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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::gaussian_integer::GaussianInteger;
use crate::natural::Natural;
use core::cmp::max;
use malachite_base::num::arithmetic::traits::{Height, HeightRef, UnsignedAbs};
use malachite_base::num::logic::traits::SignificantBits;
impl Height for GaussianInteger {
type Output = Natural;
/// Returns the height of a [`GaussianInteger`]: the larger of the absolute values of its real
/// and imaginary parts, taking the [`GaussianInteger`] by reference and cloning.
///
/// $$
/// f(a + bi) = H(a + bi) = \max(|a|, |b|).
/// $$
///
/// # 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 core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Height;
/// use malachite_nz::gaussian_integer::GaussianInteger;
///
/// assert_eq!(GaussianInteger::from_str("3-5i").unwrap().to_height(), 5);
/// assert_eq!(GaussianInteger::from_str("-7").unwrap().to_height(), 7);
/// assert_eq!(GaussianInteger::from_str("0").unwrap().to_height(), 0);
/// ```
#[inline]
fn to_height(&self) -> Natural {
self.height_ref().clone()
}
/// Returns the height of a [`GaussianInteger`]: the larger of the absolute values of its real
/// and imaginary parts, taking the [`GaussianInteger`] by value.
///
/// The larger part is moved out rather than cloned.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Height;
/// use malachite_nz::gaussian_integer::GaussianInteger;
///
/// assert_eq!(GaussianInteger::from_str("3-5i").unwrap().into_height(), 5);
/// assert_eq!(GaussianInteger::from_str("0").unwrap().into_height(), 0);
/// ```
#[inline]
fn into_height(self) -> Natural {
max(self.real.unsigned_abs(), self.imaginary.unsigned_abs())
}
/// Returns the number of significant bits of the height of a [`GaussianInteger`].
///
/// Since bit length is monotone, this is the larger of the two parts' bit lengths, without
/// materializing the height.
///
/// # Worst-case complexity
/// Constant time and additional memory.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::Height;
/// use malachite_nz::gaussian_integer::GaussianInteger;
///
/// assert_eq!(
/// GaussianInteger::from_str("3-5i")
/// .unwrap()
/// .height_significant_bits(),
/// 3
/// );
/// assert_eq!(
/// GaussianInteger::from_str("0")
/// .unwrap()
/// .height_significant_bits(),
/// 0
/// );
/// ```
#[inline]
fn height_significant_bits(&self) -> u64 {
max(
self.real.significant_bits(),
self.imaginary.significant_bits(),
)
}
}
impl HeightRef for GaussianInteger {
/// Returns a reference to the height of a [`GaussianInteger`]: the larger of the absolute
/// values of its real and imaginary parts.
///
/// An [`Integer`](crate::integer::Integer) holds its magnitude as a [`Natural`], so the height
/// is already there to be lent and nothing needs to be built.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.significant_bits()`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::HeightRef;
/// use malachite_nz::gaussian_integer::GaussianInteger;
///
/// assert_eq!(*GaussianInteger::from_str("3-5i").unwrap().height_ref(), 5);
/// assert_eq!(*GaussianInteger::from_str("0").unwrap().height_ref(), 0);
/// ```
#[inline]
fn height_ref(&self) -> &Natural {
max(
self.real.unsigned_abs_ref(),
self.imaginary.unsigned_abs_ref(),
)
}
}