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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::natural::Natural;
use crate::natural_vector::NaturalVector;
use malachite_base::num::arithmetic::traits::{DivExact, DivExactAssign};
use malachite_base::num::basic::traits::{One, Zero};
impl DivExact<Natural> for NaturalVector {
type Output = Self;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by value
/// and the Natural by value. Every element must be exactly divisible by the [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $f(v, c) = v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
#[inline]
fn div_exact(mut self, c: Natural) -> Self {
self.div_exact_assign(&c);
self
}
}
impl DivExact<&Natural> for NaturalVector {
type Output = Self;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by value
/// and the Natural by reference. Every element must be exactly divisible by the [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $f(v, c) = v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
#[inline]
fn div_exact(mut self, c: &Natural) -> Self {
self.div_exact_assign(c);
self
}
}
impl DivExact<Natural> for &NaturalVector {
type Output = NaturalVector;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by
/// reference and the Natural by value. Every element must be exactly divisible by the
/// [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $f(v, c) = v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
#[inline]
fn div_exact(self, c: Natural) -> NaturalVector {
self.div_exact(&c)
}
}
impl DivExact<&Natural> for &NaturalVector {
type Output = NaturalVector;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by
/// reference and the Natural by reference. Every element must be exactly divisible by the
/// [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $f(v, c) = v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
fn div_exact(self, c: &Natural) -> NaturalVector {
NaturalVector {
elements: match *c {
Natural::ZERO => panic!("division by zero"),
Natural::ONE => self.elements.clone(),
_ => self.elements.iter().map(|x| x.div_exact(c)).collect(),
},
}
}
}
impl DivExactAssign<Natural> for NaturalVector {
/// Divides every element of a [`NaturalVector`] by a [`Natural`], in place, taking the Natural
/// by value. Every element must be exactly divisible by the [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $v \gets v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact_assign).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
#[inline]
fn div_exact_assign(&mut self, c: Natural) {
self.div_exact_assign(&c);
}
}
impl DivExactAssign<&Natural> for NaturalVector {
/// Divides every element of a [`NaturalVector`] by a [`Natural`], in place, taking the Natural
/// by reference. Every element must be exactly divisible by the [`Natural`].
///
/// If some element is not exactly divisible by `c`, this function may panic or return a
/// meaningless result. Dividing by 1 returns the vector unchanged.
///
/// $v \gets v/c$.
///
/// # Worst-case complexity
/// $T(n) = O(n \log n \log\log n)$
///
/// $M(n) = O(n \log n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::div_exact#div_exact_assign).
///
/// This is equivalent to `_fmpz_vec_scalar_divexact_fmpz` from `fmpz_vec/scalar_divexact.c`,
/// FLINT 3.6.0.
fn div_exact_assign(&mut self, c: &Natural) {
match *c {
Natural::ZERO => panic!("division by zero"),
Natural::ONE => {}
_ => {
for x in &mut self.elements {
x.div_exact_assign(c);
}
}
}
}
}