Last data update: 2014.03.03
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R: Factorial and Binomial Coefficient as Big Integer
factorialZ | R Documentation |
Factorial and Binomial Coefficient as Big Integer
Description
Efficiently compute the factorial n! or a binomial coefficient
choose(n, k) as big integer (class bigz ).
Usage
factorialZ(n)
chooseZ(n, k)
Arguments
n |
non-negative integer (vector), for
factorialZ . For chooseZ , may be a bigz big
integer, also negative.
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k |
non-negative integer vector.
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Value
a vector of big integers, i.e., of class bigz .
See Also
factorial and gamma in base R;
Examples
factorialZ(0:10)# 1 1 2 6 ... 3628800
factorialZ(0:40)# larger
factorialZ(200)
n <- 1000
f1000 <- factorialZ(n)
stopifnot(1e-15 > abs(as.numeric(1 - lfactorial(n)/log(f1000))))
system.time(replicate(8, f1e4 <<- factorialZ(10000)))
nchar(as.character(f1e4))# 35660 ... (too many to even look at ..)
chooseZ(1000, 100:102)# vectorizes
chooseZ(as.bigz(2)^120, 10)
n <- c(50,80,100)
k <- c(20,30,40)
## currently with an undesirable warning: % from methods/src/eval.c _FIXME_
stopifnot(chooseZ(n,k) == factorialZ(n) / (factorialZ(k)*factorialZ(n-k)))
Results
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