Vectors

Prelude

This is my vectors library for lua, I currently am integrating this into my own roleplay core for tes3mp.

This is very early in development but it has some useful features to make life easier for some tes3mp developers.

Installation

For tes3mp, this should be required in the custiomScripts.lua, at the very top of the file.

vec3 = require("custom/vectors/main")

Usage

Creating Vectors

To create a vector, just do call vec3 with the dimensions of the vector.

vec3(x, y, z)

You can also assign them to a variables:

local v1 = vec3(1, 2, 3)

You can also use vec3 to create a 2d vector

local v2 = vec3(1, 2)

Arithmatic

You can perform arithmetic on vectors as well!

Addition

local v1, v2 = vec3(1, 2, 3), vec3(3, 2, 1)
print(v1 + v2) -- outputs: vec3(4, 4, 4)

Subtraction

local v1, v2 = vec3(1, 2, 3), vec3(3, 2, 1)
print(v1 - v2) -- outputs: vec3(-2, 0, 2)

Multiplication

local v1, v2 = vec3(1, 2, 3), vec3(3, 2, 1)
print(v1 * v2) -- outputs: vec3(3, 4, 3)

division

Division does not work on vectors, but you can divide a vector by a whole number

local v1, a = vec3(1, 2, 3), 3
print(v1 / a) -- outputs: vec3(0.333, 0.666, 1)

Magnitude of a vector

Not for this section, use a unary - instead of # as tes3mp does not support the overriding of the # operator. You can get the length of a vector using the # operand:

local v1 = vec3(1, 2, 3)
print(#v1) -- outputs: 3.742

You can also take the length of 2 vectors subtracted by eachother to figure out how far they are from eachother.

local v1, v2 = vec3(1, 2, 3), vec3(3, 2, 1)
print(#(v1 - v2)) -- outputs: 2.828

Conditionals

You can also compare 2 vectors together for if statements.

local v1, v2 = vec3(1, 2, 3), vec3(3, 2, 1)
if v1 == v2 then
    return true
else
    return false
end
--This code will return false

This only directly works for vectors when checking if they are equal, if you need to do "<=", "=>", etc, then take the magnitude of the vectors and compare their size.

local v1, v2 = vec3(1, 2, 3), vec3(2, 2, 1)
if #v1 <= #v2 then
    return true
else
    return false
end
--This code will return false

Example for implementation in tes3mp scripts

This example will create a function that can be used to retrieve player locations

---@class functionsTable
local functionsTable  = {}

local functionsTable.getPlayerData(pid)
    return vec3(tes3mp.GetPosX(pid), tes3mp.GetPosY(pid), tes3mp.GetPosZ(pid))
end

return functionTable

Now you can benefit from the vectors library using the positional data from tes3mp.