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			413 lines
		
	
	
		
			10 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| //  (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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| 
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| // Unrolled polynomial evaluation using second order Horners rule
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| #ifndef BOOST_MATH_TOOLS_POLY_EVAL_18_HPP
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| #define BOOST_MATH_TOOLS_POLY_EVAL_18_HPP
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| 
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| namespace boost{ namespace math{ namespace tools{ namespace detail{
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T*, 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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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V&, const mpl::int_<1>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    return static_cast<V>(a[0]);
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, 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]);
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, 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]);
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, 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]);
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<5>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[4] * x2 + a[2]);
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|    t[1] = static_cast<V>(a[3] * x2 + a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<6>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[5] * x2 + a[3];
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|    t[1] = a[4] * x2 + a[2];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<7>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[6] * x2 + a[4]);
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|    t[1] = static_cast<V>(a[5] * x2 + a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<8>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[7] * x2 + a[5];
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|    t[1] = a[6] * x2 + a[4];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<9>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[8] * x2 + a[6]);
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|    t[1] = static_cast<V>(a[7] * x2 + a[5]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[4]);
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|    t[1] += static_cast<V>(a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<10>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[9] * x2 + a[7];
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|    t[1] = a[8] * x2 + a[6];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[5]);
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|    t[1] += static_cast<V>(a[4]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<11>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[10] * x2 + a[8]);
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|    t[1] = static_cast<V>(a[9] * x2 + a[7]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[6]);
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|    t[1] += static_cast<V>(a[5]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[4]);
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|    t[1] += static_cast<V>(a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<12>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[11] * x2 + a[9];
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|    t[1] = a[10] * x2 + a[8];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[7]);
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|    t[1] += static_cast<V>(a[6]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[5]);
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|    t[1] += static_cast<V>(a[4]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<13>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[12] * x2 + a[10]);
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|    t[1] = static_cast<V>(a[11] * x2 + a[9]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[8]);
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|    t[1] += static_cast<V>(a[7]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[6]);
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|    t[1] += static_cast<V>(a[5]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[4]);
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|    t[1] += static_cast<V>(a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<14>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[13] * x2 + a[11];
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|    t[1] = a[12] * x2 + a[10];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[9]);
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|    t[1] += static_cast<V>(a[8]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[7]);
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|    t[1] += static_cast<V>(a[6]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[5]);
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|    t[1] += static_cast<V>(a[4]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<15>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[14] * x2 + a[12]);
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|    t[1] = static_cast<V>(a[13] * x2 + a[11]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[10]);
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|    t[1] += static_cast<V>(a[9]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[8]);
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|    t[1] += static_cast<V>(a[7]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[6]);
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|    t[1] += static_cast<V>(a[5]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[4]);
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|    t[1] += static_cast<V>(a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<16>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[15] * x2 + a[13];
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|    t[1] = a[14] * x2 + a[12];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[11]);
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|    t[1] += static_cast<V>(a[10]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[9]);
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|    t[1] += static_cast<V>(a[8]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[7]);
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|    t[1] += static_cast<V>(a[6]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[5]);
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|    t[1] += static_cast<V>(a[4]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<17>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = static_cast<V>(a[16] * x2 + a[14]);
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|    t[1] = static_cast<V>(a[15] * x2 + a[13]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[12]);
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|    t[1] += static_cast<V>(a[11]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[10]);
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|    t[1] += static_cast<V>(a[9]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[8]);
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|    t[1] += static_cast<V>(a[7]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[6]);
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|    t[1] += static_cast<V>(a[5]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[4]);
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|    t[1] += static_cast<V>(a[3]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[2]);
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|    t[1] += static_cast<V>(a[1]);
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|    t[0] *= x2;
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|    t[0] += static_cast<V>(a[0]);
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|    t[1] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| template <class T, class V>
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| inline V evaluate_polynomial_c_imp(const T* a, const V& x, const mpl::int_<18>*) BOOST_MATH_NOEXCEPT(V)
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| {
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|    V x2 = x * x;
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|    V t[2];
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|    t[0] = a[17] * x2 + a[15];
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|    t[1] = a[16] * x2 + a[14];
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[13]);
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|    t[1] += static_cast<V>(a[12]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[11]);
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|    t[1] += static_cast<V>(a[10]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[9]);
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|    t[1] += static_cast<V>(a[8]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[7]);
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|    t[1] += static_cast<V>(a[6]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[5]);
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|    t[1] += static_cast<V>(a[4]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[3]);
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|    t[1] += static_cast<V>(a[2]);
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|    t[0] *= x2;
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|    t[1] *= x2;
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|    t[0] += static_cast<V>(a[1]);
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|    t[1] += static_cast<V>(a[0]);
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|    t[0] *= x;
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|    return t[0] + t[1];
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| }
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| 
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| 
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| }}}} // namespaces
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| 
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| #endif // include guard
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| 
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