是否有用于计算R中的大阶乘的软件包或技术? [英] Is there a package or technique availabe for calculating large factorials in R?

问题描述

如果我计算factorial(100)，那么我得到[1] 9.332622e+157的答案，但是当我尝试计算更大的阶乘时，说factorial(1000)我得到的答案是[1] Inf

If I calculate factorial(100) then I get an answer of [1] 9.332622e+157 but when I try to calculate a larger factorial, say factorial(1000) I get an answer of [1] Inf

在计算阶乘时是否可以使用任意精度，这样我就可以计算出factorial(1000000)?

Is there a way to use arbitrary precision when calculating factorials such that I can calculate say factorial(1000000)?

推荐答案

对于任意精度，可以使用gmp或Rmpfr.对于专门的阶乘gmp，提供factorialZ，而Rmpfr具有factorialMpfr.因此，您可以运行以下内容

For arbitrary precision you can use either gmp or Rmpfr. For specifically factorial gmp offers factorialZ and Rmpfr has factorialMpfr. So you can run something like below

> Rmpfr::factorialMpfr(200)
1 'mpfr' number of precision  1246   bits 
[1] 788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000000
> gmp::factorialZ(200)
Big Integer ('bigz') :
[1] 788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000000

HTH

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