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use crate::integer::Integer;
use crate::natural::Natural;
use malachite_base::num::basic::traits::One;
use malachite_base::num::logic::traits::NotAssign;
use std::ops::Not;
impl Not for Integer {
type Output = Integer;
/// Returns the bitwise negation of an [`Integer`], taking it by value.
///
/// $$
/// f(n) = -n - 1.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// extern crate malachite_base;
///
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::integer::Integer;
///
/// assert_eq!(!Integer::ZERO, -1);
/// assert_eq!(!Integer::from(123), -124);
/// assert_eq!(!Integer::from(-123), 122);
/// ```
#[inline]
fn not(mut self) -> Integer {
self.not_assign();
self
}
}
impl<'a> Not for &'a Integer {
type Output = Integer;
/// Returns the bitwise negation of an [`Integer`], taking it by reference.
///
/// $$
/// f(n) = -n - 1.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// extern crate malachite_base;
///
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::integer::Integer;
///
/// assert_eq!(!&Integer::ZERO, -1);
/// assert_eq!(!&Integer::from(123), -124);
/// assert_eq!(!&Integer::from(-123), 122);
/// ```
fn not(self) -> Integer {
match *self {
Integer {
sign: true,
ref abs,
} => Integer {
sign: false,
abs: abs.add_limb_ref(1),
},
Integer {
sign: false,
ref abs,
} => Integer {
sign: true,
abs: abs.sub_limb_ref(1),
},
}
}
}
impl NotAssign for Integer {
/// Replaces an [`Integer`] with its bitwise negation.
///
/// $$
/// n \gets -n - 1.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// extern crate malachite_base;
///
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_base::num::logic::traits::NotAssign;
/// use malachite_nz::integer::Integer;
///
/// let mut x = Integer::ZERO;
/// x.not_assign();
/// assert_eq!(x, -1);
///
/// let mut x = Integer::from(123);
/// x.not_assign();
/// assert_eq!(x, -124);
///
/// let mut x = Integer::from(-123);
/// x.not_assign();
/// assert_eq!(x, 122);
/// ```
fn not_assign(&mut self) {
if self.sign {
self.sign = false;
self.abs += Natural::ONE;
} else {
self.sign = true;
self.abs -= Natural::ONE;
}
}
}