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			3.7 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			133 lines
		
	
	
		
			3.7 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | //  (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_6_HPP | ||
|  | #define BOOST_MATH_TOOLS_RAT_EVAL_6_HPP | ||
|  | 
 | ||
|  | namespace boost{ namespace math{ namespace tools{ namespace detail{ | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T*, const U*, const V&, const mpl::int_<0>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    return static_cast<V>(0); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    return static_cast<V>(a[0]) / static_cast<V>(b[0]); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<2>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<3>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<4>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    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])); | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    if(x <= 1) | ||
|  |    { | ||
|  |       V x2 = x * x; | ||
|  |       V t[4]; | ||
|  |       t[0] = a[4] * x2 + a[2]; | ||
|  |       t[1] = a[3] * x2 + a[1]; | ||
|  |       t[2] = b[4] * x2 + b[2]; | ||
|  |       t[3] = b[3] * x2 + b[1]; | ||
|  |       t[0] *= x2; | ||
|  |       t[2] *= x2; | ||
|  |       t[0] += static_cast<V>(a[0]); | ||
|  |       t[2] += static_cast<V>(b[0]); | ||
|  |       t[1] *= x; | ||
|  |       t[3] *= x; | ||
|  |       return (t[0] + t[1]) / (t[2] + t[3]); | ||
|  |    } | ||
|  |    else | ||
|  |    { | ||
|  |       V z = 1 / x; | ||
|  |       V z2 = 1 / (x * x); | ||
|  |       V t[4]; | ||
|  |       t[0] = a[0] * z2 + a[2]; | ||
|  |       t[1] = a[1] * z2 + a[3]; | ||
|  |       t[2] = b[0] * z2 + b[2]; | ||
|  |       t[3] = b[1] * z2 + b[3]; | ||
|  |       t[0] *= z2; | ||
|  |       t[2] *= z2; | ||
|  |       t[0] += static_cast<V>(a[4]); | ||
|  |       t[2] += static_cast<V>(b[4]); | ||
|  |       t[1] *= z; | ||
|  |       t[3] *= z; | ||
|  |       return (t[0] + t[1]) / (t[2] + t[3]); | ||
|  |    } | ||
|  | } | ||
|  | 
 | ||
|  | template <class T, class U, class V> | ||
|  | inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V) | ||
|  | { | ||
|  |    if(x <= 1) | ||
|  |    { | ||
|  |       V x2 = x * x; | ||
|  |       V t[4]; | ||
|  |       t[0] = a[5] * x2 + a[3]; | ||
|  |       t[1] = a[4] * x2 + a[2]; | ||
|  |       t[2] = b[5] * x2 + b[3]; | ||
|  |       t[3] = b[4] * x2 + b[2]; | ||
|  |       t[0] *= x2; | ||
|  |       t[1] *= x2; | ||
|  |       t[2] *= x2; | ||
|  |       t[3] *= x2; | ||
|  |       t[0] += static_cast<V>(a[1]); | ||
|  |       t[1] += static_cast<V>(a[0]); | ||
|  |       t[2] += static_cast<V>(b[1]); | ||
|  |       t[3] += static_cast<V>(b[0]); | ||
|  |       t[0] *= x; | ||
|  |       t[2] *= x; | ||
|  |       return (t[0] + t[1]) / (t[2] + t[3]); | ||
|  |    } | ||
|  |    else | ||
|  |    { | ||
|  |       V z = 1 / x; | ||
|  |       V z2 = 1 / (x * x); | ||
|  |       V t[4]; | ||
|  |       t[0] = a[0] * z2 + a[2]; | ||
|  |       t[1] = a[1] * z2 + a[3]; | ||
|  |       t[2] = b[0] * z2 + b[2]; | ||
|  |       t[3] = b[1] * z2 + b[3]; | ||
|  |       t[0] *= z2; | ||
|  |       t[1] *= z2; | ||
|  |       t[2] *= z2; | ||
|  |       t[3] *= z2; | ||
|  |       t[0] += static_cast<V>(a[4]); | ||
|  |       t[1] += static_cast<V>(a[5]); | ||
|  |       t[2] += static_cast<V>(b[4]); | ||
|  |       t[3] += static_cast<V>(b[5]); | ||
|  |       t[0] *= z; | ||
|  |       t[2] *= z; | ||
|  |       return (t[0] + t[1]) / (t[2] + t[3]); | ||
|  |    } | ||
|  | } | ||
|  | 
 | ||
|  | 
 | ||
|  | }}}} // namespaces | ||
|  | 
 | ||
|  | #endif // include guard | ||
|  | 
 |