core-math-functions.md

Core Math functions

Table of Contents

1. Creating Vectors and Matrices
2. Accessing Vector Components
3. Vector and Matrix Operations
4. Binding Core Math Functions

Creating Vectors and Matrices

Creating vec2 objects

local v1 = vec2()
local v2 = vec2(1.0)
local v3 = vec2(1.0, 2.0)

Creating vec3 objects

local v1 = glm.vec3()
local v2 = glm.vec3(1.0)
local v3 = glm.vec3(1.0, 2.0, 3.0)

Creating vec4 objects

local v1 = glm.vec4()
local v2 = glm.vec4(1.0)
local v3 = glm.vec4(1.0, 2.0, 3.0, 4.0)

Creating mat3 objects

local m1 = glm.mat3()
local m2 = glm.mat3(1.0)
local m3 = glm.mat3(glm.mat4())
local m4 = glm.mat3(1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0)

Accessing Vector Components

Accessing vec2 components

local x = vec2.x
local y = vec2.y

Accessing vec3 components

local x = vec3.x
local y = vec3.y
local z = vec3.z

Accessing vec4 components

local x = vec4.x
local y = vec4.y
local z = vec4.z
local w = vec4.w

Vector and Matrix Operations

Addition

local result = vecA + vecB
local result = vecA + scalar
local result = scalar + vecA

Subtraction

local result = vecA - vecB
local result = vecA - scalar
local result = scalar - vecA

Multiplication

local result = vecA * vecB
local result = vecA * scalar
local result = scalar * vecA
local result = matA * vecA

Division

local result = vecA / vecB
local result = vecA / scalar
local result = scalar / vecA

Constants

local pi = glm.pi
local half_pi = glm.half_pi
local quarter_pi = glm.quarter_pi
local two_pi = glm.two_pi

Functions

local sqrt_result = glm.sqrt(x)
local pow_result = glm.pow(x, y)
local exp_result = glm.exp(x