How to center-bias math.random()?

[coolalex1835 (Waltuh)]

How can I use math.random()'s outputs to be biased towards a central value of 0.5. With values closer to 0.5 being the most commonly generated whilst values near 0 or 1 are rarer generated. Do I need to use sine with this or is there another method?

I don’t exactly know the search term for this topic so please send a link to an answer to this topic if you know it.

[DemonLordShadox (Igris)]

I don’t know anything about this subject, but this reminds me of Perlin Noise, where it randomly generates positions close to the other object’s position, which may help you.

Basics of using Perlin Noise (2D Based)

Just typed it up in segments through the day at school This is a tutorial for the 3D math function called perlin noise, used for “fog screens” and random terrain generation, and perlin worms. What is the function The function for perlin noise is very simple: math.noise(X,Y,Seed) X is your… X value, Y is your Y or Z value, and the seed is the seed used to calculate the numbers. If the seed is greater than 0 and less than 1, the Y value will be between -1 and 1. It’s common range is -0.5 to …

[dthecoolest]

Interesting question.

The answer should be known as norm distribution.

I was able to find this library with the knowledge of that name.

--[[ Continuous Distributions ]]--

--[[**
	Samples from a standard normal distribution (mean = 0, variance = 1)
	Implementation is based on the Box-Muller (1958) transformation
	@returns [t:number] A number sampled from the defined distribution
**--]]
statistics.distributions.standardNormal = function ()
	local u1, u2
	repeat u1 = math.random() u2 = math.random() until u1 > 0.0001

	local logPiece = math.sqrt(-2 * math.log(u1))
	local cosPiece = math.cos(2 * math.pi * u2)

	return logPiece * cosPiece
end

Lua Statistics Library

I’ve created a GitHub repository for a new open-source Lua module, built primarily for Roblox. It’s name is Lua Statistics (moved to be owned by Bytebit). As a graduating computer science major, and especially as one who studies artificial intelligence as a depth area, I’ve gotten very used to using probability distributions and statistical functions in my projects. However, in Roblox, I’ve always sort of just written my own functions to do this. I decided to put those functions together, clean…