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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// Unrolled polynomial evaluation using second order Horners rule
9#ifndef BOOST_MATH_TOOLS_POLY_EVAL_10_HPP
10#define BOOST_MATH_TOOLS_POLY_EVAL_10_HPP
11
12namespace boost{ namespace math{ namespace tools{ namespace detail{
13
14template <class T, class V>
15inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V)
16{
17 return static_cast<V>(0);
18}
19
20template <class T, class V>
21inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V)
22{
23 return static_cast<V>(a[0]);
24}
25
26template <class T, class V>
27inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*) BOOST_MATH_NOEXCEPT(V)
28{
29 return static_cast<V>(a[1] * x + a[0]);
30}
31
32template <class T, class V>
33inline V evaluate_polynomial_c_imp(const T* a, 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]);
36}
37
38template <class T, class V>
39inline V evaluate_polynomial_c_imp(const T* a, 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]);
42}
43
44template <class T, class V>
45inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V)
46{
47 V x2 = x * x;
48 V t[2];
49 t[0] = static_cast<V>(a[4] * x2 + a[2]);
50 t[1] = static_cast<V>(a[3] * x2 + a[1]);
51 t[0] *= x2;
52 t[0] += static_cast<V>(a[0]);
53 t[1] *= x;
54 return t[0] + t[1];
55}
56
57template <class T, class V>
58inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V)
59{
60 V x2 = x * x;
61 V t[2];
62 t[0] = a[5] * x2 + a[3];
63 t[1] = a[4] * x2 + a[2];
64 t[0] *= x2;
65 t[1] *= x2;
66 t[0] += static_cast<V>(a[1]);
67 t[1] += static_cast<V>(a[0]);
68 t[0] *= x;
69 return t[0] + t[1];
70}
71
72template <class T, class V>
73inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*) BOOST_MATH_NOEXCEPT(V)
74{
75 V x2 = x * x;
76 V t[2];
77 t[0] = static_cast<V>(a[6] * x2 + a[4]);
78 t[1] = static_cast<V>(a[5] * x2 + a[3]);
79 t[0] *= x2;
80 t[1] *= x2;
81 t[0] += static_cast<V>(a[2]);
82 t[1] += static_cast<V>(a[1]);
83 t[0] *= x2;
84 t[0] += static_cast<V>(a[0]);
85 t[1] *= x;
86 return t[0] + t[1];
87}
88
89template <class T, class V>
90inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*) BOOST_MATH_NOEXCEPT(V)
91{
92 V x2 = x * x;
93 V t[2];
94 t[0] = a[7] * x2 + a[5];
95 t[1] = a[6] * x2 + a[4];
96 t[0] *= x2;
97 t[1] *= x2;
98 t[0] += static_cast<V>(a[3]);
99 t[1] += static_cast<V>(a[2]);
100 t[0] *= x2;
101 t[1] *= x2;
102 t[0] += static_cast<V>(a[1]);
103 t[1] += static_cast<V>(a[0]);
104 t[0] *= x;
105 return t[0] + t[1];
106}
107
108template <class T, class V>
109inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<9>*) BOOST_MATH_NOEXCEPT(V)
110{
111 V x2 = x * x;
112 V t[2];
113 t[0] = static_cast<V>(a[8] * x2 + a[6]);
114 t[1] = static_cast<V>(a[7] * x2 + a[5]);
115 t[0] *= x2;
116 t[1] *= x2;
117 t[0] += static_cast<V>(a[4]);
118 t[1] += static_cast<V>(a[3]);
119 t[0] *= x2;
120 t[1] *= x2;
121 t[0] += static_cast<V>(a[2]);
122 t[1] += static_cast<V>(a[1]);
123 t[0] *= x2;
124 t[0] += static_cast<V>(a[0]);
125 t[1] *= x;
126 return t[0] + t[1];
127}
128
129template <class T, class V>
130inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*) BOOST_MATH_NOEXCEPT(V)
131{
132 V x2 = x * x;
133 V t[2];
134 t[0] = a[9] * x2 + a[7];
135 t[1] = a[8] * x2 + a[6];
136 t[0] *= x2;
137 t[1] *= x2;
138 t[0] += static_cast<V>(a[5]);
139 t[1] += static_cast<V>(a[4]);
140 t[0] *= x2;
141 t[1] *= x2;
142 t[0] += static_cast<V>(a[3]);
143 t[1] += static_cast<V>(a[2]);
144 t[0] *= x2;
145 t[1] *= x2;
146 t[0] += static_cast<V>(a[1]);
147 t[1] += static_cast<V>(a[0]);
148 t[0] *= x;
149 return t[0] + t[1];
150}
151
152
153}}}} // namespaces
154
155#endif // include guard
156