tools/detail/polynomial_horner3_14.hpp

0001 //  (C) Copyright John Maddock 2007.
0002 //  Use, modification and distribution are subject to the
0003 //  Boost Software License, Version 1.0. (See accompanying file
0004 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
0005 //
0006 //  This file is machine generated, do not edit by hand
0007
0008 // Unrolled polynomial evaluation using second order Horners rule
0009 #ifndef BOOST_MATH_TOOLS_POLY_EVAL_14_HPP
0010 #define BOOST_MATH_TOOLS_POLY_EVAL_14_HPP
0011
0012 namespace boost{ namespace math{ namespace tools{ namespace detail{
0013
0014 template <class T, class V>
0015 inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V)
0016 {
0017    return static_cast<V>(0);
0018 }
0019
0020 template <class T, class V>
0021 inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V)
0022 {
0023    return static_cast<V>(a[0]);
0024 }
0025
0026 template <class T, class V>
0027 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V)
0028 {
0029    return static_cast<V>(a[1] * x + a[0]);
0030 }
0031
0032 template <class T, class V>
0033 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V)
0034 {
0035    return static_cast<V>((a[2] * x + a[1]) * x + a[0]);
0036 }
0037
0038 template <class T, class V>
0039 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V)
0040 {
0041    return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]);
0042 }
0043
0044 template <class T, class V>
0045 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V)
0046 {
0047    V x2 = x * x;
0048    V t[2];
0049    t[0] = static_cast<V>(a[4] * x2 + a[2]);
0050    t[1] = static_cast<V>(a[3] * x2 + a[1]);
0051    t[0] *= x2;
0052    t[0] += static_cast<V>(a[0]);
0053    t[1] *= x;
0054    return t[0] + t[1];
0055 }
0056
0057 template <class T, class V>
0058 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V)
0059 {
0060    V x2 = x * x;
0061    V t[2];
0062    t[0] = a[5] * x2 + a[3];
0063    t[1] = a[4] * x2 + a[2];
0064    t[0] *= x2;
0065    t[1] *= x2;
0066    t[0] += static_cast<V>(a[1]);
0067    t[1] += static_cast<V>(a[0]);
0068    t[0] *= x;
0069    return t[0] + t[1];
0070 }
0071
0072 template <class T, class V>
0073 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V)
0074 {
0075    V x2 = x * x;
0076    V t[2];
0077    t[0] = static_cast<V>(a[6] * x2 + a[4]);
0078    t[1] = static_cast<V>(a[5] * x2 + a[3]);
0079    t[0] *= x2;
0080    t[1] *= x2;
0081    t[0] += static_cast<V>(a[2]);
0082    t[1] += static_cast<V>(a[1]);
0083    t[0] *= x2;
0084    t[0] += static_cast<V>(a[0]);
0085    t[1] *= x;
0086    return t[0] + t[1];
0087 }
0088
0089 template <class T, class V>
0090 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V)
0091 {
0092    V x2 = x * x;
0093    V t[2];
0094    t[0] = a[7] * x2 + a[5];
0095    t[1] = a[6] * x2 + a[4];
0096    t[0] *= x2;
0097    t[1] *= x2;
0098    t[0] += static_cast<V>(a[3]);
0099    t[1] += static_cast<V>(a[2]);
0100    t[0] *= x2;
0101    t[1] *= x2;
0102    t[0] += static_cast<V>(a[1]);
0103    t[1] += static_cast<V>(a[0]);
0104    t[0] *= x;
0105    return t[0] + t[1];
0106 }
0107
0108 template <class T, class V>
0109 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V)
0110 {
0111    V x2 = x * x;
0112    V t[2];
0113    t[0] = static_cast<V>(a[8] * x2 + a[6]);
0114    t[1] = static_cast<V>(a[7] * x2 + a[5]);
0115    t[0] *= x2;
0116    t[1] *= x2;
0117    t[0] += static_cast<V>(a[4]);
0118    t[1] += static_cast<V>(a[3]);
0119    t[0] *= x2;
0120    t[1] *= x2;
0121    t[0] += static_cast<V>(a[2]);
0122    t[1] += static_cast<V>(a[1]);
0123    t[0] *= x2;
0124    t[0] += static_cast<V>(a[0]);
0125    t[1] *= x;
0126    return t[0] + t[1];
0127 }
0128
0129 template <class T, class V>
0130 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V)
0131 {
0132    V x2 = x * x;
0133    V t[2];
0134    t[0] = a[9] * x2 + a[7];
0135    t[1] = a[8] * x2 + a[6];
0136    t[0] *= x2;
0137    t[1] *= x2;
0138    t[0] += static_cast<V>(a[5]);
0139    t[1] += static_cast<V>(a[4]);
0140    t[0] *= x2;
0141    t[1] *= x2;
0142    t[0] += static_cast<V>(a[3]);
0143    t[1] += static_cast<V>(a[2]);
0144    t[0] *= x2;
0145    t[1] *= x2;
0146    t[0] += static_cast<V>(a[1]);
0147    t[1] += static_cast<V>(a[0]);
0148    t[0] *= x;
0149    return t[0] + t[1];
0150 }
0151
0152 template <class T, class V>
0153 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V)
0154 {
0155    V x2 = x * x;
0156    V t[2];
0157    t[0] = static_cast<V>(a[10] * x2 + a[8]);
0158    t[1] = static_cast<V>(a[9] * x2 + a[7]);
0159    t[0] *= x2;
0160    t[1] *= x2;
0161    t[0] += static_cast<V>(a[6]);
0162    t[1] += static_cast<V>(a[5]);
0163    t[0] *= x2;
0164    t[1] *= x2;
0165    t[0] += static_cast<V>(a[4]);
0166    t[1] += static_cast<V>(a[3]);
0167    t[0] *= x2;
0168    t[1] *= x2;
0169    t[0] += static_cast<V>(a[2]);
0170    t[1] += static_cast<V>(a[1]);
0171    t[0] *= x2;
0172    t[0] += static_cast<V>(a[0]);
0173    t[1] *= x;
0174    return t[0] + t[1];
0175 }
0176
0177 template <class T, class V>
0178 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V)
0179 {
0180    V x2 = x * x;
0181    V t[2];
0182    t[0] = a[11] * x2 + a[9];
0183    t[1] = a[10] * x2 + a[8];
0184    t[0] *= x2;
0185    t[1] *= x2;
0186    t[0] += static_cast<V>(a[7]);
0187    t[1] += static_cast<V>(a[6]);
0188    t[0] *= x2;
0189    t[1] *= x2;
0190    t[0] += static_cast<V>(a[5]);
0191    t[1] += static_cast<V>(a[4]);
0192    t[0] *= x2;
0193    t[1] *= x2;
0194    t[0] += static_cast<V>(a[3]);
0195    t[1] += static_cast<V>(a[2]);
0196    t[0] *= x2;
0197    t[1] *= x2;
0198    t[0] += static_cast<V>(a[1]);
0199    t[1] += static_cast<V>(a[0]);
0200    t[0] *= x;
0201    return t[0] + t[1];
0202 }
0203
0204 template <class T, class V>
0205 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V)
0206 {
0207    V x2 = x * x;
0208    V t[2];
0209    t[0] = static_cast<V>(a[12] * x2 + a[10]);
0210    t[1] = static_cast<V>(a[11] * x2 + a[9]);
0211    t[0] *= x2;
0212    t[1] *= x2;
0213    t[0] += static_cast<V>(a[8]);
0214    t[1] += static_cast<V>(a[7]);
0215    t[0] *= x2;
0216    t[1] *= x2;
0217    t[0] += static_cast<V>(a[6]);
0218    t[1] += static_cast<V>(a[5]);
0219    t[0] *= x2;
0220    t[1] *= x2;
0221    t[0] += static_cast<V>(a[4]);
0222    t[1] += static_cast<V>(a[3]);
0223    t[0] *= x2;
0224    t[1] *= x2;
0225    t[0] += static_cast<V>(a[2]);
0226    t[1] += static_cast<V>(a[1]);
0227    t[0] *= x2;
0228    t[0] += static_cast<V>(a[0]);
0229    t[1] *= x;
0230    return t[0] + t[1];
0231 }
0232
0233 template <class T, class V>
0234 inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V)
0235 {
0236    V x2 = x * x;
0237    V t[2];
0238    t[0] = a[13] * x2 + a[11];
0239    t[1] = a[12] * x2 + a[10];
0240    t[0] *= x2;
0241    t[1] *= x2;
0242    t[0] += static_cast<V>(a[9]);
0243    t[1] += static_cast<V>(a[8]);
0244    t[0] *= x2;
0245    t[1] *= x2;
0246    t[0] += static_cast<V>(a[7]);
0247    t[1] += static_cast<V>(a[6]);
0248    t[0] *= x2;
0249    t[1] *= x2;
0250    t[0] += static_cast<V>(a[5]);
0251    t[1] += static_cast<V>(a[4]);
0252    t[0] *= x2;
0253    t[1] *= x2;
0254    t[0] += static_cast<V>(a[3]);
0255    t[1] += static_cast<V>(a[2]);
0256    t[0] *= x2;
0257    t[1] *= x2;
0258    t[0] += static_cast<V>(a[1]);
0259    t[1] += static_cast<V>(a[0]);
0260    t[0] *= x;
0261    return t[0] + t[1];
0262 }
0263
0264
0265 }}}} // namespaces
0266
0267 #endif // include guard
0268