Weighted/Biased Random Number Generation with JavaScript based on Probability

http://codetheory.in/weighted-biased-random-number-generation-with-javascript-based-on-probability/

by luzon19 • 13 years ago

19 4 13 years ago

codetheory.in

mrcactu5• 13 years ago

You can take relative weights (a,b,c) and take the partial sums:

(0,a,a+b,a+b+c)

random() gives values in [0,1], so divide your numbers by a + b + c.

Generating random structures is the tip of a very big iceberg.

jere• 13 years ago

I came up with something pretty similar while generating items. However, the following code gets pretty hard to read with lots of items because the values don't line up. And while balancing, you will want to be able to read and modify it very easily:

>var list = ['javascript', 'php', 'ruby', 'python']; var weight = [0.5, 0.2, 0.2, 0.1];

You could instead put each into an object: { language: 'javascript', weight: 0.5 }

My code (in the itemRoll function) demonstrates this, but it is a little bit more rolled out because I was instantiating objects: http://humbit.com/rogue/afsahr-v1.2/js/inventory.js

BadCRC• 13 years ago

why not have a dynamic multiplier based on the weights? rather than just 100x

dllu• 13 years ago

For method 2, if you precompute the cumulative distribution function, you can do a binary search which is only O(log N) instead of O(N).

Weighted/Biased Random Number Generation with JavaScript based on Probability

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