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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::{AbsSquared, AbsSquaredAssign, Square, SquareAssign};
impl AbsSquared for Float {
type Output = Self;
/// Computes the squared absolute value of a [`Float`], taking it by value. For real types this
/// is the same as squaring: the output has the precision of the input and is rounded to
/// nearest. See [`Float::square`] for more details, and the `square_prec` and `square_round`
/// families for more control over the result.
///
/// $$
/// f(x) = |x|^2 = x^2.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::AbsSquared;
/// use malachite_base::num::basic::traits::{Infinity, NaN, NegativeInfinity};
/// use malachite_float::Float;
///
/// assert_eq!(Float::NAN.abs_squared().to_string(), "NaN");
/// assert_eq!(Float::INFINITY.abs_squared().to_string(), "Infinity");
/// assert_eq!(
/// Float::NEGATIVE_INFINITY.abs_squared().to_string(),
/// "Infinity"
/// );
/// assert_eq!(Float::from(4.0).abs_squared().to_string(), "16.0");
/// assert_eq!(Float::from(-1.5).abs_squared().to_string(), "2.0");
/// ```
#[inline]
fn abs_squared(self) -> Self {
self.square()
}
}
impl AbsSquared for &Float {
type Output = Float;
/// Computes the squared absolute value of a [`Float`], taking it by reference. For real types
/// this is the same as squaring: the output has the precision of the input and is rounded to
/// nearest. See [`Float::square`] for more details, and the `square_prec` and `square_round`
/// families for more control over the result.
///
/// $$
/// f(x) = |x|^2 = x^2.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::AbsSquared;
/// use malachite_base::num::basic::traits::{Infinity, NaN, NegativeInfinity};
/// use malachite_float::Float;
///
/// assert_eq!((&Float::NAN).abs_squared().to_string(), "NaN");
/// assert_eq!((&Float::INFINITY).abs_squared().to_string(), "Infinity");
/// assert_eq!(
/// (&Float::NEGATIVE_INFINITY).abs_squared().to_string(),
/// "Infinity"
/// );
/// assert_eq!((&Float::from(4.0)).abs_squared().to_string(), "16.0");
/// assert_eq!((&Float::from(-1.5)).abs_squared().to_string(), "2.0");
/// ```
#[inline]
fn abs_squared(self) -> Float {
self.square()
}
}
impl AbsSquaredAssign for Float {
/// Replaces a [`Float`] with its squared absolute value. For real types this is the same as
/// squaring in place.
///
/// $$
/// x \gets |x|^2 = x^2.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::AbsSquaredAssign;
/// use malachite_float::Float;
///
/// let mut x = Float::from(-1.5);
/// x.abs_squared_assign();
/// assert_eq!(x.to_string(), "2.0");
/// ```
#[inline]
fn abs_squared_assign(&mut self) {
self.square_assign();
}
}