InfiniteMath | Go above 10^308/1e+308!

Computer_squad156 · August 13, 2023, 3:38pm

Heya, following up on this - could you publish this to Wally, as that would be useful for many people wanting to use libraries as such.

KdudeDev · August 13, 2023, 9:31pm

We actually already have Wally setup!

Computer_squad156 · August 15, 2023, 10:23am

My bad, just realized it a bit back.

I’d also like to append a feature request here: would be cool to have bitwise operator support for InfiniteMath, I can see this especially useful in cryptography.

KdudeDev · September 10, 2023, 2:04pm

1.3.3 is here, very small update to fix an error.

Fixed an error with round between 1e+100 and 1e+299

KdudeDev · September 10, 2023, 2:26pm

Ok should have look around a little more haha, 1.3.4 here with another tiny fix

Improves Reverse by removing string usage, and instead solving the scientific notation equation ({5, 7} = 5 * 10^7 = 50000000). This fixes an error with very small decimals that use e-.

KdudeDev · September 13, 2023, 2:49pm

1.3.5 is here, with performance improvements thanks to Native Code Gen

Marks the module as native (with --!native) to increase performance.

Using this function before this update will take approx 2.6201 seconds. After this update it takes approx 1.6117 seconds (38.48% improvement). Certain functions are impacted more than others (only using new results in an 8.45% improvement)

local IM = require(game.ReplicatedStorage.InfiniteMath)

local ticker = tick()

for i = 1, 100000 do
	local Num = IM.new(i)
	
	Num *= i
	
	Num ^= i
	
	Num = IM.round(Num)
end

print(tick() - ticker)

Currently, you need to enable the Luau Native Code beta to see the effects, and live servers will not be impacted.

KdudeDev · October 27, 2023, 12:49am

1.3.6 is here. This update fixes a few bugs.

Fixed an issue with InfiniteMath.new() where strings such as "1e+5" or "50000" would error.
Fixed an issue where if DECIMALPOINT cuts off the decimal of a number display such as 10.00025, it would display with zeros after the point, like 10.00. If the decimal of a displaying number (using GetSuffix) is equal to 0, it will be removed. 10.00 turns into 10.
Fixed an issue where super low decimals that get turned into Scientific Notation, such as 5e-5 which equals 0.00005 would cause multiple errors.

au_tk · October 27, 2023, 1:16am

I’m sorry but you seem to have made a misleading and very minor mistake. 10^10^308 is vastly different from 10^^308. 10^^308 is actually 10^10^10^…^10 308 times in total.

10^^308 in full length:

10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10
(a tad bit larger than 10^10^308)

KdudeDev · October 27, 2023, 1:30am

The limit actually is 10^^308 (10^10^10…^10 308 times.)

local IM = require(game.ReplicatedStorage.InfiniteMath)

local Num = IM.new(10)

for i = 1, 308 do
	Num = Num^10
end

print(Num.first, Num.second, Num)

This code prints the coefficient, the exponent, and the scientific notation of the number.

1 9.999999999999998e+307 1e+99.99UC is the print, coefficient is 1 and exponent is basically 1e+308.

I don’t believe I say the limit is 10^10^308 anywhere, unless I missed it when I was replacing it with 10^^308. Can you let me know where it says 10^10^308?

au_tk · October 27, 2023, 1:42am

My bad. I guess I was thrown off at the start by

It doesn’t directly state 10^10^308 but I pretty quickly assumed that’s what you were referring to.

KdudeDev · October 27, 2023, 7:25am

Ah its okay, at one point the post said it was 10^10^308 before I learned its actually 10^^308, so I thought it might still say that somewhere.

KdudeDev · December 30, 2023, 5:21pm

1.3.7 is here with some bug fixes!

Fixes the .00 fix not working with DECIMALPOINT not being 2, .000 or .0 will now be fixed just like .00.
Fixed .99 showing up at the end of numbers that are very close to being whole. For example 5 might be stored as 4.99999999999523525, displaying as 4.99 (decimal amount depending on DECIMALPOINT), numbers ending in a decimal very close to 1 will now be rounded up. 4.99999999999523525 will display as 5.
Fixed numbers below 1 not using DECIMALPOINT in :GetSuffix().
Fix C stack overflow error when using .__concat with an InfiniteMath number as the second parameter
Improved pow is not a valid power error for .__pow, the error now explains that if your power is inf you need to keep it below 10^308.

KdudeDev · January 7, 2024, 6:23pm

1.3.8 has been released with some more fixes/improvements, and a new doc on using datastores with InfiniteMath.

Fixed a bug with very small numbers (that get stored as scientific notation, like 1e-15) displaying incorrectly.
Improves InfiniteMath.round(), reduces cases of incorrectly picking ceil or floor over the other.
Added a new Datastore Implementation page to the docs website.
Corrects a mistake in the Suffixes module, QNV (Quinvigintillion) was instead QNT, even though there is already QNT (Quattuornonagintaducentillion).
Improves some type checking that was added 1.3.7, .new() no longer throws a warning with tables or InfiniteMath numbers.

realpackiewolf · January 7, 2024, 8:56pm

Thank you! Finally I can do my astro physics homework in Roblox

StinksSquad · January 10, 2024, 5:36am

Tbh I like the concept of it but I still prefer EternityNum (Old) by @FoundForces because it’s useful for games and I don’t need to code in suffixes because it’s already preset to 1e(1.78*10^308) and plus it’s easy to learn.

KdudeDev · January 10, 2024, 5:44am

I’m confused what you mean by “code in suffixes”. Do you mean you want to be able to display numbers in scientific notation? The module has plenty of documentation so its very easy to learn as well.

KdudeDev · January 10, 2024, 10:15pm

1.3.9 is out with more fixes and a new function, SetValue!

Fix comparisons not correctly comparing negative and positive numbers. -45 > 0 would return true, this would impact comparison and any function that used it (min, max, clamp, etc.). It now correctly returns false.
Adds a new :SetValue() function. This sets the value of a constructed number, which is better practice than creating a new number with a different value as it doesn’t need to create new metatable (better for memory I believe). The function takes a new first and second and sets the first and second of the constructed number to the new values.
Fixed an error with :ConvertFromLeaderboards() when given 0.
Fixed an issue with :aaNotation() where instead of using z it would use scientific notation.

GlitchedAli · January 12, 2024, 2:35pm

idk if you answered it, but if you have 1e+2M cash
will it be actually 1 with 2M zeros?

KdudeDev · January 12, 2024, 8:36pm

Short answer, yes.

Long answer, we store the coefficient and exponent of the number, to store 1e+2M we would just store {1, 2000000}. The modules arithmetic is built to work with the coefficient and exponent being separated, so we can do math still. So even if we’re storing 1 and 2M, we mathematically have 1e+2M.

TheLegendaryDragon99 · January 12, 2024, 9:22pm

1 iotaCoin pls; magic!! Anyway it is needed that we have limits in