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Do you need total precision? Using one of the 'BigMath' modules would allow you to get complete accuracy, but calculating large factorials will consume large amounts of memory and take a long time. Using one of the Cbased math packages will calculate a lot faster but will discard some accuracy. By way of example, the following both produce the same results to 30+ significant digits, which as your probabilities will be in the range 0>1 or percentanges, you're probably only interested in 2 or 3 digits of accuracy in the final result. Using Math::Pari, factorial( 19937 ) takes a second or so:
Using Math::BigInt takes over 100 seconds to do the same thing:
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In reply to Re: Fastest way to calculate hypergeometric distribution probabilities (i.e. BIG factorials)?
by BrowserUk

