malachite-nz 0.13.0

// 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 malachite_base::num::basic::unsigneds::PrimitiveUnsigned;
use malachite_base::polynomial::Polynomial;
use malachite_base::unsigned_polynomial::UnsignedPolynomial;

impl<T: PrimitiveUnsigned> From<UnsignedPolynomial<T>> for NaturalPolynomial
where
    Natural: From<T>,
{
    /// Converts a [`UnsignedPolynomial`] to a [`NaturalPolynomial`].
    ///
    /// Every unsigned primitive is a [`Natural`], so nothing is lost and nothing can fail. The
    /// coefficients are converted one by one, and the leading one stays nonzero, so the degree is
    /// unchanged.
    ///
    /// $f(p) = p$, read on the left over the coefficients and on the right over $\N$.
    ///
    /// # Worst-case complexity
    /// $T(n) = O(n)$
    ///
    /// $M(n) = O(n)$
    ///
    /// where $T$ is time, $M$ is additional memory, and $n$ is the number of coefficients.
    ///
    /// # Examples
    /// ```
    /// use core::str::FromStr;
    /// use malachite_base::unsigned_polynomial::UnsignedPolynomial;
    /// use malachite_nz::natural_polynomial::NaturalPolynomial;
    ///
    /// let p = UnsignedPolynomial::<u64>::from_str("x^2+3*x+2").unwrap();
    /// assert_eq!(NaturalPolynomial::from(p).to_string(), "x^2+3*x+2");
    ///
    /// assert_eq!(
    ///     NaturalPolynomial::from(UnsignedPolynomial::<u64>::default()).to_string(),
    ///     "0"
    /// );
    /// ```
    #[inline]
    fn from(p: UnsignedPolynomial<T>) -> Self {
        // The coefficients keep their order and their nonzero leading one, so no trimming is
        // needed; but going through the constructor costs one comparison and cannot be wrong.
        Self::from_coefficients_asc(
            p.into_coefficients_asc()
                .into_iter()
                .map(Natural::from)
                .collect(),
        )
    }
}