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Q Language 不動点コンビネータ
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{ } | |
{ 不動点コンビネータだよ〜 } | |
{ https://ja.wikipedia.org/wiki/不動点コンビネータ } | |
{ } | |
func Times(n: int, f: func<(int)>) | |
for i(1, n) | |
f(i) | |
end for | |
end func | |
func FixedPoint`[T](f: func<(func<(T):T>):func<(T):T>>): func<(T):T> | |
return func(x: T): T | |
return f(FixedPoint`[T](f))(x) | |
end func | |
end func | |
func AppMain() | |
var fac:: FixedPoint`[int](func(fac:func<(int):int>): func<(int):int> | |
return func(x: int): int | |
return (x = 0) ? (1, x * fac(x - 1)) | |
end func | |
end func) | |
Times(20, func(i: int) | |
Dbg@Log(i.ToStr() ~ "! = " ~ fac(i).ToStr()) | |
end func) | |
Q@Stop() | |
end func | |
{ { 出力 } | |
1! = 1 | |
2! = 2 | |
3! = 6 | |
4! = 24 | |
5! = 120 | |
6! = 720 | |
7! = 5040 | |
8! = 40320 | |
9! = 362880 | |
10! = 3628800 | |
11! = 39916800 | |
12! = 479001600 | |
13! = 6227020800 | |
14! = 87178291200 | |
15! = 1307674368000 | |
16! = 20922789888000 | |
17! = 355687428096000 | |
18! = 6402373705728000 | |
19! = 121645100408832000 | |
20! = 2432902008176640000 | |
} { } |
intは64ビット符号付き整数なのでオーバーフローしてしまいます (Q言語ではintのオーバーフローはエラー扱いされます)
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40!とか50!とかだと厳しいですか?