86 lines
3.2 KiB
C++
86 lines
3.2 KiB
C++
|
/* Boost interval/constants.hpp template implementation file
|
|||
|
*
|
|||
|
* Copyright 2002 Herv<EFBFBD> Br<EFBFBD>nnimann, 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<class T> inline T pi_lower() { return 3; }
|
|||
|
template<class T> inline T pi_upper() { return 4; }
|
|||
|
template<class T> inline T pi_half_lower() { return 1; }
|
|||
|
template<class T> inline T pi_half_upper() { return 2; }
|
|||
|
template<class T> inline T pi_twice_lower() { return 6; }
|
|||
|
template<class T> inline T pi_twice_upper() { return 7; }
|
|||
|
|
|||
|
template<> inline float pi_lower<float>() { return pi_f_l; }
|
|||
|
template<> inline float pi_upper<float>() { return pi_f_u; }
|
|||
|
template<> inline float pi_half_lower<float>() { return pi_f_l / 2; }
|
|||
|
template<> inline float pi_half_upper<float>() { return pi_f_u / 2; }
|
|||
|
template<> inline float pi_twice_lower<float>() { return pi_f_l * 2; }
|
|||
|
template<> inline float pi_twice_upper<float>() { return pi_f_u * 2; }
|
|||
|
|
|||
|
template<> inline double pi_lower<double>() { return pi_d_l; }
|
|||
|
template<> inline double pi_upper<double>() { return pi_d_u; }
|
|||
|
template<> inline double pi_half_lower<double>() { return pi_d_l / 2; }
|
|||
|
template<> inline double pi_half_upper<double>() { return pi_d_u / 2; }
|
|||
|
template<> inline double pi_twice_lower<double>() { return pi_d_l * 2; }
|
|||
|
template<> inline double pi_twice_upper<double>() { return pi_d_u * 2; }
|
|||
|
|
|||
|
template<> inline long double pi_lower<long double>() { return pi_d_l; }
|
|||
|
template<> inline long double pi_upper<long double>() { return pi_d_u; }
|
|||
|
template<> inline long double pi_half_lower<long double>() { return pi_d_l / 2; }
|
|||
|
template<> inline long double pi_half_upper<long double>() { return pi_d_u / 2; }
|
|||
|
template<> inline long double pi_twice_lower<long double>() { return pi_d_l * 2; }
|
|||
|
template<> inline long double pi_twice_upper<long double>() { return pi_d_u * 2; }
|
|||
|
|
|||
|
} // namespace constants
|
|||
|
|
|||
|
template<class I> inline
|
|||
|
I pi()
|
|||
|
{
|
|||
|
typedef typename I::base_type T;
|
|||
|
return I(constants::pi_lower<T>(),
|
|||
|
constants::pi_upper<T>(), true);
|
|||
|
}
|
|||
|
|
|||
|
template<class I> inline
|
|||
|
I pi_half()
|
|||
|
{
|
|||
|
typedef typename I::base_type T;
|
|||
|
return I(constants::pi_half_lower<T>(),
|
|||
|
constants::pi_half_upper<T>(), true);
|
|||
|
}
|
|||
|
|
|||
|
template<class I> inline
|
|||
|
I pi_twice()
|
|||
|
{
|
|||
|
typedef typename I::base_type T;
|
|||
|
return I(constants::pi_twice_lower<T>(),
|
|||
|
constants::pi_twice_upper<T>(), true);
|
|||
|
}
|
|||
|
|
|||
|
} // namespace interval_lib
|
|||
|
} // namespace numeric
|
|||
|
} // namespace boost
|
|||
|
|
|||
|
#endif // BOOST_NUMERIC_INTERVAL_CONSTANTS_HPP
|