Boost C++ Libraries

...one of the most highly regarded and expertly designed C++ library projects in the world. — Herb Sutter and Andrei Alexandrescu, C++ Coding Standards

This is the documentation for an old version of Boost. Click here to view this page for the latest version.

boost/math/tools/detail/polynomial_horner3_19.hpp

//  (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_19_HPP
#define BOOST_MATH_TOOLS_POLY_EVAL_19_HPP

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

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, 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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[7] * x2 + a[5];
   t[1] = a[6] * x2 + a[4];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<9>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[8] * x2 + a[6]);
   t[1] = static_cast<V>(a[7] * x2 + a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[9] * x2 + a[7];
   t[1] = a[8] * x2 + a[6];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[5]);
   t[1] += static_cast<V>(a[4]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<11>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[10] * x2 + a[8]);
   t[1] = static_cast<V>(a[9] * x2 + a[7]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[6]);
   t[1] += static_cast<V>(a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<12>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[11] * x2 + a[9];
   t[1] = a[10] * x2 + a[8];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[7]);
   t[1] += static_cast<V>(a[6]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[5]);
   t[1] += static_cast<V>(a[4]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<13>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[12] * x2 + a[10]);
   t[1] = static_cast<V>(a[11] * x2 + a[9]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[8]);
   t[1] += static_cast<V>(a[7]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[6]);
   t[1] += static_cast<V>(a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<14>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[13] * x2 + a[11];
   t[1] = a[12] * x2 + a[10];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[9]);
   t[1] += static_cast<V>(a[8]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[7]);
   t[1] += static_cast<V>(a[6]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[5]);
   t[1] += static_cast<V>(a[4]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<15>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[14] * x2 + a[12]);
   t[1] = static_cast<V>(a[13] * x2 + a[11]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[10]);
   t[1] += static_cast<V>(a[9]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[8]);
   t[1] += static_cast<V>(a[7]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[6]);
   t[1] += static_cast<V>(a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<16>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[15] * x2 + a[13];
   t[1] = a[14] * x2 + a[12];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[11]);
   t[1] += static_cast<V>(a[10]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[9]);
   t[1] += static_cast<V>(a[8]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[7]);
   t[1] += static_cast<V>(a[6]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[5]);
   t[1] += static_cast<V>(a[4]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<17>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[16] * x2 + a[14]);
   t[1] = static_cast<V>(a[15] * x2 + a[13]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[12]);
   t[1] += static_cast<V>(a[11]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[10]);
   t[1] += static_cast<V>(a[9]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[8]);
   t[1] += static_cast<V>(a[7]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[6]);
   t[1] += static_cast<V>(a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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];
}

template <class T, class V>
inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<18>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = a[17] * x2 + a[15];
   t[1] = a[16] * x2 + a[14];
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[13]);
   t[1] += static_cast<V>(a[12]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[11]);
   t[1] += static_cast<V>(a[10]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[9]);
   t[1] += static_cast<V>(a[8]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[7]);
   t[1] += static_cast<V>(a[6]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[5]);
   t[1] += static_cast<V>(a[4]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[3]);
   t[1] += static_cast<V>(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_<19>*)
{
   V x2 = x * x;
   V t[2];
   t[0] = static_cast<V>(a[18] * x2 + a[16]);
   t[1] = static_cast<V>(a[17] * x2 + a[15]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[14]);
   t[1] += static_cast<V>(a[13]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[12]);
   t[1] += static_cast<V>(a[11]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[10]);
   t[1] += static_cast<V>(a[9]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[8]);
   t[1] += static_cast<V>(a[7]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[6]);
   t[1] += static_cast<V>(a[5]);
   t[0] *= x2;
   t[1] *= x2;
   t[0] += static_cast<V>(a[4]);
   t[1] += static_cast<V>(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