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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::Rational;
use malachite_base::num::conversion::traits::ConvertibleFrom;
use malachite_nz::gaussian_integer::GaussianInteger;
#[derive(Clone, Copy, Debug, Eq, PartialEq)]
pub struct RationalFromGaussianIntegerError;
impl TryFrom<GaussianInteger> for Rational {
type Error = RationalFromGaussianIntegerError;
/// Converts a [`GaussianInteger`] to a [`Rational`], taking the [`GaussianInteger`] by value.
/// If the [`GaussianInteger`] is not real, an error is returned.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use malachite_q::Rational;
/// use malachite_q::rational::conversion::from_gaussian_integer::*;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("123").unwrap();
/// assert_eq!(Rational::try_from(x).unwrap(), 123);
///
/// let x = GaussianInteger::from_str("-123").unwrap();
/// assert_eq!(Rational::try_from(x).unwrap(), -123);
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// assert_eq!(Rational::try_from(x), Err(RationalFromGaussianIntegerError));
/// ```
fn try_from(x: GaussianInteger) -> Result<Self, Self::Error> {
if x.imaginary == 0u32 {
Ok(Self::from(x.real))
} else {
Err(RationalFromGaussianIntegerError)
}
}
}
impl TryFrom<&GaussianInteger> for Rational {
type Error = RationalFromGaussianIntegerError;
/// Converts a [`GaussianInteger`] to a [`Rational`], taking the [`GaussianInteger`] by
/// reference. If the [`GaussianInteger`] is not real, an error is returned.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `x.real.significant_bits()`.
///
/// # Examples
/// ```
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use malachite_q::Rational;
/// use malachite_q::rational::conversion::from_gaussian_integer::*;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("123").unwrap();
/// assert_eq!(Rational::try_from(&x).unwrap(), 123);
///
/// let x = GaussianInteger::from_str("-123").unwrap();
/// assert_eq!(Rational::try_from(&x).unwrap(), -123);
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// assert_eq!(
/// Rational::try_from(&x),
/// Err(RationalFromGaussianIntegerError)
/// );
/// ```
fn try_from(x: &GaussianInteger) -> Result<Self, Self::Error> {
if x.imaginary == 0u32 {
Ok(Self::from(&x.real))
} else {
Err(RationalFromGaussianIntegerError)
}
}
}
impl ConvertibleFrom<&GaussianInteger> for Rational {
/// Determines whether a [`GaussianInteger`] can be converted to a [`Rational`] (that is,
/// whether it is real), taking the [`GaussianInteger`] by reference.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use malachite_base::num::conversion::traits::ConvertibleFrom;
/// use malachite_nz::gaussian_integer::GaussianInteger;
/// use malachite_q::Rational;
/// use std::str::FromStr;
///
/// let x = GaussianInteger::from_str("123").unwrap();
/// assert_eq!(Rational::convertible_from(&x), true);
///
/// let x = GaussianInteger::from_str("-123").unwrap();
/// assert_eq!(Rational::convertible_from(&x), true);
///
/// let x = GaussianInteger::from_str("2-3i").unwrap();
/// assert_eq!(Rational::convertible_from(&x), false);
/// ```
#[inline]
fn convertible_from(x: &GaussianInteger) -> bool {
x.imaginary == 0u32
}
}