half-planes-lua

Small library for half plane math

A Lua library for performing mathematical operations related to half planes.

Overview

This Lua library provides functionality for working with half planes in a mathematical context. It allows you to perform various operations involving half planes, including intersection calculations, containment checks, and more.

Features

• Ray-to-Half-Plane Intersection: Determine if a ray intersects a half plane and calculate the intersection point.
• Point Containment: Check if a point lies within a half plane. (TODO: - Angle Operations: Perform angle-related calculations useful in half plane mathematics.)

Installation

You can include this library in your Lua project by simply copying the relevant Lua files into your project directory and requiring them in your code.

Usage

local HalfPlanesLib = require ('HalfPlanesLib')
-- half planes intersection:
local halfPlane = HalfPlanesLib:new({x = 200, y = 300}, -2, 1) -- point and direction as vector (not normilized)
local halfPlane2 = HalfPlanesLib:new({x = 300, y = 200}, 1, -6)
local pointIntersection = halfPlane:getIntersectionPoint(halfPlane2)

if pointIntersection then
    print("Intersection Point:", pointIntersection.x, pointIntersection.y)
else
    print("No Intersection")
end

local HalfPlanesLib = require ('HalfPlanesLib')
local halfPlane = HalfPlanesLib:new({x = 200, y = 300}, -2, 1) -- point and direction as vector (not normilized)
-- check if the point is inside of half plane:
local testPoint = {x = 4, y = 5}
local isInside = halfPlane:contains(testPoint)
print("Point inside the half-plane:", isInside)