Vec3<T> {
    pub x: T,
    pub y: T,
    pub z: T
}

The creation of a Vec3 objection can be done via multiple ways.

use gfxmath_vec3::Vec3;

// Standard construction
let v = Vec3 { x: 3.0, y: 1.0, z: 0.5 };

// Using `new` function
let v = Vec3::new(3.0, 1.0, 0.5);

// Using tuples
let v: Vec3<f32> = (3.0, 4.0, 9.0).into();

// Using macros
use gfxmath_vec3::vec3;
let v = vec3!(3.0, 4.0, 9.0);

assert_eq!(3.0, v.x);
assert_eq!(1.0, v.y);
assert_eq!(0.5, v.z);

Operators

Common mathematical operators are implemented for Vec3.

• + , +=
• - , -=
• * , *=
• / , /=

// Reminder: Rust automatically infers floats to `f64` and integers to `i64`.

let v1 = Vec3::new(3.0, 9.0, 2.5);
let v2 = Vec3::new(4.0, 5.0, 3.0);

let res = v1 + v2;

assert_eq!( 7.0, res.x);
assert_eq!(14.0, res.y);
assert_eq!( 5.5, res.z);

Cross Product

use gfxmath_vec3::ops::Cross;
use gfxmath_vec3::Vec3;

let a = Vec3::new(1.0, 3.0, 2.5);
let b = Vec3::all(2.0);

let res = a.cross(b);

assert_eq!(1.0, res.x);
assert_eq!(3.0, res.y);
assert_eq!(-4.0, res.z);

Dot Product

use gfxmath_vec3::{Vec3, ops::Dot};
 
let a = Vec3::new(3.0, 4.0, 5.0);
let b = Vec3::new(2.0, 1.0, 3.0);
 
let res = a.dot(b);
 
assert_eq!(25.0, res);

Normalize

Produce a unit vector.

use gfxmath_vec3::ops::Norm;
use gfxmath_vec3::Vec3;

let a = Vec3::<f32>::new(3.0, 4.0, 0.0);
let an = a.norm().unwrap();

assert_eq!(3.0/5.0, an.x);
assert_eq!(4.0/5.0, an.y);
assert_eq!(    0.0, an.z);

Known Limitations

Left-Hand Primitives

One caveat is that operators where the Left-Hand side is a primitive has limited support. This is due to restrictions for trait implementations. impl <T> Add<Vec3<T>> for T is illegal within Rust syntax (due to the trailing T) because the implementation must be for a known type for non-local traits and types. Since Add is from the core package and T (the type to be implemented for) is not derived from a local trait, this is not possible.

At the time of this writing, primitives that work on the Left-Hand Side for common operators are f32, f64, i32, and i64.

// Works
let lhs: f32 = 4.0;
let rhs = Vec3::<f32>::new(3.0, 4.0, 2.5);
let res = lhs + rhs;

// NOT SUPPORTED!!
let lhs: u32 = 4;
let rhs = Vec3::<u32>::new(3, 4, 2);
let res = lhs + rhs;

Hash Implementation

Currently, Hash implementations are limited for the following types:

• f32
• f64
• i32
• i64
• u32
• u64

Showcase

License

Apache 2.0