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Diffstat (limited to 'src/third_party/boost-1.60.0/boost/math/tools/detail/polynomial_horner3_18.hpp')
-rw-r--r-- | src/third_party/boost-1.60.0/boost/math/tools/detail/polynomial_horner3_18.hpp | 412 |
1 files changed, 412 insertions, 0 deletions
diff --git a/src/third_party/boost-1.60.0/boost/math/tools/detail/polynomial_horner3_18.hpp b/src/third_party/boost-1.60.0/boost/math/tools/detail/polynomial_horner3_18.hpp new file mode 100644 index 00000000000..68935adba15 --- /dev/null +++ b/src/third_party/boost-1.60.0/boost/math/tools/detail/polynomial_horner3_18.hpp @@ -0,0 +1,412 @@ +// (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_18_HPP +#define BOOST_MATH_TOOLS_POLY_EVAL_18_HPP + +namespace boost{ namespace math{ namespace tools{ namespace detail{ + +template <class T, class V> +inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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>*) BOOST_MATH_NOEXCEPT(V) +{ + 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]; +} + + +}}}} // namespaces + +#endif // include guard + |