vecn

A module for creating n-dimensional vector types that support swizzling.

Allows for the creation of vectors of arbitrary dimension that are also JavaScript Arrays. There are a number of useful numeric methods that can be performed once you make a vector such as componentwise arithmetic, dot products, normalization, etc... Though the vectors are directly mutable via Array methods and direct setting of values, all methods behave in an immutable way (i.e. they create and return a new object). These arrays are fixed-length and accept only numbers as input, though they generally decay gracefully into regular Arrays. For example, you're allowed to use map, reduce, concat, and other Array methods, and if the result is a valid vec, a vec will be returned. Otherwise, you'll get back a standard Array with the new elements. These are specifically overloaded methods, so experimental, custom, and rebound methods aren't guaranteed to work.

Install

$ npm install vecn

Usage

Since they're the most common, vec2, vec3, and vec4 are already included:

const {vec3} = require('vecn')

let v = vec3(1, 2, 3)
console.log(v)

[ 1, 2, 3 ]

If you need to create your own vector type:

const vecn = require('vecn')

const vec5 = vecn.getVecType(5)
var v = vec5(1, 2, 3, 4, 5)
console.log(v)

[ 1, 2, 3, 4, 5 ]

Once you have a vector, here are some things you can do:

magnitude
approximatelyEquals()
argmax()
argmin()
choose()
copy()
div()
dot()
equals()
max()
min()
minus()
neg()
normalize()
plus()
pnorm()
pow()
reflect()
sum()
times()

And of course these methods can be chained

v1.plus(v2).times(v3).normalize().neg()

For a more in-depth description of available vector methods and how to use them, see the documentation.

Swizzling

Swizzling is a technique used in GLSL that allows you to access a vector's components by name and build new vectors from them. It works the same here at arbitrary length. It's easiest to see in an example:

var v = vec4(1, 2, 3, 4)

v.x                          // 1
v.y                          // 2
v.z                          // 3
v.w                          // 4

v.xx                         // vec2 [ 1, 1 ]
v.zy                         // vec2 [ 3, 2 ]
v.zywwxyyz                   // vec8 [ 3, 2, 4, 4, 1, 2, 2, 3 ]

We can also set values with swizzling.

var v = vec3(1, 2, 3)

v.xz = [4, 5]
console.log(v)

[ 4, 2, 5 ]

Swizzling only works for vec2, vec3, and vec4 (with plans to extend it with custom accessors).

Important Nuance

When creating a new vecType, you are generating a new class. However, this class is hidden behind a function that creates the object for you and returns a Proxy. Therefore, the function returned by vecn.getVecType is not a constructor. Since the new keyword implies a return this at the end of the function, but the function already returns, the existence of a new before the function call has no effect. The following code explains the importance:

const vec2 = vecn.getVecType(2)

var v1 = vec2(1, 2)          // Valid construction
var v2 = new vec2(1, 2)      // Also valid, but misleading

v1.constructor === vec2      // false

Basically this allows for swizzling and lets me extend Array without letting the user mess with the length.