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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::integer_vector::arithmetic::content_chained::content_chained_helper;
use crate::natural::Natural;
use crate::natural_vector::NaturalVector;
use malachite_base::num::arithmetic::traits::ContentChained;
impl ContentChained<Natural> for NaturalVector {
type Output = Natural;
/// Computes the GCD of `x` and the elements of a [`NaturalVector`], taking the vector by value
/// and `x` by value.
///
/// The GCD of `x` and the elements of the 0-dimensional vector, or of a vector of zeros, is
/// `x`. The computation stops as soon as the GCD reaches 1.
///
/// $$
/// f(v, x) = \gcd(x, v_0, v_1, \ldots, v_{n-1}),
/// $$
///
/// where $n$ is the dimension of $v$.
///
/// # Worst-case complexity
/// $T(n) = O(n (\log n)^2 \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `x`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ContentChained;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::natural::Natural;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(6, 4, 10)").unwrap();
/// assert_eq!(v.clone().content_chained(Natural::from(4u32)), 2u32);
/// assert_eq!(v.content_chained(Natural::ZERO), 2u32);
/// let v = NaturalVector::from_str("()").unwrap();
/// assert_eq!(v.content_chained(Natural::from(6u32)), 6u32);
/// ```
///
/// This is equivalent to `_fmpz_vec_content_chained` from `fmpz_vec/content_chained.c`, FLINT
/// 3.6.0.
#[inline]
fn content_chained(self, x: Natural) -> Natural {
content_chained_helper(&self.elements, |c| c, x)
}
}
impl ContentChained<&Natural> for NaturalVector {
type Output = Natural;
/// Computes the GCD of `x` and the elements of a [`NaturalVector`], taking the vector by value
/// and `x` by reference.
///
/// The GCD of `x` and the elements of the 0-dimensional vector, or of a vector of zeros, is
/// `x`. The computation stops as soon as the GCD reaches 1.
///
/// $$
/// f(v, x) = \gcd(x, v_0, v_1, \ldots, v_{n-1}),
/// $$
///
/// where $n$ is the dimension of $v$.
///
/// # Worst-case complexity
/// $T(n) = O(n (\log n)^2 \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `x`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ContentChained;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::natural::Natural;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(6, 4, 10)").unwrap();
/// assert_eq!(v.clone().content_chained(&Natural::from(4u32)), 2u32);
/// assert_eq!(v.content_chained(&Natural::ZERO), 2u32);
/// let v = NaturalVector::from_str("()").unwrap();
/// assert_eq!(v.content_chained(&Natural::from(6u32)), 6u32);
/// ```
///
/// This is equivalent to `_fmpz_vec_content_chained` from `fmpz_vec/content_chained.c`, FLINT
/// 3.6.0.
#[inline]
fn content_chained(self, x: &Natural) -> Natural {
content_chained_helper(&self.elements, |c| c, x.clone())
}
}
impl ContentChained<Natural> for &NaturalVector {
type Output = Natural;
/// Computes the GCD of `x` and the elements of a [`NaturalVector`], taking the vector by
/// reference and `x` by value.
///
/// The GCD of `x` and the elements of the 0-dimensional vector, or of a vector of zeros, is
/// `x`. The computation stops as soon as the GCD reaches 1.
///
/// $$
/// f(v, x) = \gcd(x, v_0, v_1, \ldots, v_{n-1}),
/// $$
///
/// where $n$ is the dimension of $v$.
///
/// # Worst-case complexity
/// $T(n) = O(n (\log n)^2 \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `x`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ContentChained;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::natural::Natural;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(6, 4, 10)").unwrap();
/// assert_eq!((&v).content_chained(Natural::from(4u32)), 2u32);
/// assert_eq!((&v).content_chained(Natural::ZERO), 2u32);
/// let v = NaturalVector::from_str("()").unwrap();
/// assert_eq!((&v).content_chained(Natural::from(6u32)), 6u32);
/// ```
///
/// This is equivalent to `_fmpz_vec_content_chained` from `fmpz_vec/content_chained.c`, FLINT
/// 3.6.0.
#[inline]
fn content_chained(self, x: Natural) -> Natural {
content_chained_helper(&self.elements, |c| c, x)
}
}
impl ContentChained<&Natural> for &NaturalVector {
type Output = Natural;
/// Computes the GCD of `x` and the elements of a [`NaturalVector`], taking the vector by
/// reference and `x` by reference.
///
/// The GCD of `x` and the elements of the 0-dimensional vector, or of a vector of zeros, is
/// `x`. The computation stops as soon as the GCD reaches 1.
///
/// $$
/// f(v, x) = \gcd(x, v_0, v_1, \ldots, v_{n-1}),
/// $$
///
/// where $n$ is the dimension of $v$.
///
/// # Worst-case complexity
/// $T(n) = O(n (\log n)^2 \log\log n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `x`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ContentChained;
/// use malachite_base::num::basic::traits::Zero;
/// use malachite_nz::natural::Natural;
/// use malachite_nz::natural_vector::NaturalVector;
///
/// let v = NaturalVector::from_str("(6, 4, 10)").unwrap();
/// assert_eq!((&v).content_chained(&Natural::from(4u32)), 2u32);
/// assert_eq!((&v).content_chained(&Natural::ZERO), 2u32);
/// let v = NaturalVector::from_str("()").unwrap();
/// assert_eq!((&v).content_chained(&Natural::from(6u32)), 6u32);
/// ```
///
/// This is equivalent to `_fmpz_vec_content_chained` from `fmpz_vec/content_chained.c`, FLINT
/// 3.6.0.
#[inline]
fn content_chained(self, x: &Natural) -> Natural {
content_chained_helper(&self.elements, |c| c, x.clone())
}
}