#math #geometry #vector

ndmath

Traits for doing vector geometry operations using built-in types

3 releases

Uses new Rust 2021

0.1.2 Dec 22, 2021
0.1.1 Dec 20, 2021
0.1.0 Dec 20, 2021

#110 in #geometry

Unlicense

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Description

ndmath is a Rust library for doing vector arithmetic on built-in types.

You can find usage information in the documentation;


lib.rs:

This crate provides traits for working with builtin Rust types as geometric primitives.

Usage

Vectors

[VecN] provides basic vector math operations. [FloatingVecN] adds some extra methods that only apply to real-valued vectors.

These traits are implemented for all applicable array types.

Example

use ndmath::*;

let a = [2, 5];
let b = [3, -7];
let c = a.add(b);
let d = a.neg();
assert_eq!(c, [5, -2]);
assert_eq!(d, [-2, -5]);

let a = [1, 2, 3, 4, 5, 6, 7];
let b = [9, 8, 7, 6, 5, 4, 3];
let c = a.add(b);
let d = a.sub(b);
let e = a.mul(2);
assert_eq!(c, [10; 7]);
assert_eq!(d, [-8, -6, -4, -2, 0, 2, 4]);
assert_eq!(e, [2, 4, 6, 8, 10, 12, 14]);

let a = [3.0, 4.0];
let b = [3.0, 6.0];
assert_eq!(a.mag(), 5.0);
assert_eq!(a.dist(b), 2.0);

Axis-aligned bounding boxes

[Aabb] provides operations for axis-aligned bounding boxes. They consist of an origin and a size.

This trait is implemented for all even-sized scalar arrays up to size 16 and all size 2 arrays of scalar arrays.

Example

use ndmath::*;

let aabb = [1, 0, 4, 5];
assert!(aabb.contains([2, 2]));
assert!(aabb.contains([1, 0]));
assert!(aabb.contains([5, 5]));
assert!(!aabb.contains([5, 6]));

Named dimension traits

There are traits to provide accessors for named dimensional values.

There are 4 traits for vector dimensions:

  • [XVec]
  • [YVec]
  • [ZVec]
  • [WVec]

There are 3 traits for axis-aligned bounding box dimensions:

  • [XAabb]
  • [YAabb]
  • [ZAabb]

Example

use ndmath::*;

let a = [1, 2];
let b = [3, 4, 5];
let c = [6, 7, 8, 9];
assert_eq!(a.x(), 1);
assert_eq!(a.y(), 2);
assert_eq!(b.z(), 5);
assert_eq!(c.w(), 9);

let aabb = [[0, 1, 2], [3, 4, 5]];
assert_eq!(aabb.left(), 0);
assert_eq!(aabb.top(), 1);
assert_eq!(aabb.back(), 2);
assert_eq!(aabb.right(), 3);
assert_eq!(aabb.bottom(), 5);
assert_eq!(aabb.front(), 7);
assert_eq!(aabb.width(), 3);
assert_eq!(aabb.height(), 4);
assert_eq!(aabb.depth(), 5);

No runtime deps