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