malachite-q 0.9.2

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::UnsignedAbs;
use malachite_base::num::basic::traits::One;
use malachite_nz::integer::Integer;
use malachite_nz::natural::Natural;

impl From<Integer> for Rational {
    /// Converts an [`Integer`] to a [`Rational`], taking the [`Integer`] by value.
    ///
    /// # Worst-case complexity
    /// Constant time and additional memory.
    ///
    /// # Examples
    /// ```
    /// use malachite_nz::integer::Integer;
    /// use malachite_q::Rational;
    ///
    /// assert_eq!(Rational::from(Integer::from(123)), 123);
    /// assert_eq!(Rational::from(Integer::from(-123)), -123);
    /// ```
    fn from(value: Integer) -> Self {
        Self {
            sign: value >= 0,
            numerator: value.unsigned_abs(),
            denominator: Natural::ONE,
        }
    }
}

impl From<&Integer> for Rational {
    /// Converts an [`Integer`] to a [`Rational`], taking the [`Integer`] by reference.
    ///
    /// # Worst-case complexity
    /// $T(n) = O(n)$
    ///
    /// $M(n) = O(n)$
    ///
    /// where $T$ is time, $M$ is additional memory, and $n$ is `value.significant_bits()`.
    ///
    /// # Examples
    /// ```
    /// use malachite_nz::integer::Integer;
    /// use malachite_q::Rational;
    ///
    /// assert_eq!(Rational::from(&Integer::from(123)), 123);
    /// assert_eq!(Rational::from(&Integer::from(-123)), -123);
    /// ```
    fn from(value: &Integer) -> Self {
        Self {
            sign: *value >= 0,
            numerator: value.unsigned_abs(),
            denominator: Natural::ONE,
        }
    }
}