// 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::basic::traits::Zero;
use crate::num::basic::unsigneds::PrimitiveUnsigned;
use crate::polynomial::Polynomial;
use crate::unsigned_polynomial::UnsignedPolynomial;
use alloc::vec::Vec;
// Builds the result coefficient by coefficient: zero below `n`, and the coefficient `n` places down
// above it, read through `coefficient`. Nothing is shared with the implementation.
pub fn mul_power_of_x_naive<T: PrimitiveUnsigned>(
p: &UnsignedPolynomial<T>,
n: u64,
) -> UnsignedPolynomial<T> {
if *p == UnsignedPolynomial::ZERO {
return UnsignedPolynomial::ZERO;
}
UnsignedPolynomial::from_coefficients_asc(
(0..p.len() + n)
.map(|i| if i < n { T::ZERO } else { p.coefficient(i - n) })
.collect::<Vec<T>>(),
)
}