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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_polynomial::NaturalPolynomial;
use alloc::vec::Vec;
use core::cmp::min;
use core::mem::swap;
use core::ops::{Add, AddAssign};
// Adds `ys` into `xs`, cloning the coefficients of `ys` past the end of `xs`. Natural coefficients
// cannot cancel, so the result needs no trimming.
pub(crate) fn add_assign_ref(xs: &mut Vec<Natural>, ys: &[Natural]) {
let common = min(xs.len(), ys.len());
for (x, y) in xs.iter_mut().zip(&ys[..common]) {
*x += y;
}
if ys.len() > common {
xs.extend_from_slice(&ys[common..]);
}
}
// Adds `ys` into `xs`, reusing whichever of the two is longer.
pub(crate) fn add_assign_val(xs: &mut Vec<Natural>, mut ys: Vec<Natural>) {
if ys.len() > xs.len() {
swap(xs, &mut ys);
}
for (x, y) in xs.iter_mut().zip(ys) {
*x += y;
}
}
impl Add<Self> for NaturalPolynomial {
type Output = Self;
/// Adds two [`NaturalPolynomial`]s, taking both by value.
///
/// $$
/// f(p, q) = p + q.
/// $$
///
/// Natural coefficients cannot cancel, so the degree of the sum is the larger of the two
/// degrees.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// assert_eq!(
/// (NaturalPolynomial::from_str("x^2+3*x+2").unwrap()
/// + NaturalPolynomial::from_str("2*x+5").unwrap())
/// .to_string(),
/// "x^2+5*x+7"
/// );
/// ```
///
/// This is equivalent to `fmpz_poly_add` from `fmpz_poly/add.c`, FLINT 3.6.0.
fn add(mut self, other: Self) -> Self {
add_assign_val(&mut self.coefficients, other.coefficients);
self
}
}
impl Add<&Self> for NaturalPolynomial {
type Output = Self;
/// Adds two [`NaturalPolynomial`]s, taking the first by value and the second by reference.
///
/// $$
/// f(p, q) = p + q.
/// $$
///
/// Natural coefficients cannot cancel, so the degree of the sum is the larger of the two
/// degrees.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// assert_eq!(
/// (NaturalPolynomial::from_str("x^2+3*x+2").unwrap()
/// + &NaturalPolynomial::from_str("2*x+5").unwrap())
/// .to_string(),
/// "x^2+5*x+7"
/// );
/// ```
///
/// This is equivalent to `fmpz_poly_add` from `fmpz_poly/add.c`, FLINT 3.6.0.
fn add(mut self, other: &Self) -> Self {
add_assign_ref(&mut self.coefficients, &other.coefficients);
self
}
}
impl Add<NaturalPolynomial> for &NaturalPolynomial {
type Output = NaturalPolynomial;
/// Adds two [`NaturalPolynomial`]s, taking the first by reference and the second by value.
///
/// $$
/// f(p, q) = p + q.
/// $$
///
/// Natural coefficients cannot cancel, so the degree of the sum is the larger of the two
/// degrees.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// assert_eq!(
/// (&NaturalPolynomial::from_str("x^2+3*x+2").unwrap()
/// + NaturalPolynomial::from_str("2*x+5").unwrap())
/// .to_string(),
/// "x^2+5*x+7"
/// );
/// ```
///
/// This is equivalent to `fmpz_poly_add` from `fmpz_poly/add.c`, FLINT 3.6.0.
fn add(self, other: NaturalPolynomial) -> NaturalPolynomial {
let mut other = other;
add_assign_ref(&mut other.coefficients, &self.coefficients);
other
}
}
impl Add<&NaturalPolynomial> for &NaturalPolynomial {
type Output = NaturalPolynomial;
/// Adds two [`NaturalPolynomial`]s, taking both by reference.
///
/// $$
/// f(p, q) = p + q.
/// $$
///
/// Natural coefficients cannot cancel, so the degree of the sum is the larger of the two
/// degrees.
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// assert_eq!(
/// (&NaturalPolynomial::from_str("x^2+3*x+2").unwrap()
/// + &NaturalPolynomial::from_str("2*x+5").unwrap())
/// .to_string(),
/// "x^2+5*x+7"
/// );
/// ```
///
/// This is equivalent to `fmpz_poly_add` from `fmpz_poly/add.c`, FLINT 3.6.0.
fn add(self, other: &NaturalPolynomial) -> NaturalPolynomial {
let (longer, shorter) = if self.coefficients.len() >= other.coefficients.len() {
(self, other)
} else {
(other, self)
};
let mut coefficients = longer.coefficients.clone();
add_assign_ref(&mut coefficients, &shorter.coefficients);
NaturalPolynomial { coefficients }
}
}
impl AddAssign<Self> for NaturalPolynomial {
/// Adds another [`NaturalPolynomial`] to a [`NaturalPolynomial`] in place, taking the
/// right-hand side by value.
///
/// $$
/// p \gets p + q.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// let mut p = NaturalPolynomial::from_str("x^2+3*x+2").unwrap();
/// p += NaturalPolynomial::from_str("2*x+5").unwrap();
/// assert_eq!(p.to_string(), "x^2+5*x+7");
/// ```
fn add_assign(&mut self, other: Self) {
add_assign_val(&mut self.coefficients, other.coefficients);
}
}
impl AddAssign<&Self> for NaturalPolynomial {
/// Adds another [`NaturalPolynomial`] to a [`NaturalPolynomial`] in place, taking the
/// right-hand side by reference.
///
/// $$
/// p \gets p + q.
/// $$
///
/// # Worst-case complexity
/// $T(n) = O(n)$
///
/// $M(n) = O(n)$
///
/// where $T$ is time, $M$ is additional memory, and $n$ is the total number of bits of the
/// coefficients of both polynomials.
///
/// # Examples
/// ```
/// use core::str::FromStr;
/// use malachite_nz::natural_polynomial::NaturalPolynomial;
///
/// let mut p = NaturalPolynomial::from_str("x^2+3*x+2").unwrap();
/// p += &NaturalPolynomial::from_str("2*x+5").unwrap();
/// assert_eq!(p.to_string(), "x^2+5*x+7");
/// ```
fn add_assign(&mut self, other: &Self) {
add_assign_ref(&mut self.coefficients, &other.coefficients);
}
}