I need to compute the factorial of a set of large numbers. What is the best way to do this? Bearing in mind I need it done as quickly as possible. Should I use the gamma function and if so how do I accomplish this in Java. Thanks James [ October 28, 2002: Message edited by: James Kerruish ]
If you really needed to do it "as quickly as possible", you should probably program it in assembler, not in Java. But I guess you didn't really mean that, so, what are your actual performance constraints? Are you sure that a simple algorithm wouldn't suffice???
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A gamma function? I seriously doubt it's useful here - for integer values, it's much simpler to use a straightforward factorial implementation. If that's not good enough, for your situation (calculating factorials for many numbers) it might well be worthwhile to pre-generate a table, something like this:
Of course, you can adjust MAX_INPUT as desired. And I believe BigIntegerused to be annoyingly slow, but has since been improved. You may wish to replace BigInteger with a custom class if you're using an older JDK version. And of course, if you're not interested in the factorial of any number larger than 20, you can just use a long rather than BigInteger. [ October 28, 2002: Message edited by: Jim Yingst ]