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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 core::ops::{Div, DivAssign};
use malachite_base::num::basic::traits::{One, Zero};
impl Div<Natural> for NaturalVector {
type Output = Self;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by value
/// and the scalar by value.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # 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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
#[inline]
fn div(mut self, c: Natural) -> Self {
self /= &c;
self
}
}
impl Div<&Natural> for NaturalVector {
type Output = Self;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by value
/// and the scalar by reference.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # 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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
#[inline]
fn div(mut self, c: &Natural) -> Self {
self /= c;
self
}
}
impl Div<Natural> for &NaturalVector {
type Output = NaturalVector;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by
/// reference and the scalar by value.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # 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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
#[inline]
fn div(self, c: Natural) -> NaturalVector {
self / &c
}
}
impl Div<&Natural> for &NaturalVector {
type Output = NaturalVector;
/// Divides every element of a [`NaturalVector`] by a [`Natural`], taking the vector by
/// reference and the scalar by reference.
///
/// The quotient is taken element by element, so the result has the same dimension as the
/// vector.
///
/// Each quotient is rounded down.
///
/// $$
/// f(v, c)_i = \left\lfloor\frac{v_i}{c}\right\rfloor.
/// $$
///
/// # 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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
fn div(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 / c).collect(),
},
}
}
}
impl DivAssign<Natural> for NaturalVector {
/// Divides every element of a [`NaturalVector`] by a [`Natural`], in place, taking the scalar
/// by value.
///
/// Every element is divided by `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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div_assign).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
#[inline]
fn div_assign(&mut self, c: Natural) {
*self /= &c;
}
}
impl DivAssign<&Natural> for NaturalVector {
/// Divides every element of a [`NaturalVector`] by a [`Natural`], in place, taking the scalar
/// by reference.
///
/// Every element is divided by `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 of elements and of `c`.
///
/// # Panics
/// Panics if `c` is zero.
///
/// # Examples
/// See [here](super::scalar_div#div_assign).
///
/// This is equivalent to `_fmpz_vec_scalar_tdiv_q_fmpz` from `fmpz_vec/scalar.c`, FLINT 3.6.0.
fn div_assign(&mut self, c: &Natural) {
match *c {
Natural::ZERO => panic!("division by zero"),
Natural::ONE => {}
_ => {
for x in &mut self.elements {
*x /= c;
}
}
}
}
}