💿🐜 Antkeeper source code https://antkeeper.com
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/*
* Copyright (C) 2021 Christopher J. Howard
*
* This file is part of Antkeeper source code.
*
* Antkeeper source code is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Antkeeper source code is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ANTKEEPER_MATH_POLYNOMIAL_HPP
#define ANTKEEPER_MATH_POLYNOMIAL_HPP
namespace math {
/// Polynomial evaluation functions.
namespace polynomial {
/**
* Evaluates a polynomial using Horner's method.
*
* @param first,last Range of polynomial coefficients, in descending order of degree.
* @param x Variable value.
* @return Evaluation of P(x).
*
* @see https://en.wikipedia.org/wiki/Horner%27s_method
*/
template <class InputIt, class T>
T horner(InputIt first, InputIt last, T x)
{
T sum = *first;
for (++first; first != last; ++first)
sum = sum * x + *first;
return sum;
}
} // namespace polynomial
} // namespace math
#endif // ANTKEEPER_MATH_POLYNOMIAL_HPP