libcruft-util/polynomial.ipp

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/*
* This file is part of libgim.
*
* libgim 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.
*
* libgim 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 libgim. If not, see <http://www.gnu.org/licenses/>.
*
* Copyright 2015 Danny Robson <danny@nerdcruft.net>
*/
#ifdef __UTIL_POLYNOMIAL_IPP
#error "twice included ipp"
#endif
#define __UTIL_POLYNOMIAL_IPP
//-----------------------------------------------------------------------------
template <size_t S, typename T, typename U>
T
util::polynomial::eval (const std::array<T,S> coeffs, const U x)
{
U x_ = 1.f;
T sum {0.f};
for (size_t i = 0; i < S; ++i) {
sum += coeffs[S-i-1] * x_;
x_ *= x;
}
return sum;
}