libcruft-util/polynomial.ipp

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/*
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* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
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* http://www.apache.org/licenses/LICENSE-2.0
*
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* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* Copyright 2015 Danny Robson <danny@nerdcruft.net>
*/
#ifdef __UTIL_POLYNOMIAL_IPP
#error "twice included ipp"
#endif
#define __UTIL_POLYNOMIAL_IPP
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///////////////////////////////////////////////////////////////////////////////
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;
}