1 // (C) Copyright John Maddock 2007.
2 // Use, modification and distribution are subject to the
3 // Boost Software License, Version 1.0. (See accompanying file
4 // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
6 // This file is machine generated, do not edit by hand
8 // Polynomial evaluation using second order Horners rule
9 #ifndef BOOST_MATH_TOOLS_RAT_EVAL_7_HPP
10 #define BOOST_MATH_TOOLS_RAT_EVAL_7_HPP
12 namespace boost{ namespace math{ namespace tools{ namespace detail{
14 template <class T, class U, class V>
15 inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*)
17 return static_cast<V>(0);
20 template <class T, class U, class V>
21 inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*)
23 return static_cast<V>(a[0]) / static_cast<V>(b[0]);
26 template <class T, class U, class V>
27 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*)
29 return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0]));
32 template <class T, class U, class V>
33 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*)
35 return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));
38 template <class T, class U, class V>
39 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*)
41 return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0]));
44 template <class T, class U, class V>
45 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<5>*)
50 return static_cast<V>(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x));
56 return static_cast<V>(((a[0] * z2 + a[2]) * z2 + a[4] + (a[1] * z2 + a[3]) * z) / ((b[0] * z2 + b[2]) * z2 + b[4] + (b[1] * z2 + b[3]) * z));
60 template <class T, class U, class V>
61 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<6>*)
66 return static_cast<V>((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0]));
72 return static_cast<V>((((a[0] * z2 + a[2]) * z2 + a[4]) * z + (a[1] * z2 + a[3]) * z2 + a[5]) / (((b[0] * z2 + b[2]) * z2 + b[4]) * z + (b[1] * z2 + b[3]) * z2 + b[5]));
76 template <class T, class U, class V>
77 inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<7>*)
82 return static_cast<V>((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x));
88 return static_cast<V>((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6] + ((a[1] * z2 + a[3]) * z2 + a[5]) * z) / (((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6] + ((b[1] * z2 + b[3]) * z2 + b[5]) * z));
95 #endif // include guard