| // (C) Copyright John Maddock 2007. |
| // Use, modification and distribution are subject to the |
| // Boost Software License, Version 1.0. (See accompanying file |
| // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) |
| // |
| // This file is machine generated, do not edit by hand |
| |
| // Unrolled polynomial evaluation using second order Horners rule |
| #ifndef BOOST_MATH_TOOLS_POLY_EVAL_19_HPP |
| #define BOOST_MATH_TOOLS_POLY_EVAL_19_HPP |
| |
| namespace boost{ namespace math{ namespace tools{ namespace detail{ |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<0>*) |
| { |
| return static_cast<V>(0); |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*) |
| { |
| return static_cast<V>(a[0]); |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*) |
| { |
| return static_cast<V>(a[1] * x + a[0]); |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<3>*) |
| { |
| return static_cast<V>((a[2] * x + a[1]) * x + a[0]); |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<4>*) |
| { |
| return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[4] * x2 + a[2]); |
| t[1] = static_cast<V>(a[3] * x2 + a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[5] * x2 + a[3]; |
| t[1] = a[4] * x2 + a[2]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[6] * x2 + a[4]); |
| t[1] = static_cast<V>(a[5] * x2 + a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[7] * x2 + a[5]; |
| t[1] = a[6] * x2 + a[4]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<9>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[8] * x2 + a[6]); |
| t[1] = static_cast<V>(a[7] * x2 + a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[9] * x2 + a[7]; |
| t[1] = a[8] * x2 + a[6]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[5]); |
| t[1] += static_cast<V>(a[4]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<11>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[10] * x2 + a[8]); |
| t[1] = static_cast<V>(a[9] * x2 + a[7]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[6]); |
| t[1] += static_cast<V>(a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<12>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[11] * x2 + a[9]; |
| t[1] = a[10] * x2 + a[8]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[7]); |
| t[1] += static_cast<V>(a[6]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[5]); |
| t[1] += static_cast<V>(a[4]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<13>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[12] * x2 + a[10]); |
| t[1] = static_cast<V>(a[11] * x2 + a[9]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[8]); |
| t[1] += static_cast<V>(a[7]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[6]); |
| t[1] += static_cast<V>(a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<14>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[13] * x2 + a[11]; |
| t[1] = a[12] * x2 + a[10]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[9]); |
| t[1] += static_cast<V>(a[8]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[7]); |
| t[1] += static_cast<V>(a[6]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[5]); |
| t[1] += static_cast<V>(a[4]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<15>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[14] * x2 + a[12]); |
| t[1] = static_cast<V>(a[13] * x2 + a[11]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[10]); |
| t[1] += static_cast<V>(a[9]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[8]); |
| t[1] += static_cast<V>(a[7]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[6]); |
| t[1] += static_cast<V>(a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<16>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[15] * x2 + a[13]; |
| t[1] = a[14] * x2 + a[12]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[11]); |
| t[1] += static_cast<V>(a[10]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[9]); |
| t[1] += static_cast<V>(a[8]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[7]); |
| t[1] += static_cast<V>(a[6]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[5]); |
| t[1] += static_cast<V>(a[4]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<17>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[16] * x2 + a[14]); |
| t[1] = static_cast<V>(a[15] * x2 + a[13]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[12]); |
| t[1] += static_cast<V>(a[11]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[10]); |
| t[1] += static_cast<V>(a[9]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[8]); |
| t[1] += static_cast<V>(a[7]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[6]); |
| t[1] += static_cast<V>(a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<18>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = a[17] * x2 + a[15]; |
| t[1] = a[16] * x2 + a[14]; |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[13]); |
| t[1] += static_cast<V>(a[12]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[11]); |
| t[1] += static_cast<V>(a[10]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[9]); |
| t[1] += static_cast<V>(a[8]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[7]); |
| t[1] += static_cast<V>(a[6]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[5]); |
| t[1] += static_cast<V>(a[4]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[3]); |
| t[1] += static_cast<V>(a[2]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[1]); |
| t[1] += static_cast<V>(a[0]); |
| t[0] *= x; |
| return t[0] + t[1]; |
| } |
| |
| template <class T, class V> |
| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<19>*) |
| { |
| V x2 = x * x; |
| V t[2]; |
| t[0] = static_cast<V>(a[18] * x2 + a[16]); |
| t[1] = static_cast<V>(a[17] * x2 + a[15]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[14]); |
| t[1] += static_cast<V>(a[13]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[12]); |
| t[1] += static_cast<V>(a[11]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[10]); |
| t[1] += static_cast<V>(a[9]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[8]); |
| t[1] += static_cast<V>(a[7]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[6]); |
| t[1] += static_cast<V>(a[5]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[4]); |
| t[1] += static_cast<V>(a[3]); |
| t[0] *= x2; |
| t[1] *= x2; |
| t[0] += static_cast<V>(a[2]); |
| t[1] += static_cast<V>(a[1]); |
| t[0] *= x2; |
| t[0] += static_cast<V>(a[0]); |
| t[1] *= x; |
| return t[0] + t[1]; |
| } |
| |
| |
| }}}} // namespaces |
| |
| #endif // include guard |
| |