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85 lines
3.1 KiB
85 lines
3.1 KiB
/* 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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