1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32

use malachite_base::num::arithmetic::traits::PowerOf2;
use malachite_base::num::basic::traits::One;
use natural::Natural;

impl PowerOf2<u64> for Natural {
    /// Raises 2 to an integer power.
    ///
    /// $f(k) = 2^k$.
    ///
    /// # Worst-case complexity
    /// $T(n) = O(n)$
    ///
    /// $M(n) = O(n)$
    ///
    /// where $T$ is time, $M$ is additional memory, and $n$ is `pow`.
    ///
    /// # Examples
    /// ```
    /// extern crate malachite_base;
    ///
    /// use malachite_base::num::arithmetic::traits::PowerOf2;
    /// use malachite_nz::natural::Natural;
    ///
    /// assert_eq!(Natural::power_of_2(0), 1);
    /// assert_eq!(Natural::power_of_2(3), 8);
    /// assert_eq!(Natural::power_of_2(100).to_string(), "1267650600228229401496703205376");
    /// ```
    #[inline]
    fn power_of_2(pow: u64) -> Natural {
        Natural::ONE << pow
    }
}