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// Copyright © 2026 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.
use crate::integer::Integer;
use malachite_base::num::arithmetic::traits::{Parity, Pow, PowAssign};
impl Pow<u64> for Integer {
type Output = Self;
/// Raises an [`Integer`] to a power, taking the [`Integer`] by value.
///
/// $f(x, n) = x^n$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log (nm) \log\log (nm))$
///
/// $M(n, m) = O(nm \log (nm))$
///
/// where $T$ is time, $M$ is additional memory, $n$ is `self.significant_bits()`, and $m$ is
/// `exp`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Pow;
/// use malachite_nz::integer::Integer;
///
/// assert_eq!(
/// Integer::from(-3).pow(100).to_string(),
/// "515377520732011331036461129765621272702107522001"
/// );
/// assert_eq!(
/// Integer::from_str("-12345678987654321")
/// .unwrap()
/// .pow(3)
/// .to_string(),
/// "-1881676411868862234942354805142998028003108518161"
/// );
/// ```
#[inline]
fn pow(mut self, exp: u64) -> Self {
self.pow_assign(exp);
self
}
}
impl Pow<u64> for &Integer {
type Output = Integer;
/// Raises an [`Integer`] to a power, taking the [`Integer`] by reference.
///
/// $f(x, n) = x^n$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log (nm) \log\log (nm))$
///
/// $M(n, m) = O(nm \log (nm))$
///
/// where $T$ is time, $M$ is additional memory, $n$ is `self.significant_bits()`, and $m$ is
/// `exp`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Pow;
/// use malachite_nz::integer::Integer;
///
/// assert_eq!(
/// (&Integer::from(-3)).pow(100).to_string(),
/// "515377520732011331036461129765621272702107522001"
/// );
/// assert_eq!(
/// (&Integer::from_str("-12345678987654321").unwrap())
/// .pow(3)
/// .to_string(),
/// "-1881676411868862234942354805142998028003108518161"
/// );
/// ```
#[inline]
fn pow(self, exp: u64) -> Integer {
Integer {
sign: exp.even() || self.sign,
abs: (&self.abs).pow(exp),
}
}
}
impl PowAssign<u64> for Integer {
/// Raises an [`Integer`] to a power in place.
///
/// $x \gets x^n$.
///
/// # Worst-case complexity
/// $T(n, m) = O(nm \log (nm) \log\log (nm))$
///
/// $M(n, m) = O(nm \log (nm))$
///
/// where $T$ is time, $M$ is additional memory, $n$ is `self.significant_bits()`, and $m$ is
/// `exp`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::PowAssign;
/// use malachite_nz::integer::Integer;
///
/// let mut x = Integer::from(-3);
/// x.pow_assign(100);
/// assert_eq!(
/// x.to_string(),
/// "515377520732011331036461129765621272702107522001"
/// );
///
/// let mut x = Integer::from_str("-12345678987654321").unwrap();
/// x.pow_assign(3);
/// assert_eq!(
/// x.to_string(),
/// "-1881676411868862234942354805142998028003108518161"
/// );
/// ```
fn pow_assign(&mut self, exp: u64) {
self.sign = self.sign || exp.even();
self.abs.pow_assign(exp);
}
}