/usr/include/boost/math/tools/detail
Edit: /usr/include/boost/math/tools/detail/rational_horner2_13.hpp (9013B)
// (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 BOOST_MATH_TOOLS_RAT_EVAL_13_HPP
#define BOOST_MATH_TOOLS_RAT_EVAL_13_HPP
namespace boost{ namespace math{ namespace tools{ namespace detail{
template
inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
return static_cast(0);
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
return static_cast(a[0]) / static_cast(b[0]);
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
return static_cast((a[1] * x + a[0]) / (b[1] * x + b[0]));
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
return static_cast(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
return static_cast((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0]));
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast(((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x) / ((b[4] * x2 + b[2]) * x2 + b[0] + (b[3] * x2 + b[1]) * x));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast(((a[0] * z2 + a[2]) * z2 + a[4] + (a[1] * z2 + a[3]) * z) / ((b[0] * z2 + b[2]) * z2 + b[4] + (b[1] * z2 + b[3]) * z));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast((((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]) / (((b[5] * x2 + b[3]) * x2 + b[1]) * x + (b[4] * x2 + b[2]) * x2 + b[0]));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast((((a[0] * z2 + a[2]) * z2 + a[4]) * z + (a[1] * z2 + a[3]) * z2 + a[5]) / (((b[0] * z2 + b[2]) * z2 + b[4]) * z + (b[1] * z2 + b[3]) * z2 + b[5]));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast((((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x) / (((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((b[5] * x2 + b[3]) * x2 + b[1]) * x));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6] + ((a[1] * z2 + a[3]) * z2 + a[5]) * z) / (((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6] + ((b[1] * z2 + b[3]) * z2 + b[5]) * z));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast(((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]) / ((((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((b[6] * x2 + b[4]) * x2 + b[2]) * x2 + b[0]));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast(((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z + ((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) / ((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z + ((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast(((((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) / ((((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((b[7] * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast(((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z2 + a[8] + (((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) * z) / ((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z2 + b[8] + (((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]) * z));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast((((((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]) / (((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + (((b[8] * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0]));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast((((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z2 + a[8]) * z + (((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) * z2 + a[9]) / (((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z2 + b[8]) * z + (((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]) * z2 + b[9]));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast((((((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) / (((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + ((((b[9] * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast((((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z2 + a[8]) * z2 + a[10] + ((((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) * z2 + a[9]) * z) / (((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z2 + b[8]) * z2 + b[10] + ((((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]) * z2 + b[9]) * z));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast(((((((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]) / ((((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x + ((((b[10] * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0]));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast(((((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z2 + a[8]) * z2 + a[10]) * z + ((((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) * z2 + a[9]) * z2 + a[11]) / ((((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z2 + b[8]) * z2 + b[10]) * z + ((((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]) * z2 + b[9]) * z2 + b[11]));
}
}
template
inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::integral_constant*) BOOST_MATH_NOEXCEPT(V)
{
if(x <= 1)
{
V x2 = x * x;
return static_cast(((((((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) / ((((((b[12] * x2 + b[10]) * x2 + b[8]) * x2 + b[6]) * x2 + b[4]) * x2 + b[2]) * x2 + b[0] + (((((b[11] * x2 + b[9]) * x2 + b[7]) * x2 + b[5]) * x2 + b[3]) * x2 + b[1]) * x));
}
else
{
V z = 1 / x;
V z2 = 1 / (x * x);
return static_cast(((((((a[0] * z2 + a[2]) * z2 + a[4]) * z2 + a[6]) * z2 + a[8]) * z2 + a[10]) * z2 + a[12] + (((((a[1] * z2 + a[3]) * z2 + a[5]) * z2 + a[7]) * z2 + a[9]) * z2 + a[11]) * z) / ((((((b[0] * z2 + b[2]) * z2 + b[4]) * z2 + b[6]) * z2 + b[8]) * z2 + b[10]) * z2 + b[12] + (((((b[1] * z2 + b[3]) * z2 + b[5]) * z2 + b[7]) * z2 + b[9]) * z2 + b[11]) * z));
}
}
}}}} // namespaces
#endif // include guard