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