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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)
5//
6// This file is machine generated, do not edit by hand
7
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
11
12namespace boost{ namespace math{ namespace tools{ namespace detail{
13
14template <class T, class U, class V>
15inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V)
16{
17 return static_cast<V>(0);
18}
19
20template <class T, class U, class V>
21inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V)
22{
23 return static_cast<V>(a[0]) / static_cast<V>(b[0]);
24}
25
26template <class T, class U, class V>
27inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*) BOOST_MATH_NOEXCEPT(V)
28{
29 return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0]));
30}
31
32template <class T, class U, class V>
33inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*) BOOST_MATH_NOEXCEPT(V)
34{
35 return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));
36}
37
38template <class T, class U, class V>
39inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*) BOOST_MATH_NOEXCEPT(V)
40{
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]));
42}
43
44template <class T, class U, class V>
45inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V)
46{
47 if(x <= 1)
48 {
49 V x2 = x * x;
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));
51 }
52 else
53 {
54 V z = 1 / x;
55 V z2 = 1 / (x * 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));
57 }
58}
59
60template <class T, class U, class V>
61inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V)
62{
63 if(x <= 1)
64 {
65 V x2 = x * x;
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]));
67 }
68 else
69 {
70 V z = 1 / x;
71 V z2 = 1 / (x * x);
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]));
73 }
74}
75
76template <class T, class U, class V>
77inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<7>*) BOOST_MATH_NOEXCEPT(V)
78{
79 if(x <= 1)
80 {
81 V x2 = x * x;
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));
83 }
84 else
85 {
86 V z = 1 / x;
87 V z2 = 1 / (x * 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));
89 }
90}
91
92
93}}}} // namespaces
94
95#endif // include guard
96