points = nil

function getPoints()
	return points
end

function init(points_)
	points = points_
end

function eval(t)
	if points == nil or #points < 2 then
		return nil
	end

	-- make a lua copy of the points
	local cache = {}
	for pointIdx, p in ipairs(points) do
		table.insert(cache, { x = p:getX(), y = p:getY() })
	end
	
	-- compute the relevant point on the copy and return it
	for i = 2, #cache, 1 do
		for k = 1, #cache+1-i, 1 do
			cache[k].x = (1-t)*cache[k].x + t*cache[k+1].x
			cache[k].y = (1-t)*cache[k].y + t*cache[k+1].y
		end
	end
	return point.new(cache[1].x, cache[1].y)
end