// 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 malachite_base::polynomial::Polynomial;
// Multiplies the coefficient of x^i, read one at a time through `coefficient`, by i for each i from
// 1, and normalizes the result. Nothing is shared with the implementation.
pub fn derivative_naive(p: &NaturalPolynomial) -> NaturalPolynomial {
NaturalPolynomial::from_coefficients_asc(
(1..p.len())
.map(|i| p.coefficient(i) * Natural::from(i))
.collect::<Vec<Natural>>(),
)
}