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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::Integer;
use malachite_base::num::arithmetic::traits::{
DivEuclidean, DivEuclideanAssign, DivRound, DivRoundAssign,
};
use malachite_base::rounding_modes::RoundingMode::{Ceiling, Floor};
impl DivEuclidean<Self> for Integer {
type Output = Self;
/// Divides an [`Integer`] by another [`Integer`], taking both by value and returning just the
/// quotient. The quotient is rounded so that the remainder would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// f(x, y) = \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclidean;
/// use malachite_nz::integer::Integer;
///
/// // 2 * 10 + 3 = 23
/// assert_eq!(Integer::from(23).div_euclidean(Integer::from(10)), 2);
///
/// // 3 * -10 + 7 = -23
/// assert_eq!(Integer::from(-23).div_euclidean(Integer::from(-10)), 3);
/// ```
#[inline]
fn div_euclidean(self, other: Self) -> Self {
let rm = if other > 0u32 { Floor } else { Ceiling };
self.div_round(other, rm).0
}
}
impl DivEuclidean<&Self> for Integer {
type Output = Self;
/// Divides an [`Integer`] by another [`Integer`], taking the first by value and the second by
/// reference and returning just the quotient. The quotient is rounded so that the remainder
/// would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// f(x, y) = \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclidean;
/// use malachite_nz::integer::Integer;
///
/// // -3 * 10 + 7 = -23
/// assert_eq!(Integer::from(-23).div_euclidean(&Integer::from(10)), -3);
/// ```
#[inline]
fn div_euclidean(self, other: &Self) -> Self {
let rm = if *other > 0u32 { Floor } else { Ceiling };
self.div_round(other, rm).0
}
}
impl DivEuclidean<Integer> for &Integer {
type Output = Integer;
/// Divides an [`Integer`] by another [`Integer`], taking the first by reference and the second
/// by value and returning just the quotient. The quotient is rounded so that the remainder
/// would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// f(x, y) = \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclidean;
/// use malachite_nz::integer::Integer;
///
/// // -2 * -10 + 3 = 23
/// assert_eq!((&Integer::from(23)).div_euclidean(Integer::from(-10)), -2);
/// ```
#[inline]
fn div_euclidean(self, other: Integer) -> Integer {
let rm = if other > 0u32 { Floor } else { Ceiling };
self.div_round(other, rm).0
}
}
impl DivEuclidean<&Integer> for &Integer {
type Output = Integer;
/// Divides an [`Integer`] by another [`Integer`], taking both by reference and returning just
/// the quotient. The quotient is rounded so that the remainder would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// f(x, y) = \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclidean;
/// use malachite_nz::integer::Integer;
///
/// // 3 * -10 + 7 = -23
/// assert_eq!((&Integer::from(-23)).div_euclidean(&Integer::from(-10)), 3);
/// ```
#[inline]
fn div_euclidean(self, other: &Integer) -> Integer {
let rm = if *other > 0u32 { Floor } else { Ceiling };
self.div_round(other, rm).0
}
}
impl DivEuclideanAssign<Self> for Integer {
/// Divides an [`Integer`] by another [`Integer`] in place, taking the [`Integer`] on the
/// right-hand side by value and keeping just the quotient. The quotient is rounded so that the
/// remainder would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// x \gets \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclideanAssign;
/// use malachite_nz::integer::Integer;
///
/// // -3 * 10 + 7 = -23
/// let mut x = Integer::from(-23);
/// x.div_euclidean_assign(Integer::from(10));
/// assert_eq!(x, -3);
/// ```
#[inline]
fn div_euclidean_assign(&mut self, other: Self) {
let rm = if other > 0u32 { Floor } else { Ceiling };
self.div_round_assign(other, rm);
}
}
impl DivEuclideanAssign<&Self> for Integer {
/// Divides an [`Integer`] by another [`Integer`] in place, taking the [`Integer`] on the
/// right-hand side by reference and keeping just the quotient. The quotient is rounded so that
/// the remainder would be nonnegative.
///
/// If the remainder were computed, the quotient and remainder would satisfy $x = qy + r$ and $0
/// \leq r < |y|$.
///
/// $$
/// x \gets \operatorname{sgn}(y) \left \lfloor \frac{x}{|y|} \right \rfloor.
/// $$
///
/// # 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 `self.significant_bits()`.
///
/// # Panics
/// Panics if `other` is zero.
///
/// # Examples
/// ```
/// use malachite_base::num::arithmetic::traits::DivEuclideanAssign;
/// use malachite_nz::integer::Integer;
///
/// // 3 * -10 + 7 = -23
/// let mut x = Integer::from(-23);
/// x.div_euclidean_assign(&Integer::from(-10));
/// assert_eq!(x, 3);
/// ```
#[inline]
fn div_euclidean_assign(&mut self, other: &Self) {
let rm = if *other > 0u32 { Floor } else { Ceiling };
self.div_round_assign(other, rm);
}
}