]>
Commit | Line | Data |
---|---|---|
7c673cae FG |
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_8_HPP | |
10 | #define BOOST_MATH_TOOLS_RAT_EVAL_8_HPP | |
11 | ||
12 | namespace boost{ namespace math{ namespace tools{ namespace detail{ | |
13 | ||
14 | template <class T, class U, class V> | |
1e59de90 | 15 | inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
16 | { |
17 | return static_cast<V>(0); | |
18 | } | |
19 | ||
20 | template <class T, class U, class V> | |
1e59de90 | 21 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
22 | { |
23 | return static_cast<V>(a[0]) / static_cast<V>(b[0]); | |
24 | } | |
25 | ||
26 | template <class T, class U, class V> | |
1e59de90 | 27 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
28 | { |
29 | return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); | |
30 | } | |
31 | ||
32 | template <class T, class U, class V> | |
1e59de90 | 33 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
34 | { |
35 | return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); | |
36 | } | |
37 | ||
38 | template <class T, class U, class V> | |
1e59de90 | 39 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
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 | ||
44 | template <class T, class U, class V> | |
1e59de90 | 45 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
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 | ||
60 | template <class T, class U, class V> | |
1e59de90 | 61 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
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 | ||
76 | template <class T, class U, class V> | |
1e59de90 | 77 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
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 | template <class T, class U, class V> | |
1e59de90 | 93 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) |
7c673cae FG |
94 | { |
95 | if(x <= 1) | |
96 | { | |
97 | V x2 = x * x; | |
98 | return static_cast<V>(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0])); | |
99 | } | |
100 | else | |
101 | { | |
102 | V z = 1 / x; | |
103 | V z2 = 1 / (x * x); | |
104 | return static_cast<V>(((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z + ((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) / ((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z + ((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7])); | |
105 | } | |
106 | } | |
107 | ||
108 | ||
109 | }}}} // namespaces | |
110 | ||
111 | #endif // include guard | |
112 |