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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::num::arithmetic::traits::{ModAdd, ModAddAssign, ModIsReduced};
use crate::num::basic::unsigneds::PrimitiveUnsigned;
use crate::unsigned_vector::UnsignedVector;
// Adds each element of `ys` to the element of `xs` at the same index, modulo `m`.
pub(crate) fn mod_add_assign_slice<T: PrimitiveUnsigned>(xs: &mut [T], ys: &[T], m: T) {
for (x, &y) in xs.iter_mut().zip(ys) {
*x = x.mod_add(y, m);
}
}
fn assert_reduced<T: PrimitiveUnsigned>(v: &UnsignedVector<T>, w: &UnsignedVector<T>, m: T) {
assert_eq!(
v.elements.len(),
w.elements.len(),
"cannot add vectors of different dimensions"
);
assert!(
v.mod_is_reduced(&m),
"self must be reduced mod m, but {v} has an element >= {m}"
);
assert!(
w.mod_is_reduced(&m),
"other must be reduced mod m, but {w} has an element >= {m}"
);
}
fn mod_add_assign<T: PrimitiveUnsigned>(v: &mut UnsignedVector<T>, w: &UnsignedVector<T>, m: T) {
assert_reduced(v, w, m);
mod_add_assign_slice(&mut v.elements, &w.elements, m);
}
impl<T: PrimitiveUnsigned> ModAdd<Self, T> for UnsignedVector<T> {
type Output = Self;
/// Adds two [`UnsignedVector`]s modulo $m$, taking the first by value and the second by value.
/// The elements of both must already be reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAdd;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// assert_eq!(v.mod_add(w, 8).to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add(mut self, other: Self, m: T) -> Self {
mod_add_assign(&mut self, &other, m);
self
}
}
impl<T: PrimitiveUnsigned> ModAdd<&Self, T> for UnsignedVector<T> {
type Output = Self;
/// Adds two [`UnsignedVector`]s modulo $m$, taking the first by value and the second by
/// reference. The elements of both must already be reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAdd;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// assert_eq!(v.mod_add(&w, 8).to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add(mut self, other: &Self, m: T) -> Self {
mod_add_assign(&mut self, other, m);
self
}
}
impl<T: PrimitiveUnsigned> ModAdd<UnsignedVector<T>, T> for &UnsignedVector<T> {
type Output = UnsignedVector<T>;
/// Adds two [`UnsignedVector`]s modulo $m$, taking the first by reference and the second by
/// value. The elements of both must already be reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAdd;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// assert_eq!((&v).mod_add(w, 8).to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add(self, mut other: UnsignedVector<T>, m: T) -> UnsignedVector<T> {
mod_add_assign(&mut other, self, m);
other
}
}
impl<T: PrimitiveUnsigned> ModAdd<&UnsignedVector<T>, T> for &UnsignedVector<T> {
type Output = UnsignedVector<T>;
/// Adds two [`UnsignedVector`]s modulo $m$, taking the first by reference and the second by
/// reference. The elements of both must already be reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAdd;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// assert_eq!((&v).mod_add(&w, 8).to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add(self, other: &UnsignedVector<T>, m: T) -> UnsignedVector<T> {
let mut v = self.clone();
mod_add_assign(&mut v, other, m);
v
}
}
impl<T: PrimitiveUnsigned> ModAddAssign<Self, T> for UnsignedVector<T> {
/// Adds an [`UnsignedVector`] to an [`UnsignedVector`] modulo $m$, in place, taking the
/// [`UnsignedVector`] on the right-hand side by value. The elements of both must already be
/// reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAddAssign;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let mut v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// v.mod_add_assign(w, 8);
/// assert_eq!(v.to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add_assign(&mut self, other: Self, m: T) {
mod_add_assign(self, &other, m);
}
}
impl<T: PrimitiveUnsigned> ModAddAssign<&Self, T> for UnsignedVector<T> {
/// Adds an [`UnsignedVector`] to an [`UnsignedVector`] modulo $m$, in place, taking the
/// [`UnsignedVector`] on the right-hand side by reference. The elements of both must already be
/// reduced modulo $m$.
///
/// The sum is taken element by element, each reduced modulo $m$, so the result has the same
/// dimension as the summands.
///
/// $$
/// f(v, w, m) = v + w \bmod m.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(1)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is `self.dimension()`.
///
/// # Panics
/// Panics if `m` is zero, if `self` and `other` have different dimensions, or if any element of
/// either is greater than or equal to `m`.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_base::num::arithmetic::traits::ModAddAssign;
/// use malachite_base::unsigned_vector::UnsignedVector;
///
/// let mut v = UnsignedVector::<u8>::from_str("(5, 1, 3)").unwrap();
/// let w = UnsignedVector::<u8>::from_str("(4, 7, 0)").unwrap();
/// v.mod_add_assign(&w, 8);
/// assert_eq!(v.to_string(), "(1, 0, 3)");
/// ```
///
/// This is equivalent to `_nmod_vec_add` from `nmod_vec/add.c`, FLINT 3.6.0.
#[inline]
fn mod_add_assign(&mut self, other: &Self, m: T) {
mod_add_assign(self, other, m);
}
}