How would you go about creating an "infnite" amount of rarities

Help and Feedback Scripting Support
#1

i’ve been trying to make a infinite rarities like game but can’t seem to get the “infinite” part working.

closest i’ve gotten was this:

local bNum = require(game.ReplicatedStorage.Bnum)

function module.chooseIndex(rarityTable, luck)
	local newRarityArray = {}
	local totalWeight = bNum.floattobnum(0)
	local accumulatedWeight = bNum.floattobnum(0)

	for i, rarity in ipairs(rarityTable) do
		local weight = 1 / 5
		weight = bNum.pow(bNum.floattobnum(weight), bNum.sub(bNum.floattobnum(i), bNum.floattobnum(1)))
		local newWeight = bNum.mul(weight, bNum.strtobnum(luck))

		if bNum.me(newWeight, bNum.floattobnum(1)) then
			print("Skipping weight:", bNum.bnumtofloat(newWeight))
			continue
		end

		print("Adding weight:", bNum.bnumtofloat(newWeight))
		totalWeight = bNum.add(totalWeight, newWeight)
		table.insert(newRarityArray, {[rarity[1]] = {newWeight}})
	end

	if #newRarityArray > 0 then
		print("Selected from existing rarities")
		local rnd = bNum.rand(bNum.floattobnum(0), totalWeight)
		local selectedRarity = "Common"
		local accumulatedWeight = bNum.floattobnum(0)

		for index, rarity in pairs(newRarityArray) do
			for a, b in pairs(rarity) do
				accumulatedWeight = bNum.add(accumulatedWeight, b[1])

				if bNum.leeq(rnd, accumulatedWeight) then
					print("Selected rarity:", a)
					selectedRarity = a
					break
				end
			end
		end

		return selectedRarity
	else
		print("Total Weight:", bNum.bnumtofloat(totalWeight))
		print("Luck:", luck)
		print("Calculating number of attempts")
		local numAttempts = bNum.ceil(bNum.div(bNum.log(bNum.sub(bNum.floattobnum(1), totalWeight)), bNum.log(bNum.strtobnum(luck))))
		print("Number of attempts:", bNum.bnumtofloat(numAttempts))
		return "rarity#" .. bNum.bnumtofloat(numAttempts)
	end
end

this works fine if your luck isn’t too high and can actually select rarities from the table

but if there are no selectable rarities, it will try to calculate a new rarity. But because totalWeight will always be 0 because it skips the rarities when the weight is above 1 and log(1) will always be 0 and you can’t devide by 0, it will always return rarity#0.

I’ve tried to use chatgpt a bunch for maybe different approaches but he doesn’t seem to help either.