/
polynomial_horner2_20.hpp
160 lines (134 loc) · 6.38 KB
/
polynomial_horner2_20.hpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
// Copied from Boost, just to change inline to constexpr.
// (C) Copyright John Maddock 2007.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
//
// This file is machine generated, do not edit by hand
// Polynomial evaluation using second order Horners rule
#ifndef NAM_POLY_EVAL_20_HPP
#define NAM_POLY_EVAL_20_HPP
namespace detail{
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*)
{
return static_cast<V>(0);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*)
{
return static_cast<V>(a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<2>*)
{
return static_cast<V>(a[1] * x + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<3>*)
{
return static_cast<V>((a[2] * x + a[1]) * x + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<4>*)
{
return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*)
{
V x2 = x * x;
return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*)
{
V x2 = x * x;
return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*)
{
V x2 = x * x;
return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*)
{
V x2 = x * x;
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]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<9>*)
{
V x2 = x * x;
return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*)
{
V x2 = x * x;
return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<11>*)
{
V x2 = x * x;
return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<12>*)
{
V x2 = x * x;
return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<13>*)
{
V x2 = x * x;
return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<14>*)
{
V x2 = x * x;
return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<15>*)
{
V x2 = x * x;
return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<16>*)
{
V x2 = x * x;
return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<17>*)
{
V x2 = x * x;
return static_cast<V>((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<18>*)
{
V x2 = x * x;
return static_cast<V>(((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<19>*)
{
V x2 = x * x;
return static_cast<V>(((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x);
}
template <class T, class V>
constexpr V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<20>*)
{
V x2 = x * x;
return static_cast<V>((((((((((a[19] * x2 + a[17]) * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]);
}
} // namespace detail
#endif // include guard