Roman Numeral Generator

-- Complete Roman Numeral Translator (REQUIRES VERY BIG BRAIN) --

--[[ Some terminology you need to know:

    Numerals with || as shown in |IX| means the number is in the thousands.
    Numerals with () as shown in (IX) means the number is in the hundreds of thousands or millions
    For larger numbers that will be added in the future, [] means tens to hundreds of millions, {} for hundreds of millions to billions, <> for tens to hundreds of billions.

    Fractional Numerals are divisions of 12 and split into halves or "s"

    For more terminologies, I recommend learning how the complete Roman Numerals work!
]]

local startValue = 1 -- I
local increment = 1 -- I
local duration = 10^4 -- |X| or 10,000 [max is 10 million or (X) or 10^7]
local tickSpeed = 0.01 -- seconds for the next increment

-- Function to convert a number to extended Roman numerals with subtraction rule and fractions
local function toRoman(num)
    local values = {
        10000000, 9000000, 5000000, 4000000, 1000000, 900000, 500000, 400000, 100000, 90000,
        50000, 40000, 10000, 9000, 5000, 4000, 1000, 900, 500, 400, 100, 90, 50, 40, 10, 9, 5, 4, 1
    }
    local numerals = {
        "(X)", "(IX)", "(V)", "(IV)", "(I)", "|IX)", "|D|", "|CD|", "|C|", "|XC|",
        "|L|", "|XL|", "|X|", "|IX|", "|V|", "|IV|", "M", "CM", "D", "CD", "C", "XC", "L", "XL", "X", "IX", "V", "IV", "I"
    }

    local fractionSymbols = {"s:·:", "s::", "s∴", "s:", "s·", "s", ":·:", "::", "∴", ":", "·"}
    local fractionValues = {11/12, 5/6, 3/4, 2/3, 7/12, 1/2, 5/12, 1/3, 1/4, 1/6, 1/12}
    local result = ""
    local fractionPart = num % 1 -- Get the fractional part of the number
    num = num - fractionPart -- Remove the fractional part from the number

    -- Convert the whole number part to Roman numerals
    for i, value in ipairs(values) do
        while num >= value do
            num = num - value
            if numerals[i] then -- Check if the numeral exists for the index
                result = result .. numerals[i]
            else
                print("Error: Index out of bounds for numerals array or Mismatched numerals.") -- Error handler
                break
            end
        end
    end

    -- Convert the fractional part to Roman numerals
    local addedFractions = 0 -- Keep track of added fractions to avoid going over 1
    for i, value in ipairs(fractionValues) do
        while fractionPart >= value and addedFractions + value <= 1 do
            fractionPart = fractionPart - value
            addedFractions = addedFractions + value
            result = result .. fractionSymbols[i]
        end
    end

    return result
end

-- Function to perform addition over time
local function addOverTime(startValue, increment, duration)
    local currentValue = startValue
    print(toRoman(currentValue))
    for i = 1, duration do
        wait(tickSpeed) -- Wait
        currentValue = currentValue + increment
        print(toRoman(currentValue))
    end
end

-- Starting Value, Increment, Tick Duration
addOverTime(startValue, increment, duration)