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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::Float;
use malachite_base::num::arithmetic::traits::{Conjugate, ConjugateAssign};
impl Conjugate for Float {
type Output = Self;
/// Computes the complex conjugate of a [`Float`], taking it by value. A real number is its own
/// conjugate, so this is the identity; even `NaN` is returned unchanged.
///
/// $$
/// f(x) = \overline{x} = x.
/// $$
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::Conjugate;
/// use malachite_float::{ComparableFloat, Float};
///
/// assert_eq!(
/// ComparableFloat(Float::from(-1.5).conjugate()),
/// ComparableFloat(Float::from(-1.5))
/// );
/// ```
#[inline]
fn conjugate(self) -> Self {
self
}
}
impl Conjugate for &Float {
type Output = Float;
/// Computes the complex conjugate of a [`Float`], taking it by reference. A real number is its
/// own conjugate, so this just clones; even `NaN` is returned unchanged.
///
/// $$
/// f(x) = \overline{x} = x.
/// $$
///
/// # 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
/// ```
/// use malachite_base::num::arithmetic::traits::Conjugate;
/// use malachite_float::{ComparableFloat, Float};
///
/// assert_eq!(
/// ComparableFloat((&Float::from(-1.5)).conjugate()),
/// ComparableFloat(Float::from(-1.5))
/// );
/// ```
#[inline]
fn conjugate(self) -> Float {
self.clone()
}
}
impl ConjugateAssign for Float {
/// Replaces a [`Float`] with its complex conjugate. A real number is its own conjugate, so this
/// does nothing.
///
/// $$
/// x \gets \overline{x} = x.
/// $$
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::ConjugateAssign;
/// use malachite_float::{ComparableFloat, Float};
///
/// let mut x = Float::from(-1.5);
/// x.conjugate_assign();
/// assert_eq!(ComparableFloat(x), ComparableFloat(Float::from(-1.5)));
/// ```
#[inline]
fn conjugate_assign(&mut self) {}
}