// (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_9_HPP #define BOOST_MATH_TOOLS_RAT_EVAL_9_HPP namespace boost{ namespace math{ namespace tools{ namespace detail{ template inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*) { return static_cast(0); } template inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*) { 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 mpl::int_<2>*) { 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 mpl::int_<3>*) { 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 mpl::int_<4>*) { 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 mpl::int_<5>*) { 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 mpl::int_<6>*) { 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 mpl::int_<7>*) { 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 mpl::int_<8>*) { 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 mpl::int_<9>*) { 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)); } } }}}} // namespaces #endif // include guard