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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_6_HPP | |
10 | #define BOOST_MATH_TOOLS_RAT_EVAL_6_HPP | |
11 | ||
12 | namespace boost{ namespace math{ namespace tools{ namespace detail{ | |
13 | ||
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>*) BOOST_MATH_NOEXCEPT(V) | |
16 | { | |
17 | return static_cast<V>(0); | |
18 | } | |
19 | ||
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>*) BOOST_MATH_NOEXCEPT(V) | |
22 | { | |
23 | return static_cast<V>(a[0]) / static_cast<V>(b[0]); | |
24 | } | |
25 | ||
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>*) BOOST_MATH_NOEXCEPT(V) | |
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> | |
33 | inline 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 | ||
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>*) 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 | ||
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>*) BOOST_MATH_NOEXCEPT(V) | |
46 | { | |
47 | if(x <= 1) | |
48 | { | |
49 | V x2 = x * x; | |
50 | V t[4]; | |
51 | t[0] = a[4] * x2 + a[2]; | |
52 | t[1] = a[3] * x2 + a[1]; | |
53 | t[2] = b[4] * x2 + b[2]; | |
54 | t[3] = b[3] * x2 + b[1]; | |
55 | t[0] *= x2; | |
56 | t[2] *= x2; | |
57 | t[0] += static_cast<V>(a[0]); | |
58 | t[2] += static_cast<V>(b[0]); | |
59 | t[1] *= x; | |
60 | t[3] *= x; | |
61 | return (t[0] + t[1]) / (t[2] + t[3]); | |
62 | } | |
63 | else | |
64 | { | |
65 | V z = 1 / x; | |
66 | V z2 = 1 / (x * x); | |
67 | V t[4]; | |
68 | t[0] = a[0] * z2 + a[2]; | |
69 | t[1] = a[1] * z2 + a[3]; | |
70 | t[2] = b[0] * z2 + b[2]; | |
71 | t[3] = b[1] * z2 + b[3]; | |
72 | t[0] *= z2; | |
73 | t[2] *= z2; | |
74 | t[0] += static_cast<V>(a[4]); | |
75 | t[2] += static_cast<V>(b[4]); | |
76 | t[1] *= z; | |
77 | t[3] *= z; | |
78 | return (t[0] + t[1]) / (t[2] + t[3]); | |
79 | } | |
80 | } | |
81 | ||
82 | template <class T, class U, class V> | |
83 | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V) | |
84 | { | |
85 | if(x <= 1) | |
86 | { | |
87 | V x2 = x * x; | |
88 | V t[4]; | |
89 | t[0] = a[5] * x2 + a[3]; | |
90 | t[1] = a[4] * x2 + a[2]; | |
91 | t[2] = b[5] * x2 + b[3]; | |
92 | t[3] = b[4] * x2 + b[2]; | |
93 | t[0] *= x2; | |
94 | t[1] *= x2; | |
95 | t[2] *= x2; | |
96 | t[3] *= x2; | |
97 | t[0] += static_cast<V>(a[1]); | |
98 | t[1] += static_cast<V>(a[0]); | |
99 | t[2] += static_cast<V>(b[1]); | |
100 | t[3] += static_cast<V>(b[0]); | |
101 | t[0] *= x; | |
102 | t[2] *= x; | |
103 | return (t[0] + t[1]) / (t[2] + t[3]); | |
104 | } | |
105 | else | |
106 | { | |
107 | V z = 1 / x; | |
108 | V z2 = 1 / (x * x); | |
109 | V t[4]; | |
110 | t[0] = a[0] * z2 + a[2]; | |
111 | t[1] = a[1] * z2 + a[3]; | |
112 | t[2] = b[0] * z2 + b[2]; | |
113 | t[3] = b[1] * z2 + b[3]; | |
114 | t[0] *= z2; | |
115 | t[1] *= z2; | |
116 | t[2] *= z2; | |
117 | t[3] *= z2; | |
118 | t[0] += static_cast<V>(a[4]); | |
119 | t[1] += static_cast<V>(a[5]); | |
120 | t[2] += static_cast<V>(b[4]); | |
121 | t[3] += static_cast<V>(b[5]); | |
122 | t[0] *= z; | |
123 | t[2] *= z; | |
124 | return (t[0] + t[1]) / (t[2] + t[3]); | |
125 | } | |
126 | } | |
127 | ||
128 | ||
129 | }}}} // namespaces | |
130 | ||
131 | #endif // include guard | |
132 |