malachite-q 0.12.0

The arbitrary-precision type Rational, with efficient algorithms partially derived from GMP and FLINT.
Documentation
// 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::Rational;
use malachite_base::num::arithmetic::traits::{
    Abs, AbsAssign, CanonicalizeUnit, CanonicalizeUnitAssign,
};

impl CanonicalizeUnit for Rational {
    type Output = Self;

    /// Brings a [`Rational`] into canonical unit form, taking it by value. The canonical unit form
    /// of a [`Rational`] is its absolute value.
    ///
    /// # Worst-case complexity
    /// Constant time and additional memory.
    ///
    /// # Examples
    /// ```
    /// use malachite_base::num::arithmetic::traits::CanonicalizeUnit;
    /// use malachite_q::Rational;
    ///
    /// assert_eq!(
    ///     Rational::from_signeds(-22, 7)
    ///         .canonicalize_unit()
    ///         .to_string(),
    ///     "22/7"
    /// );
    /// ```
    #[inline]
    fn canonicalize_unit(self) -> Self {
        self.abs()
    }
}

impl CanonicalizeUnit for &Rational {
    type Output = Rational;

    /// Brings a [`Rational`] into canonical unit form, taking it by reference. The canonical unit
    /// form of a [`Rational`] is its absolute value.
    ///
    /// # 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::CanonicalizeUnit;
    /// use malachite_q::Rational;
    ///
    /// assert_eq!(
    ///     (&Rational::from_signeds(-22, 7))
    ///         .canonicalize_unit()
    ///         .to_string(),
    ///     "22/7"
    /// );
    /// ```
    #[inline]
    fn canonicalize_unit(self) -> Rational {
        self.abs()
    }
}

impl CanonicalizeUnitAssign for Rational {
    /// Replaces a [`Rational`] with its canonical unit form. The canonical unit form of a
    /// [`Rational`] is its absolute value.
    ///
    /// # Worst-case complexity
    /// Constant time and additional memory.
    ///
    /// # Examples
    /// ```
    /// use malachite_base::num::arithmetic::traits::CanonicalizeUnitAssign;
    /// use malachite_q::Rational;
    ///
    /// let mut x = Rational::from_signeds(-22, 7);
    /// x.canonicalize_unit_assign();
    /// assert_eq!(x.to_string(), "22/7");
    /// ```
    #[inline]
    fn canonicalize_unit_assign(&mut self) {
        self.abs_assign();
    }
}