[Lua] Physics

system.physics = {
    -- [[ Check for collisions ]] --
    -- Checks if an object at position (x, y) collides with another object at position (x2, y2) in a range (width, height)
    -- returns true if it collides, false otherwise.
    collidepoint = function(x, y, x2, y2, w, h)
        return (x>=x2-w and x<=x2+w and y>=y2-h and y<=y2+h)
    end,
    -- Check if two circular objects collided
    -- returns true if it collides, false otherwise.
    collidecircle = function(x, y, x2, y2, radius1, radius2)
        local dx = x - x2
        local dy = y - y2
        local distance = Math.sqrt(dx * dx + dy * dy)
        return distance < radius1 + radius2
    end,
    -- Check if two retangular objects collided
    -- returns true if it collides, false otherwise.
    colliderect = function(x, y, x2, y2, w, h, w2, h2)
        return (x < x2 + w2 and x + w > x2 and y < y2 + h2 and y + h > y2)
    end,
    -- Casts a radius from a position (x, y) to a position (x2, y2) in a straight line with a limit (range)
    -- returning information such as angle, mapping (to check for direct collisions), distance and offsets
    -- returns table {distance, offsetX, offsetY, angle, map}
    raycast = function(x, y, x2, y2, range)
        local angle = math.atan2(y2 - y, x2 - x)
        local distance = ((x - x2)^2 + (y - y2)) ^ .5

        if (range and distance > range) then
            distance = range
        end

        local offsetX = math.cos(angle)
        local offsetY = math.sin(angle)

        local map = {}
        for i=0, distance do
            map[#map+1] = {
                x = x+(i*offsetX),
                y = y+(i*offsetY)
            }
        end

        return {
            distance = distance,
            offsetX = offsetX,
            offsetY = offsetY,
            angle = angle,
            map = map
        }
    end
}