summaryrefslogtreecommitdiff
path: root/boost/math/tools/detail/polynomial_horner3_7.hpp
blob: d45a6222781090f6e419eaaefcaebf82cf712e6e (plain)
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
//  (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

// Unrolled polynomial evaluation using second order Horners rule
#ifndef BOOST_MATH_TOOLS_POLY_EVAL_7_HPP
#define BOOST_MATH_TOOLS_POLY_EVAL_7_HPP

namespace boost{ namespace math{ namespace tools{ namespace detail{

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T*, const V&, const mpl::int_<0>*)
{
   return static_cast<V>(0);
}

template <class T, class V>
inline 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>
inline 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>
inline 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>
inline 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>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[4] * x2 + a[2]);
   t[1] = static_cast<V>(a[3] * x2 + a[1]);
   t[0] *= x2;
   t[0] += static_cast<V>(a[0]);
   t[1] *= x;
   return t[0] + t[1];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[5] * x2 + a[3];
   t[1] = a[4] * x2 + a[2];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[1]);
   t[1] += static_cast<V>(a[0]);
   t[0] *= x;
   return t[0] + t[1];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[6] * x2 + a[4]);
   t[1] = static_cast<V>(a[5] * x2 + a[3]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[2]);
   t[1] += static_cast<V>(a[1]);
   t[0] *= x2;
   t[0] += static_cast<V>(a[0]);
   t[1] *= x;
   return t[0] + t[1];
}


}}}} // namespaces

#endif // include guard