65 lines
2.2 KiB
Plaintext
65 lines
2.2 KiB
Plaintext
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// (C) Copyright John Maddock 2007.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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//
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// This file is machine generated, do not edit by hand
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// Polynomial evaluation using second order Horners rule
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#ifndef BOOST_MATH_TOOLS_RAT_EVAL_5_HPP
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#define BOOST_MATH_TOOLS_RAT_EVAL_5_HPP
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namespace boost{ namespace math{ namespace tools{ namespace detail{
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V)
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{
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return static_cast<V>(0);
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}
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V)
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{
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return static_cast<V>(a[0]) / static_cast<V>(b[0]);
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}
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*) BOOST_MATH_NOEXCEPT(V)
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{
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return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0]));
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}
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*) BOOST_MATH_NOEXCEPT(V)
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{
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return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0]));
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}
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*) BOOST_MATH_NOEXCEPT(V)
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{
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return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0]));
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}
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template <class T, class U, class V>
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inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V)
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{
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if(x <= 1)
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{
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V x2 = x * x;
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return static_cast<V>(((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));
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}
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else
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{
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V z = 1 / x;
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V z2 = 1 / (x * x);
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return static_cast<V>(((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));
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}
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}
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}}}} // namespaces
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#endif // include guard
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