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/* Boost interval/constants.hpp template implementation file
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*
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* Copyright 2002 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or
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* copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#ifndef BOOST_NUMERIC_INTERVAL_CONSTANTS_HPP
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#define BOOST_NUMERIC_INTERVAL_CONSTANTS_HPP
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namespace boost {
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namespace numeric {
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namespace interval_lib {
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namespace constants {
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// These constants should be exactly computed.
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// Decimal representations wouldn't do it since the standard doesn't
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// specify the rounding (even nearest) that should be used.
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static const float pi_f_l = 13176794.0f/(1<<22);
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static const float pi_f_u = 13176795.0f/(1<<22);
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static const double pi_d_l = (3373259426.0 + 273688.0 / (1<<21)) / (1<<30);
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static const double pi_d_u = (3373259426.0 + 273689.0 / (1<<21)) / (1<<30);
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template<class T> inline T pi_lower() { return 3; }
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template<class T> inline T pi_upper() { return 4; }
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template<class T> inline T pi_half_lower() { return 1; }
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template<class T> inline T pi_half_upper() { return 2; }
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template<class T> inline T pi_twice_lower() { return 6; }
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template<class T> inline T pi_twice_upper() { return 7; }
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template<> inline float pi_lower<float>() { return pi_f_l; }
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template<> inline float pi_upper<float>() { return pi_f_u; }
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template<> inline float pi_half_lower<float>() { return pi_f_l / 2; }
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template<> inline float pi_half_upper<float>() { return pi_f_u / 2; }
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template<> inline float pi_twice_lower<float>() { return pi_f_l * 2; }
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template<> inline float pi_twice_upper<float>() { return pi_f_u * 2; }
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template<> inline double pi_lower<double>() { return pi_d_l; }
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template<> inline double pi_upper<double>() { return pi_d_u; }
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template<> inline double pi_half_lower<double>() { return pi_d_l / 2; }
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template<> inline double pi_half_upper<double>() { return pi_d_u / 2; }
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template<> inline double pi_twice_lower<double>() { return pi_d_l * 2; }
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template<> inline double pi_twice_upper<double>() { return pi_d_u * 2; }
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template<> inline long double pi_lower<long double>() { return pi_d_l; }
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template<> inline long double pi_upper<long double>() { return pi_d_u; }
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template<> inline long double pi_half_lower<long double>() { return pi_d_l / 2; }
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template<> inline long double pi_half_upper<long double>() { return pi_d_u / 2; }
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template<> inline long double pi_twice_lower<long double>() { return pi_d_l * 2; }
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template<> inline long double pi_twice_upper<long double>() { return pi_d_u * 2; }
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} // namespace constants
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template<class I> inline
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I pi()
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{
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typedef typename I::base_type T;
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return I(constants::pi_lower<T>(),
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constants::pi_upper<T>(), true);
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}
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template<class I> inline
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I pi_half()
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{
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typedef typename I::base_type T;
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return I(constants::pi_half_lower<T>(),
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constants::pi_half_upper<T>(), true);
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}
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template<class I> inline
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I pi_twice()
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{
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typedef typename I::base_type T;
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return I(constants::pi_twice_lower<T>(),
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constants::pi_twice_upper<T>(), true);
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}
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} // namespace interval_lib
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} // namespace numeric
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} // namespace boost
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#endif // BOOST_NUMERIC_INTERVAL_CONSTANTS_HPP
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